SOLUTION: a can do a piece of work in x days and b can do the same work in (x+16) days.if both working together can do it in 15 days .find x

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Question 887978: a can do a piece of work in x days and b can do the same work in (x+16) days.if both working together can do it in 15 days .find x
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Just rely on uniform rates concept RT=J variables for rate, time, job. Your two agents work at rates of
a, 1%2Fx
b, 1%2F%28x%2B16%29
Combined rate 1%2F15
Unit for the rate being "Pieces of work per day".

The rates for both a and b working together are just combined with addition.
highlight%281%2Fx%2B1%2F%28x%2B16%29=1%2F15%29
so solve for x using this equation.