Question 55

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?

Solution

Ratio of the speed of the racers = 100 : 120 = 5 : 6

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 $$\times 10 = 60 min

Speed of racer = 100 m/min

Distance = speed $$\times time = 100 \times 60 = 6000 m $$ = 6 km

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