Question

a alone can do a piece of work in 10 days and b alone can do it in 15 days. in how many days will a and b together do the same work ?

Answer 1

a do 1/10 work in 1 day
b do 1/15 work in 1 day
both do 5/30 = 1/6 work in 1 day
both do complete work in 6 days
So the answer is 6 days
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Answer 2

1/10+1/15=25/150=1/6
therefore they can finish the same work in 5 days