A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is

M4maths Previous Puzzles

30 Jun 2015 Area A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is: OPtion
1) 24 m
2) 34 m
3) 40 m
4) 28 m
5) 14 m
6) 30 m
7) 22 m
8) 25 m
9) 20 m
10)15 m; Correct Option: 4 Best Solution (79)

Snigdh Mayank 9 years AGO

No. of revolutions = 1000
Now
Distance travelled in 1 revolution = 2 * 22/7 * R
Distance travelled in 1000 revolutions = 2 * 22/7 * R * 1000
1000 * 2 * 22/7 * R = 88000
R = 88000 * 7/1000 * 2 * 22
= 14
Thus , radius of wheel = 14 m
and , diameter of wheel = 2 * R
= 2 * 14
= 28 m

Like? Yes (26) | No (5)

lokesh 9 years AGO

1000 revolution = 88 km
=> 1 revolution = 88 m
=> 2?r = 88
=> r = 14
=> d = 28

Like? Yes (27) | No (8)

shree 9 years AGO

perimeter of the wheel = 88000/1000
=88
therefore, 2*pi*r = 88
r=14
therefore, diameter=2*r= 28m

Like? Yes (13) | No (4)

sourav pal 9 years AGO

No. of revolutions = 1000
Now
Distance travelled in 1 revolution = 2 * 22/7 * R
=> Distance travelled in 1000 revolutions = 2 * 22/7 * R * 1000
=> 1000 * 2 * 22/7 * R = 88000
=> R = 88000 * 7/1000 * 2 * 22
=> = 14
Thus , radius of wheel = 14 m
and , diameter of wheel = 2 * R
= 2 * 14
= 28 m

Like? Yes (7) | No (1)

Vivek 9 years AGO

Circumference of the wheel=22/7*d
where d is the diameter
Now Total distance covered=88km=88*1000
Which is also equal to circumference * No of revolution
i.e 22/7*d*1000
Equating both
88*1000=22/7*d*1000
Therefore d=4*7=28 m
Therefore the answer is 4)

Like? Yes (8) | No (3)

ABHINAV PUSHPAM 9 years AGO

Like? Yes (4) | No

Supriya Mondal 9 years AGO

2*pi*r=88000/1000=88m
so, 2*r=28 m
So, option 4)28 m is the right answer

Like? Yes (6) | No (3)

neha gupta 9 years AGO

let the radius of wheel be r m
then its diameter is 2r m
its circumference=2*pie*r
It covers a distance equal to its circumference in one revolution.
therefore distance covered in 1000 revolutions is= 2*pie*r*1000
According to question it is equal to 88km
2*pie*r*1000=88*1000
2r=(88*7)/22
2r=28
so diameter of wheel=28m

Like? Yes (4) | No (2)

RAJAT KHANDELWAL 9 years AGO

distance covered in one revolution = 2*pi*r
distance covered in 1000 revolutions=1000*2*pi*r
therefore 1000*2*pi*r=88*1000
so diameter(2r)=88/pi
i.e =
28 m

Like? Yes (5) | No (3)

SURAJ KUMAR 9 years AGO

for thousand revolution it covers 88 km
for one revolution it cover 88000/1000 = 88m
circumference of circle =2 x pie x radius
2 x pie x radius = 88
radius = 14
diameter = 2x 14 = 28m.

Like? Yes (8) | No (6)

Soma Naresh 9 years AGO

1 revolution = 2 pi �r
1000 revolutions = 2000pi �r
88 km = 2000 pi�r
88000 = 2000�22�r/7
r = 88000�7/44000
r= 14
diameter = 2�radius= 28

Like? Yes (2) | No

BABYMATHS 9 years AGO

In 1 rotation the wheel covers a distance equal to its circumfence of wheel, which inturn is circle
So 2* 22/7*(d/2) * 1000= 88 * 1000 ( in meters) , on solving we get d as 28 m

Like? Yes (2) | No

nirmal kumar saini 9 years AGO

1000 revolutions for 88000 meters
so for 1 revolution=88 meter
means πd=88
and d=88/π
and d=28 meter

Like? Yes (2) | No

RAMPALA JYOTHI 9 years AGO

for 1000 revolutions wheel makes 2000*3.14*r=88*1000 m
2*3.14*r=88
r=14m
diameter=28m.

Like? Yes (2) | No

yashwant verma 9 years AGO

circumference = (88*1000)/1000=88
2*(22/7)*r=88
therefore r=14
diameter = 2r=28

Like? Yes (2) | No

sumit bansode 9 years AGO

1000�pi�D=88000
D=88�7�22
D=28m

Like? Yes (1) | No

SAGNIK DATTA 9 years AGO

2 pi r = 88
r=14
dia = 28

Like? Yes (1) | No

Ravi shankar 9 years AGO

using formula :
no of rev *pi*dia= tot dist
option 4.

Like? Yes (1) | No

vamsi krishna 9 years AGO

2*pi*r*1000=88000
diameter 2*r=88000/(1000*pi)
diameter = 28

Like? Yes (1) | No

viswambher 9 years AGO

a wheel covers 2pi(radius) distance per revolution
in 1000 revolutions it covers 1000*2pi(radius).
radius = 88*10^3/2 *pi
radius =14
diameter = 2*radius
ans = 28

Like? Yes (1) | No

Abhishek 9 years AGO

Circumference of circle = 2*(pi)*r = 88000/1000
2*r*(22/7)=88
2*r=28
Diameter =28

Like? Yes (2) | No (1)

mohita verma 9 years AGO

circumference of circle is 2*pi*radius
88000=1000(2*22/7*radius)
radius=14m
diameter=2*radius=28 m

Like? Yes (2) | No (1)

sudiptaa 9 years AGO

88km=88000m

2*pi*r*1000=88000
=>2*r=(88000*7)/(1000*22)
=>2*r=28 m

Like? Yes (1) | No

anand vijay 9 years AGO

distance covered by wheel in 1000 revolution=88 km
=88000m
in 1 revolution =88000/1000=88 m
circumference of wheel = 88
2 * pi * r =88/22 * 7
2r= 28 m

hence , diameter of the wheel = 28 m
option (4) is the right answer.

Like? Yes (1) | No

Subha Natarajan 9 years AGO

The wheel revolves 1000 times to cover 88000m.. so it revolves once for every 88 m.. now find the circumference of the wheel.. it will give us the radius which is 14.. therefore the diameter is 28

Like? Yes (1) | No

SOMA NARESH 9 years AGO

1 revolution = 2*pi*r = 2*22*r/7 where r is radius
1000 revolutions = 1000*2*22*r/7 = 44000*r/7
given 1000 revolutions = 88 km = 88000
44000*r/7 = 88000
r = (88000*7)/44000
r = 14
Diameter = 2*r = 2*14 = 28 m

Like? Yes (1) | No

Archie 9 years AGO

We know for circular objects,
No. of revolutions=(Distance covered /Circumference)
----->1000=(88km/2*pi*r)
------>Diametre(2r)=(88000m/(1000*(22/7)))
Solving ,
We get..
Diametre=28m
Hence option 4 is correct

Like? Yes (1) | No

TUSHAR CHHABRA 9 years AGO

1000 rev =88 km
1 rev =88/1000=.088 =88 m
2*3.14*r=88
r=14

Like? Yes (1) | No

PAWAN KUMAR 9 years AGO

r = 88000/(1000*2*pi) = 14m.
So, D = 2r = 28m.

Like? Yes (2) | No (1)

Aravinth kumar 9 years AGO

The total distance traveled is 88 km = 88000 m
No. of revolutions = 1000
Now
Distance traveled in 1 revolution = 2 * 22/7 * R
=> Distance traveled in 1000 revolutions = 2 * 22/7 * R * 1000
=> 1000 * 2 * 22/7 * R = 88000
=> R = 88000 * 7/1000 * 2 * 22
=> = 14
Thus , radius of wheel = 14 m
and , diameter of wheel = 2 * R
= 2 * 14
= 28 m

Like? Yes (1) | No

Hemavathy Nangan 9 years AGO

1 revolution=(88*1000)/1000
= 88 m
circumference(2*pi*r)=88m
r = 14 m
d=28 m

Like? Yes (1) | No

santosh kumar patel 9 years AGO

distance covered in one revolution = (88*1000)/1000=88m
so, 2*22/7*r = 88
so r=(88*7)44 = 14 m
hence diameter = 2r = 2* 14 = 28 m

Like? Yes (1) | No

vivek 9 years AGO

In 1 revolution it covers 88000/1000=88m
so 2*pi*r= 88
Or, pi*d= 88
d= (88/22)*7=28 m

Like? Yes (1) | No

Shaswata Chowdhury 9 years AGO

1000 revolutions=88km
1revolution=88m
2x3.14xr=88
2r or diameter=28m

Like? Yes (1) | No

Billal Hossain 9 years AGO

We know that, Circumference=2*pi*r
if radius is r, then diameter=2r
According to query,
so,2*pi*r*1000=88*1000
or, 2r=88/pi
or, 2r=88/3.1416
or, 2r=28m
Therefore, The diameter of the wheel is 28m(ans)

Like? Yes (1) | No

POOJA SINGH 9 years AGO

Like? Yes (1) | No

Ayon Roy 9 years AGO

the wheel covers 88km /88*1000=88000 min 1000 revolution

so in 1 revolution it covers 88 m.
the perimeter of the circle = 2*pi*r
2*pi(22/7)*r=88
2*r=28

Like? Yes (1) | No

Devendra Marghade 9 years AGO

If radius(in m.)=r, then
1000*(2*Pi*r)=80000, r=14
So diameter=2*14=28 m.

Like? Yes (1) | No

Sourabh Gupta 9 years AGO

total distance =88*1000 m=88000m
distance covered in one revolution = 88000/1000=88m
circumference of wheel = distance in one revolution
(22/7)d=88
d=28

Like? Yes (2) | No (1)

alpesh kurhade 9 years AGO

1000 rev = 88000 met
so,
1 rev = ?
solving ,1 rev = 88 met
i.e. circum = 88 met
2*pi*r=88
2r=28

Like? Yes (1) | No

shreyanka patil 9 years AGO

2(pi)R=88;
2(22/7)R=88;
2*7=R;
R=14;
D=2R;
D=2*14;
D=28.

Like? Yes (1) | No

Piu Rit 9 years AGO

1000*2*(22/7)*r = 88*1000
or, (44/7)* r = 88
or. r = 14
so, d= 2r = 28 m

Like? Yes (1) | No

Sanjoy 9 years AGO

Distance covered in one revolution =((88 X 1000)/1000)= 88m.
2*pi*R = 88 ;2 x (22/7) x R = 88 ; R = 88 x (7/44) = 14 m.
Hence, Diameter=2*R=2*14=28

Like? Yes (1) | No

shweta baheti 9 years AGO

distance covered in one revolution =((88 X 1000)/1000)= 88m.
2{color{Blue}prod }R = 88 ;2 x (22/7) x R = 88 ; R = 88 x (7/44) = 14 m.
diameter is 2x14= 28

Like? Yes (2) | No (1)

Prashant Malvaniya 9 years AGO

The Total distance = (revolution * perimeter of the wheel); 88km=1000*2*pi*Radius 88000 (in meter)=2000*22/7*Radius Radius=88000*7/(44000) =14 m diameter=28 m

Like? Yes (1) | No

Lavanya Rajendran 9 years AGO

2*pi*r*1000=88000
r=(88000)/(2*pi*1000)
r=14m
d=28m

Like? Yes (1) | No

Biren Patel 9 years AGO

1000 revolution= 1000*Circumference of a circle
=1000*πd
=1000*(22/7)d m
distance =1000*(22/7)d m
88km =1000*(22/7)d m
88000 m=1000*(22/7)d m
d=88*7/22
=4*7
=28m

answer is 4).

Like? Yes (3) | No (2)

Jawahar 9 years AGO

The Total distance = (revolution * perimeter of the wheel); 88km=1000*2*pi*Radius 88000 (in meter)=2000*22/7*Radius Radius=88000*7/(44000) =14 m diameter=28 m

Like? Yes (1) | No

Thupakula vasu 9 years AGO

he total distance travelled is 88 km = 88000 m
No. of revolutions = 1000
Distance travelled in 1 revolution = 2 * 22/7 * R
=> Distance travelled in 1000 revolutions = 2 * 22/7 * RUK * 1000
=> 1000 * 2 * 22/7 * R = 88000
=> R = 88000 * 7/1000 * 2 * 22
=> = 14

diameter of wheel = 2 * R
= 2 * 14
= 28 m

Like? Yes (1) | No

krishan kant soni 9 years AGO

1 resolution=2*22/7*r; where r=radius
1000*2*22/7*r=88*1000
r=14
and diameter=2r=2*14=28

Like? Yes (1) | No

BASWARAJ K PATIL 9 years AGO

1) Convert 88km to m by multiplying by 1000. You'll get 88km=88000m.
2) Let the diameter = x. Circumference of the wheel is (π)*(diameter) = (π)*(x).
3) Given that after 100 revolutions the wheel covers a distance of 88000m, the following equation is true:

(1000)*(π)*(x) = (88000)

4) Solving for x, you should get diameter = 28.01m

Like? Yes (1) | No

shahbaz Alam Ansari 9 years AGO

1000 rev = 88 km
1 rev = 88/1000
2*(22/7)*r = 0.088 km
r = 14 m
diameter d = 28 m

Like? Yes (1) | No

Rohit Kumawat 9 years AGO

Answer: 28 m.
Explanation:
Distance covered in 1 revolution is 88/1000 = .088 km = 88 m.
since circumference = 2πr = 88 m.
So diameter is 2r= 88/π =28 m.

Like? Yes (2) | No (1)

Gomathi P 9 years AGO

1 revolution=88m
2*3.14*r=88
r=14.0127
d=28m

Like? Yes (1) | No

Dinesh Kumar Kumawat 9 years AGO

Answer: 28 meter
Explanation:
Distance covered in 1 revolution is 88/1000 = .088 km = 88 meter
since circumference = 2πr = 88 meter
So diameter is 2r= 88/π =28 meter

Like? Yes (1) | No

naina shukla 9 years AGO

The Total distance = (revolution * perimeter of the wheel); 88km=1000*2*pi*Radius
88000 (in meter)=2000*22/7*Radius
Radius=88000*7/(44000) =14 m
diameter=28 m.

Like? Yes (1) | No

Akshay Bhandakkar 9 years AGO

Wheel makes 1000 revolutions for distance of 88 km.
So for 1 revolution,
distance=88000/1000=88 m.
1 revolution of wheel=Circumference of wheel
therefore,diameter of wheel=88/3.14=28 m.

Like? Yes (1) | No

akshay ishwarkar 9 years AGO

distance=n(3.14)diameter
88000=3.14*1000*d
d=28

Like? Yes (1) | No

Shantanu Udapure 9 years AGO

distance covered in one revolution=(88*1000)/1000=88m
distance=2*3.14*r=88
2*22/7*r=88
R=88*(7/44)
=14m
d=2r
d=2*14
d=28

Like? Yes (1) | No

shivam singh 9 years AGO

1 revolution=2*22/7*r
1000 revolution=2*22/7*r=85km(given)
then dia=2r=28m

Like? Yes (1) | No

fatima saeed 9 years AGO

no. Of revolutions=total distance covered.
1 revolution=88m
2pir=88
d=28m

Like? Yes (1) | No

KAVITHA 9 years AGO

Distance covered in one revolution =((88 X 1000)/1000)= 88m.
2*pi*R = 88 ;2 x (22/7) x R = 88 ; R = 88 x (7/44) = 14 m
d=2*14=28

Like? Yes (1) | No

MUKESH 9 years AGO

distance traveled is 88 km=88000
revolution = 1000
distance traveled in 1 rev = 2*3.14*r
88000 = 2*3.14*r
r=14
therefore d= 2 r
=28m

Like? Yes (1) | No

Indumathi 9 years AGO

1 revolution=88m
2*3.14*r=88m
r=14.0127
d=28m

Like? Yes (1) | No

v v shyam kumar 9 years AGO

The total distance travelled is 88 km = 88000 m
No. of revolutions = 1000
Now
Distance travelled in 1 revolution = 2 * 22/7 * R
=> Distance travelled in 1000 revolutions = 2 * 22/7 * R * 1000
=> 1000 * 2 * 22/7 * R = 88000
=> R = 88000 * 7/1000 * 2 * 22
=> = 14
Thus , radius of wheel = 14 m
and , diameter of wheel = 2 * R
= 2 * 14
= 28 m

Like? Yes (2) | No (1)

Aparajitha 9 years AGO

1000*2*pi*r=88000m
=> r=88000/(1000*2*pi)
=> r=14m
=> diameter=2*r=28m

Like? Yes (2) | No (1)

Shiva Sharma 9 years AGO

2*pi*r*1000 = 88000
we want 2r
here value of pi = 22/7
so 2r = 28 m

Like? Yes (1) | No

Chirantan Guin 9 years AGO

Let d be the diameter.
(22/7)*d*1000=88000
d=(88000*7)/(22*1000)
= 4*7
=28m

Like? Yes (1) | No

Shanmukh 9 years AGO

it takes 88000m for 1000 revolutions so for 1 revolution it takes 88m ...and the distance covered by wheel in 1 revolution is 2*pi*r and that is equal to 88m .. so we can find r= 14 from that equation and diameter is 28

Like? Yes (1) | No

jatin 9 years AGO

2*(22/7)*r*1000=88*1000
r=14
d=r*2=14*2=28m

Like? Yes (1) | No

Rajanikanta Pradhan 9 years AGO

1000*2Pi*r= 88000
1000 * 22/7 * r = 88000
44r= 88 * 7
r=14
2r= 28

Like? Yes (1) | No

suraj nath prasad 9 years AGO

1 rev =pi*d,& 1000 rev=88 km
so d=(88*1000)/1000*pi

Like? Yes (1) | No

RAJ KUMAR 9 years AGO

Distance travelled is equal to the circumference of the wheel multiplied with number of revolution...so
88000=2*3.14*r*1000(88km=88000m)
r=14.01m
d=28.02m

Like? Yes (1) | No

Thanakkumar T 9 years AGO

Circumference=3.14d
88/3.14=28km
28*1000/1000=28

Like? Yes (1) | No

ramojirao narayanasetti 9 years AGO

Like? Yes (1) | No

Patel Himaja 9 years AGO

By using the formula.
PI*D*1000=88
Sol: 3.1415*D*1000=88
D=88/3.1415
D=28.011

Like? Yes (1) | No

Thilaka Elangovan 9 years AGO

1rev=88/1000
2pi r = 0.088
r=14
d=28

Like? Yes (2) | No (1)

ajit kumar sharma 9 years AGO

1 revolution=88000m/1000=88m

which is equal to circumference(pie*d) of the wheel
therefore
(22/7)*d=88m
d=(88/22)*7

Like? Yes (1) | No

sudeendra 9 years AGO

No. of �revolutions = 1000

Now

Distance travelled in 1 revolution = 2 * 22/7 * R

=> Distance travelled in 1000 revolutions = 2 * 22/7 * R * 1000

=> � �1000 * 2 * 22/7 * R = 88000

=> � � � � � � � � � � � � � R � � � � = 88000 * 7/1000 * 2 *�22

=> � � � � � � � � � � � � � � � � � � �= �14

�� Thus , radius of wheel = 14 m

�� and �, diameter of wheel = 2 * R

�� = �2 * 14

�� = �28 m

Like? Yes (1) | No (1)

Dimple

India

Punjab

Time: 00:01:33

Points

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A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is

M4maths Previous Puzzles

30 Jun 2015 Area