Question 51

The average speed of a car is 600 metres/minute. How much slower(in metres/second) does the car run than a sprinter who covers 100 metres in 9.6 seconds?

Solution

The average speed of a car is 600 meters/minute.

It means that a car can cover 600 meters in 60 seconds.

Then in the one-second car can cover 10 meters. So the speed of a car = 10 meters/second.    Eq.(i)

A sprinter who covers 100 meters in 9.6 seconds.

Speed of sprinter = $$\frac{100}{9.6}$$    Eq.(ii)

Difference between speeds = Eq.(ii) - Eq.(i)

= $$\frac{100}{9.6} - 10$$

= $$\frac{100-96}{9.6}$$

= $$\frac{4}{9.6}$$

= $$\frac{40}{96}$$

= $$\frac{5}{12}$$

So the car runs $$\frac{5}{12}$$ meters/second slower than the sprinter.


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