A can complete work in 25 days and B can complete the same work in 20 days They started the work tog...........

Quantitative Aptitude (CGL) Time and work

A can complete work in 25 days and B can complete the same work in 20 days. They started the work together but B left after 4 days and A continued to work, In how many days will the entire work completed?

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SSC CGL 18th April 2022 Shift-2

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Explanation:

Correct Option is 2: 20 days

Let us assume that the total work is 25 x 20 units i.e., 500 units
Portion of work done by A in 1 day = 20 units
Portion of work done by B in 1 day = 25 units
Total work done by A and B in 4 days = (20+25) x 4 = 180 units
Total work remaining
500-180 = 320 units
Time taken by A to complete the remaining units = 320 ÷ 20 = 16 days
Total time taken to complete the entire work = 16 + 4 = 20 days