Question

The ratio between the speeds of M and N are 7 : 9, to travel a certain distance. If M takes 30 more minutes to travel a distance than N, find the time taken by M to travel that distance.
1. 2 hr. 45 minutes
2. 2 hour
3. 2 hr 15 min.
4. 1 hr 25 min.

Answer 1

Correct Answer - Option 3 : 2 hr 15 min.

Given:

Ratio of speeds of M and N for traveling a distance in a certain time = 7 : 9

Time taken to travel a certain distance is inversely proportional to speed.

Ratio of speed of M and N is = 7x, 9x

So time taken by M and N is = 9x, 7x

Calculation

Difference between times of M and N is = 9x - 7x = 2x

Time taken by M to travel a certain distance = (30/2x) ×  9x = 135 minutes