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Numerical Ability
Time Distance and Speed
A man walking at 3/4th of the speed, reaches his office late by 2 hours. What is the usual time?
a. 5 hours
b. 3 hours
c. 6 hours
d. 12 hours
Read Solution (Total 15)
-
- speed=1/time
3/4th speed=4/3 time
take usual time x
so (4/3)*x-x=2hrs
x=6hrs - 8 years agoHelpfull: Yes(14) No(1)
- at 3/4th of speed he is late by' 2hrs'
x-3/4(x)=2
x=8
so 8-2=6hrs(since 2 hrs late) - 8 years agoHelpfull: Yes(12) No(6)
- ans)6hr
explanation:-
speed:distance/time
assume speed = v,distance=d,time=t
man walking at 3/4th of the speed=3/4v
and he reaches his office late by 2 hr=t+2
general v=d/t t=d/v--------equation 1
but here t+2=d/(3/4)v ------------equation 2
solve the 2 equations
t/(t+2)=3/4
t=6hr
- 8 years agoHelpfull: Yes(10) No(2)
- S1:S2=1:(3/4)
Since speed and time are inversely proportional. So t1:t2=3/4:1=3:4
Now,diff in time is 2 hrs. So,
4x-3x=2
X=2
So usual time is 3x=6 - 8 years agoHelpfull: Yes(3) No(0)
- let speed be x and current speed=(3/4)x
current time =t+2
distance will be same in both cases
distance = speed * time
x*t= (3/4)*x(t+2)
on solving t=6 hours. - 8 years agoHelpfull: Yes(2) No(0)
- 3/4 =2hr
1/4=x
3/4 × 2= 1/4 × x
X= 3/4 *2*1/4
X=6 - 8 years agoHelpfull: Yes(2) No(0)
- please send me Techmahindra model papers @ lallipaskl94@gmail.com
- 8 years agoHelpfull: Yes(0) No(7)
- Speed=d/t,so t=d/speed ,d/(3/4*speed)=d/speed +2 on solving 4/3*d/speed-d/speed=2,d/speed =6 hours
- 8 years agoHelpfull: Yes(0) No(0)
- ans c ;d=v*t=3v/4*(t+2);t=6
- 8 years agoHelpfull: Yes(0) No(0)
- ans c ;d=v*t=3v/4*(t+2);t=6
- 8 years agoHelpfull: Yes(0) No(0)
- 'x' speed->y hours
(3/4)*'x' speed->(y+2) hours
speed is inversely proportional to time so
x/((3/4)*x) =(y+2)/y
4/3=(y+2)/y
4y=3y+6
y=6
- 8 years agoHelpfull: Yes(0) No(0)
- He decrease the speed 1/3. so if 1/3=2 hours then 1=2*3=6 hours.
- 8 years agoHelpfull: Yes(0) No(0)
- Speed Time
Original s t
Given 3s/4 t-2
here distance is same. hence,
3s/4 * t-2 = s*t
solving this we get t = 2. - 8 years agoHelpfull: Yes(0) No(0)
- formula-numerator of the fraction*time/difference between numerator and denaminator
3*2/1=6 hours - 7 years agoHelpfull: Yes(0) No(0)
- 6 hours.
we know v1t1=v2t2; v1=3/4(v),v2=v,t1=t+2,t2=t
by substituting these values in above formula ,we get the answer as 6hrs. - 6 years agoHelpfull: Yes(0) No(0)
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