Home > Practice > Arithmetic Aptitude > Time and Distance > Miscellaneous
1. Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 100 kmph and 136 kmph respectively. How many kilometers from Delhi will the two trains be together:
Let the distance be x km from Delhi where the two trains will be together.
Time taken to cover x km with speed 136 kmph be t hour
and time taken to cover x km with speed 100 kmph (As the train take 45 mins. more) be
=
Now,
100 × = 136t
Or, 25(4t + 3) = 136t
Or, 100t + 75 = 136t
Or, 36t = 75
Or, t = = 2.083 hours
Then, distance x km = 136 × 2.083 ≈ 283.33 km.
Solution:
Difference in time of departure between two trains = 45 min. = hour = hour.Let the distance be x km from Delhi where the two trains will be together.
Time taken to cover x km with speed 136 kmph be t hour
and time taken to cover x km with speed 100 kmph (As the train take 45 mins. more) be
=
Now,
100 × = 136t
Or, 25(4t + 3) = 136t
Or, 100t + 75 = 136t
Or, 36t = 75
Or, t = = 2.083 hours
Then, distance x km = 136 × 2.083 ≈ 283.33 km.