SSC CPO 2019 PYQ — Question 141

SSC CPO Tier I - 11th December 2019 - Shift 1 • Quantitative Aptitude • Q141

A and B started travelling towards each other at the same time, from place X to Y and Y to X, respectively. After crossing each other. A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively. If the speed of B was 8.4 km/h, then what was the speed (in km/h) of A?

Show answer & explanation

Correct answer: A

Explanation

Correct Answer is option 1 i.e. 10.8

Understanding

Application

After crossing each other. A and B took 2.45 hours and 4.05 hours to reach Y and X, respectively.

So,

Speed of A/Speed of B = √(4.05/2.45)

 

Given:

Speed of B was 8.4 km/h

Suppose speed of A = x km/hr

So,

[x/8.4] = √(4.05/2.45)

[x/8.4] = √(81/49)

[x/8.4] = 9/7

x = 10.8

Hence,

Speed of A = 10.8 km/hr