Question

6, A train travelling with a speed of 70 kmh leaves Patna at 8 am and another train travelling at
90 kmh leaves Patna at 10a.m. Both the trains are travelling in the same direction. How many
kilometres from Patna will they meet?​

Answer 1

Step-by-step explanation:

Difference in time of departure between two trains = 45 min. = 4560

hour = 34

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

t+34

= 4t+34

Now,

100 × 4t+34

= 136t

Or, 25(4t + 3) = 136t

Or, 100t + 75 = 136t

Or, 36t = 75

Or, t = 7536

= 2.08 hours

Then, distance x km = 136 × 2.084 = 283.33 km.