SSC CGL 2018 PYQ — Question 86

SSC CGL Tier II Quant - 09/03/2018 • Quantitative Aptitude • Q86

A jogger covered a certain distance at some speed. Had he moved 3 km/hr faster, he would have taken 20 minutes less. If he had moved 1 km/hr slower, he would have taken 10 minutes more. What is the distance (in km) that he jogged?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 12

Understanding

Application

Had he moved 3 km/hr faster, he would have taken 20 minutes less. If he had moved 1 km/hr slower, he would have taken 10 minutes more.

Suppose the distance = D km

Speed = S km/hr

So,

D/(S + 3) = D/S – 20/60

And

D/(S – 1) = D/S + 10/60

Solving the equation:

D = 12 km