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 'A'can do a piece of work in 10 days and'B'can do the same work in 15 days. How long will it take ifboth work together ?

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 'A'can do a piece of work in 10 days and'B'can do the same work in 15 days. How long will it take ifboth work together ?

A). 6 days

B). 7 days

C). 8 days

D). 9 days


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Answered by on | Votes 0 |

6 days



A can do 1/10 work in 1 day.
B can do 1/15 work in 1 day. 
Therefore, A + B can do (1/10 + 1/15 =) 1/6 work in 1 day
Therefore, A + B can do the work in 1/(1/6) = 6 days.

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