X can do a piece of work in 40 days. He works at it for 8 days and then Y finished
it in 16 days. How long will they together take to complete the work ?
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Answer:
13 1/3 days
Step-by-step explanation:
X can do a piece of work in 40 days. He works at it for 8 days
X=1/40 days
it works for only 8 days
X=8/40
X=1/5 work
remaining work is 1-1/5=4/5
4/5 work is completed by Y in 16 days
let the individual work of Y=p
Y can do a work in 1/p days
4/5 work done by Y in 16/p days
4/5=16/p
p=20 days
X=1/40
Y=1/20
How long will they together take to complete the work ?
X+Y=1/40+1/20
X+Y=3/40
X+Y=13 1/3 days
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