Question:A toothed wheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions ?
A 18
B 20
C 25
D 30
/98
+ Answer
C
+ ExplanationDistance moved by toothed wheel in 15 revolutions
`= (15 xx 2 xx 22/7 xx 25) cm.`
Distance moved by smaller wheel in 1 revolultion
`= (2 xx 22/7 xx 15) cm.`
:. Required number of revolutions
`= (15 xx 44/7 xx 25 xx 7)/(44 xx 15)`
`= 25`