JIPMAT 2022 (QA) - Two persons A and B start from the same point to travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is 60 km. Speed of A is 4 km/hr slower than B. B, when reaches Ambala, starts back via the same route without taking any rest and meets A who was still 12 km away from Ambala. Find the speed of A. | PYQs + Solutions

JIPMAT 2022

Arithmetic

Time, Speed & Distance

Easy

Two persons A and B start from the same point to travel from Chandigarh to Ambala. The distance between Chandigarh and Ambala is $60 \text{ km}$ . Speed of A is $4 \text{ km/hr}$ slower than B. B, when reaches Ambala, starts back via the same route without taking any rest and meets A who was still $12 \text{ km}$ away from Ambala. Find the speed of A.

4 km/hr

8 km/hr

12 km/hr

14 km/hr

Correct Option: 2

Let speed of A =

x

km/hr

\newline

Then speed of B =

(x+4)

km/hr

When they meet:

\newline

Distance covered by A =

48

km (as A is 12 km away from Ambala)

\newline

Distance covered by B =

60 + 60 - 48 = 72

km (B went to Ambala and came back until meeting point)

Time taken is same for both:

\newline

\frac{48}{x} = \frac{72}{x+4}

Cross multiply:

\newline

48(x+4) = 72x

\newline

48x + 192 = 72x

\newline

192 = 24x

\newline

x = 8

Therefore, speed of A =

8

km/hr