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A, B and C can do a piece of work in 20,...

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

A

20 दिन

B

10 दिन

C

12 दिन

D

15 दिन

Text Solution

Verified by Experts

The correct Answer is:
D
`A_e = 1/20 , B_e = 1/30 , C_e = 1/60`
`B_e + C_e = 1/30 +1/60 = 2/60 = 1/20`
3 दिन में, A , B तथा C द्वारा किया गया कार्य
`= 3Ae + Be + Ce = 1/20 xx 3 + 1/20 = 3/20 + 1/20 = 4/20 = 1/5`
`because 1/5` काम पूरा होता है 3 दिन में
`therefore` 1 काम पूरा होता है `3 xx 5 = 15 `दिन
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