cat 2019 Question 6

Question

The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, was

Accepted Answer

Distance covered by A in 1 revolution = 2$\pi *30 = 60\pi$

Distance covered by B in 1 revolution = 2$\pi*40 = 80\pi$

Now, (5000+n)60$\pi$ = 80$\pi$n

=> 15000= 4n-3n =>n=15000

Then distance travelled by B = 15000*80$\pi$ cm = 12$\pi$ km

Hence, the speed = $\frac{12\pi imes 60}{45}$ = 16$\pi$

Question 6.

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Question 6.

Question Explanation

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