Question

A man travelled a certain distance by train at the rate of 50 km/he and come back by running at an average speed of 8 km/he. The journey took 2 hours 54 min. What distance did he travelled by train?​

Answer 1

A man travelled distance by train is 20 km.

Explanation:

Given: Travelling distance = 50 km/h.

Came back distance = 8 km/h

Time taken to complete the journey = 2 hours 54 min.

Let the distance be x.

Time taken = 2 + $\frac{54}{60}$ ⇒ 2 + $\frac{9}{10}$

= $\frac{29}{10}$ hours.

We know the formula, Speed = distance/time

Therefore, $\frac{x}{50}+\frac{x}{8}=\frac{29}{10}$

$\frac{8x+50x}{400}=\frac{29}{10}$

Cross multiplying, we get

10(8x + 50x) = 29 x 400

80x + 500x = 11600

580x = 11600

x = $\frac{11600}{580}$ = 20 km.

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