General Aptitude › Time and Work › Question #4647
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QIf A can complete a piece of work in 80 days, he works on it for 10 days, and B alone finishes the remaining work in 42 days, how long will it take for A and B working together to finish the work?

ID: #4647 Time and Work 170 views
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#4647Q ID
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Time and WorkTopic
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  • A 54 ✔ ✖
  • B 30 ✔ ✖
  • C 43 ✔ ✖
  • D 65 ✔ ✖
Correct Answer

Explanation

A can complete the work in 80 days,

so the amount of work he completes in 1 day is (1/80) of the total work.

A works on the job for 10 days, 

so he completes a total of (1/80) * 10 = 1/8 of the total work.

The remaining work is 1 - 1/8 = 7/8 of the total work.

B alone finishes the remaining work in 42 days, so the amount of work he completes in 1 day is 

(7/8) / 42 = 1/48 of the total work.

When A and B work together, their combined 1 day's work is 

(1/80) + (1/48) = 8/240 = 1/30 of the total work.

Since they complete (1/30) of the total work in 1 day, 

it will take them 30 days to complete the entire work.
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