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
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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