Question : In a 1 km race P completes the race in 120 seconds and Q in 125 seconds. The distance by which P beats Q is:
Option 1: 40 metres
Option 2: 80 metres
Option 3: 20 metres
Option 4: 60 metres
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Correct Answer: 40 metres
Solution :
Speed of P = $\frac{1 \;km}{120\;sec}$
= $\frac{1000}{120}$ m/s
= 8.33 m/s
Speed of Q = $\frac{1 \;km}{125 \;sec}$
= $\frac{1000}{125}$ m/s
= 8 m/s
Distance covered by Q in 120 seconds = 8 × 120 = 960
P beat Q by (1000 – 960) = 40 metres
Hence, the correct answer is 40 metres.
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