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Question

A can go round a circular path 8 times is 40 minutes . If the diameter of the circle is increased o 10 times the  original  diameter , then the time required by  A to go round the new path once , travelling at the same speed as before is  :


Options:
A .  20 min
B .  25 min
C .  50 min
D .  100 min
Answer: Option C

Let original diameter be d meters. Then , its circumference = `(pi d)` metres.

Time taken to cover (8pi d) m = 40 min.

New diameter = (10d) m,  Then , its circumference = `(pi xx 10d)m`

`:.`      Time taken to go round it once = `((40)/(8pid) xx 10 pi d)` m = 50 min.



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