SSC CPO 2019 PYQ — Question 147

SSC CPO Tier I - 11th December 2019 - Shift 2 • Quantitative Aptitude • Q147

A person takes 40 minutes more than his usual time when he covers a distance of 20 km at 5 km/h. If he covers the same distance at 8 km/h, he takes x minutes less than the usual time. What is the value of x?

Show answer & explanation

Correct answer: D

Explanation

 The correct answer is option 4 i.e. 50

Understanding/Application

Given,

Distance = 20 km

Speed1 = 5 km/hr

Speed2 = 8 km/hr

When with speed1:

Time = Distance/speed1 = 20/5 = 4 hr i.e 40 min more [from question]

Actual time = 4 hours - 40 min = 3 hours 20 minutes

Now,

Time2 = Distance/Speed2 = 20/8 = 2 hours 30 min i.e x min early [from question]

Hence, x min = (3 hours 20 minutes) - (2 hours 30 min) = 50 minute

or x = 50.