The speed of the train is two more than twice of the time taken to cover 1012 km at uniform speed. W

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03 Mar 2022 Time Distance & Speed

The speed of the train is two more than twice of the time taken to cover 1012 km at uniform speed. What is the ratio of the values of time taken to cover the distance and speed of the train?

OPtion

1) 3 : 5
2) 3 : 7
3) 7 : 15
4) 23 : 48
5) 10 : 21
6) 12 : 25
7) 13 : 24
8) 11 : 23
9) 13 : 27
10) None of these

Solution

Let time taken to cover distance=t, then Speed=(2+2t)
Distance = Speed x Time
1012 = (2+2t) x t
t² + t - 506 = 0
(t+23) (t-22) = 0
t= -23 or 22
Considering +ve value of time t=22
.'. Speed=(2+2x22)=46
Hence required ratio of time and speed = 22/46 = 11/23

Correct Option: 8 Best Solution (3)

Dr.Dipin Singh   2 years AGO

s=2t+2
t*(2t+2)=1012
t*(t+1)=506
t=22
s=46
t/s=22/46=11/23 ..option 8

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G.S.Kantharao   2 years AGO

Let x be the time taken.
Then speed =(2x+2)
1012/(2x+2)=x
506=x^2+x
x^2+x-506=0
(x+23)(x-22)=0
x=22
Time :Speed=11:23
My option is 8👈

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Mayank Kandoi   2 years AGO

Let time taken be t
Speed = Distance / Time
2t +2 = 1012 / t
t² + t - 506 = 0
t = -23 or 22
Time = 22 and Speed = 46
Time / Speed = 22/46 = 11/23

Option 8

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