Question : In a 1 km linear race, P beats Q by 120 metres or 30 sec. What is the time taken by P to cover the race?
Option 1: 220 sec
Option 2: 250 sec
Option 3: 235 sec
Option 4: 240 sec
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Correct Answer: 220 sec
Solution :
P beats Q by 120 metres or 30 sec, which means Q covers 120 m in 30 sec.
Speed of Q = $\frac{120}{30}=4$ m/s
Time taken to cover 1000 m = $\frac{1000}{4} = 250$ sec
P beats Q by 30 seconds, which means P reached 30 seconds early.
Time taken by P to complete the race = 250 – 30 = 220 sec.
Hence, the correct answer is 220 sec.
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