Question : In an 1170 m race, Raman reaches the final point in 65 seconds and Mohan reaches the final point in 90 seconds. By how much distance does Raman beat Mohan?
Option 1: 325 m
Option 2: 300 m
Option 3: 375 m
Option 4: 350 m
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Correct Answer: 325 m
Solution : Time taken by Raman to complete 1170 m = 65 seconds Time taken by Mohan to complete 1170 m = 90 seconds Distance by which Raman beats Mohan = $\frac{\text{Distance}\times \text{Time difference}}{\text{Time taken by Mohan}}$ = $\frac{1170\times (90-65)}{90}$ = $325$ m Hence, the correct answer is $325$ m.
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Question : In a 1500 m race, Anil beats Bakul by 150 m, and in the same race, Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
Option 1: 217.50 m
Option 2: 200.15 m
Option 3: 293.50 m
Option 4: 313.75 m
Question : In a linear race of 500 m, A can beat B by 50 m, and in a race of 600 m, B can beat C by 60 m. By how many metres will A beat C in a race of 400 m?
Option 1: 70
Option 2: 68
Option 3: 76
Option 4: 72
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 : In a circular race of 1600 m, A and B start from the same point and at the same time at speeds of 27 km/hr and 45 km/hr, respectively. After how long will they meet again for the first time on the racetrack, when they are running in the same direction?
Option 1: 90 seconds
Option 2: 320 seconds
Option 3: 240 seconds
Option 4: 180 seconds
Question : Two tourist buses start from the same point and move along two roads at right angles at speeds of 48 km/hr and 36 km/hr, respectively. The distance between the buses after 15 seconds is ________.
Option 1: 175 m
Option 2: 350 m
Option 3: 250 m
Option 4: 150 m
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