A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respective...........

Quant (SSC) Time & distance

A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?

1200

1400

1600

1800

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Explanation:

Given the ratio of the circumference of front wheel is 40 inches and back wheel is 70 inches
Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel
If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15
Distance covered by both the wheels is the same
40*(n+3)=70n
n=20
Front wheel : Back Wheel

Circumference 40 : 70
Revolutions 35 : 20
Distance covered : 40×35 = 70×20 = 1400 inches.

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