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Question

A can do a piece of work in 7 days of 9 hr each, and B can do it in 6 days of 7 hour. How long will they take to do it working together 425 hr a day ?

A
3 days
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B
4 days
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C
4.5 days
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D
None
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Solution

The correct option is A 3 days
Unit of work Days Hour Total Work
2 A 7 9 63 126
3 B 6 7 42 (L.C>M of 63 and 46)
Time taken to complete the work by A and B==126(2+3)×425days.
=126×55×42days.
=3days.

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