A can do a work in 10 days and B in 20 days. If they together work on it for 5 days, then the fraction of the work that is left is :

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

B) \( \Large \frac{3}{4} \)

C) \( \Large \frac{3}{20} \)

D) \( \Large \frac{4}{3} \)

Correct answer:
A) \( \Large \frac{1}{4} \)

Description for Correct answer:

Work done by A and B for 5 days =

= \( \Large 5 \left(\frac{1}{10}+\frac{1}{20}\right) \)

= \( \Large 5 \left(\frac{3}{20}\right) = \frac{3}{4} \)

Therefore, left work = \( \Large 1 - \frac{3}{4} = \frac{1}{4}\)



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