x does 4 5 of a piece of work in 20 days then he calls y and they finish the remaining work in...........

Quantitative Aptitude (CDS) Time and work

x does 4/5 of a piece of work in 20 days; then he calls y and they finish the remaining work in 3 days. How long y along will take to do whole work?

150/4

150/3

45/3

74/4

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Explanation:

According to question,
Let total work be 50 units 4/5×any multiple of 5
x does 4/5th of work = 4/5×50
= 40 units in 20 days
So,
x does 2 units/day.
Work left = 50-40 = 10units
X’s 3 days work = 2 units/day × 3 days
= 6 units
Left work = 10 – 6 = 4 units
So,
Y’s work per day = 4/3
Y will do the whole work in = 50/4/3 = 150/4.