Question

The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is
1. 5
2. 6
3. 4
4. 3

Answer 1

Correct Answer - Option 1 : 5

Calculation:

Let time taken by Narayan to complete distance be a hours.

Time taken by Partha to complete distance be (a + 4) hours.

Distance between A and B = 60 km

Time taken by Partha to complete half of the distance = (a + 4)/2

⇒ a - (a + 4)/2 = 2

⇒ a = 8 hours

Time taken by Partha to complete distance = 8 + 4 = 12 hours

∴ Speed of Partha during journey = 60/12 = 5 kmph