SSC CHSL 2021 PYQ — Question 67

SSC CHSL - 16 April 2021 - Shift 3 • Quantitative Aptitude • Q67

If a person travels at a speed of 48 km/h, he will reach his destination on time. He covers two-thirds of his journey in five-sixths of time. At what speed (in km/h) should he travel to cover the remaining distance to reach his destination on time?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 96

Let the total distance 3 km and the total time 6 hr

A person covers 2/3 of his journey in 5/6 of the time

Remaining speed = Remaining distance / remaining time = (3 - 2)/(6 - 5) = 1 km/h

Total speed =  total distance / total time = 3/6 = 1/2

Now,

1/2 unit = 48 km/h

Remaining speed (1 unit) = 96 km/h