Question : The average speed of a car is 1500 metres/minute. A sprinter covers 200 metres in 30 seconds. What is the difference between the speed of the car and the speed of the sprinter?
Option 1: $\frac{54}{11}$ m/s
Option 2: $\frac{55}{3}$ m/s
Option 3: $\frac{65}{3}$ m/s
Option 4: $\frac{64}{3}$ m/s
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Correct Answer: $\frac{55}{3}$ m/s
Solution : speed of a car = 1500 metres/minute = $\frac{1500}{60}$ m/s = 25 m/s Speed of sprinter = $\frac{\text{Distance}}{\text{Time}}$ = $\frac{200}{30}$ m/s = $\frac{20}{3}$ m/s Required difference = $25-\frac{20}{3}$ = $\frac{75-20}{3}$ = $\frac{55}{3}$ m/s Hence, the correct answer is $\frac{55}{3}$ m/s.
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Question : Convert 1.3 kilometres per hour into metres per second.
Option 1: $\frac{13}{36}$ m/s
Option 2: $\frac{11}{54}$ m/s
Option 3: $\frac{14}{48}$ m/s
Option 4: $\frac{13}{65}$ m/s
Question : A car moves through 20 m in 3 minutes and the next 50 km at a speed of 100 km/hr. What is the approximate average speed of the car?
Option 1: 22.38 m/s
Option 2: 20 m/s
Option 3: 25.26 m/s
Option 4: 26.28 m/s
Question : A train moves at a speed of 30 m/s and crosses a bridge of length 650 metres in 50 seconds. What is the length of the train?
Option 1: 1000 m
Option 2: 900 m
Option 3: 850 m
Option 4: 750 m
Question : An object travels 20 m in 5 seconds and then another 25 m in 10 seconds. What is the average speed?
Option 1: 4 m/s
Option 2: 2 m/s
Option 3: 3 m/s
Option 4: 5 m/s
Question : A train 200 metres long, is running at a speed of 20 metres per second. In how much time (in seconds) it will cross a bridge of length 400 metres?
Option 1: 20
Option 2: 25
Option 3: 30
Option 4: 60
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