A can do a piece of wrk in 120 day and B can do it in 150 days They work tgether for 20 day Then B l...........

Quantitative Aptitude (CGL) Time and work

A can do a piece of wrk in 120 day and B can do it in 150 days. They work tgether for 20 day. Then B leaves and A alone cntinues the work. After 12 days C joins A and the work is cmpleted in 48 day more. In how many days can C do it if he works alne?

130 days

150 days

240 days

260 days

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Explanation:

In one day, work done by A = 1/120
In one day, work done by B = 1/150
So, work A and B together can complete in a day= 1/120+1/150=3/200
In 20 days = 3/200∗20=3/10
Work done by A in 12 Days = 12∗1/120=1/10
Let us assume C alone can finish the work in x days
In one day, work done by C = 1/x
Now,
48∗(1/120+1/x)+3/10+1/10=1
x=240
So, C alone could finish the job in 240 days.