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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Question : In a race, there are 4 members in a team. Each member has to cover 5 km one after another. If the total time taken is 30 minutes, then what would have been the average speed?
Option 1: 50 km/hr
Option 2: 40 km/hr
Option 3: 50 m/sec
Option 4: 40 m/sec
Question : In a 1200 m race, bike A beats bike B by 100 m. Bike B beats bike C by 100 m in a 600 m race. If bike A beats bike C by 30 sec in a 720 m race, then what is the speed of bike C?
Option 1: $\frac{17}{3} \mathrm{~m} / \mathrm{sec}$
Option 2: $\frac{26}{9} \mathrm{~m} / \mathrm{sec}$
Option 3: $\frac{17}{9} \mathrm{~m} / \mathrm{sec}$
Option 4: $\frac{26}{3} \mathrm{~m} / \mathrm{sec}$
Question : In a 1500 m race, if vehicle P gives vehicle Q a start of 200 m, then vehicle P wins the race by 8 sec. Alternatively, if vehicle P gives vehicle Q a start of 400 m, the race ends in a dead heat. How long does vehicle P take to run 1500 m?
Option 1: 44 sec
Option 2: 45 sec
Option 3: 40 sec
Option 4: 60 sec
Question : In a 1500 m race, X beats Y by 100 m and X beats Z by 240 m. By what distance does Y beat Z in the same race?
Option 1: 160 m
Option 2: 140 m
Option 3: 150 m
Option 4: 200 m
Question : A boat can cover 120 km upstream and back in a total of 30 hours, and 25 km upstream and 40 km downstream in a total of 7 hours. How much distance will the boat cover in 16 hours in still water?
Option 1: 200 km
Option 2: 180 km
Option 3: 175 km
Option 4: 225 km
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