Question

Xavier can do a job in 40 days . He worked on it 5 days and then paes finished it in 21 days . In how many days xavier and paes can finish the work?

Answer 1

X can do a job in 40 days. He worked on it for 5 days and then P finished it in 21 days. In how many days can X and P finish the work?

Answer

10

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2 ANSWERS



Lakshya Jain, Programmer, Web developer, Movie buff

Answered Sep 4, 2014

Let the total amount of work was W.
Clearly, X's speed of doing work is : W/40W/40
After working for 5 days, the amount of work he did was : 5∗W/40=W/85∗W/40=W/8
Work remaining = W−W/8=7W/8W−W/8=7W/8

This remaining work was done in 21 days by P, 
thus P's speed of doing work is : (7W/8)∗1/21=W/24(7W/8)∗1/21=W/24

If they work together, total speed is : W/40+W/24=W/15W/40+W/24=W/15

Thus, if they work together, the work will be done in 15 days.