A can do a piece of work in 10 days and b can do it in 15 days in how many days will the work be completed if they work together
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A can do the work in 10 days
⇒ 1 day = 1/10 of the work
B can the work in 15 days
⇒ 1 day = 1/15 of the work
A and B working together:
1 day = 1/10 + 1/15 = 1/6 of the work
Find the number of days:
1/6 of the work = 1 day
6/6 of the work = 1 x 6 = 6 days
Answer: A and B will need 6 days if they worked together.
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Alternative way (short cut):
Number of days needed = ( 15 x 10)/ (15 + 10) = 6 days
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