Question

A man crosses a stationary train in 15 minutes.the same train crosses a man in 50 seconds.what is the respective ratio between

Answer 1

15 minutes = 15*60=900s
900:50=90:5
18:1

Answer 2

18:1 is the ratio between the speed of the man and the train.

Given:

A man crosses stationary train in 15 minutes

The train crosses man in 50 seconds

To find:

Ratio between speed of man and speed of train = ?

Solution:

A man crosses stationary train in 15 minutes $=15 \times 60=900$

Speed $=\frac{\text {Distance}}{\text {Time}}$

Let the length of the train be x

Speed of the man $=\frac{x}{900}$

Speed of the train $=\frac{x}{50}$

Ratio of speed of man to speed of train becomes,

$\frac{x}{900} : \frac{x}{50}$

Ratio =18 : 1

18:1 is the ratio between the speed of the man and train.