Question

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 ?​

Answer 1

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