Question : Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race?
Option 1: 220
Option 2: 215
Option 3: 210
Option 4: 225
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Correct Answer: 225
Solution : Given: Speed of Sohan = 36 km/h Speed of Amit = 54 km/h Length of circular track = 1125 m Relative speed of Sohan and Amit (same direction) = 54 – 36 = 18 km/h 18 km/h = 18 × $\frac{5}{18}$ = 5 m/s Time taken by them to meet for the first time = $\frac{\text{length of the track}}{\text{relative speed}}$ = $\frac{1125}{5}$ = 225 sec. Hence, the correct answer is 225.
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Question : In a circular race of 4225 m, X and Y start from the same point and at the same time, at speeds of 54 km/hr and 63 km/hr, respectively. When will they meet again for the first time on the track, when they are running in opposite directions?
Option 1: 140 seconds
Option 2: 150 seconds
Option 3: 130 seconds
Option 4: 120 seconds
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 : Racer A and Racer B run a race of 18 km on a circular track of length 800 m. Both complete one round in 200 seconds and 250 seconds, respectively. After how much time from the start will the faster person meet the slower person for the last time?
Option 1: 2700 seconds
Option 2: 4000 seconds
Option 3: 2250 seconds
Option 4: 1800 seconds
Question : Two runners, Sony and Mony, start running on a circular track of length 200 m at speeds of 18 km/h and 24 km/h, respectively, in the same direction. After how much time from the start will they meet again at the starting point?
Option 1: 120 sec
Option 2: 110 sec
Option 3: 100 sec
Option 4: 90 sec
Question : Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After simultaneously starting the race from the same point, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is the same as the length of the track)
Option 1: 7.5 minutes
Option 2: 16 minutes
Option 3: 30 minutes
Option 4: 22.5 minutes
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