# Quantitative Aptitude – Arithmetic – Time Speed and Distance – The distance from A to B is 60 km

## Slot -1 – Quantitative Aptitude – Arithmetic – Time Speed and Distance – The distance from A to B is 60 km

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?

a) 5

b) 3

c) 4

d) 6

Solution: let time taken by Narayan to reach B = t hour

So time taken by Partha to reach B = (t+4) hours

Time taken by Partha to reach mid point of A and B = (t+ 4)/2

Given t – (t+ 4)/2 = 2

2t – t – 4 = 4

t = 8 hours

Speed of Partha = 60/(t+4) = 60/12 = 5 km/hour

Correct option a) 5

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