SSC CGL 2020 PYQ — Question 58

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q58

Two racers run at a speed of 100 m/min and 120 m/min, respectively. If the second racer takes 10 minutes less than the first to complete the run, then how long is the race?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e 6 km.

Understanding/Application

The ratio of speeds of the racer = 100: 120 = 5: 6

The ratio of the time of the racers = 6: 5

Let the time be 6x and 5x.

Difference in time = 6x - 5x = x

x = 10 min

6x = 6(10) = 60 min

Speed of the racer = 100 m/min

Distance = speed × time = 100 × 60 = 6000 m = 6km