A can do a work in 15 days and B in 20 days. If they work on it together for 4 d

Question

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

Options:

A . \(\frac{1}{4}\)

B . \(\frac{1}{10}\)

C . \(\frac{7}{1.5}\)

D . \(\frac{8}{15}\)

Answer: Option D

A's 1 day's work = \(\frac{1}{15};\)

B's 1 day's work = \(\frac{1}{20};\)

(A + B)'s 1 day's work = \(\left(\frac{1}{15}+\frac{1}{20}\right)= \frac{7}{60}.\)

(A + B)'s 4 day's work = \(\left(\frac{7}{60}\times4\right)= \frac{7}{15}.\)

Therefore, Remaining work = \(\left(1-\frac{7}{60}\right)= \frac{8}{15}.\)

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