Time and Work Practice Test 5 with solutions

Question : 14 of 30

Marks: +1, -0

A and B together can do a work in 18 days, while B and C together can do it in 12 days. If all the three together can do it in 8 days, then find the time taken by A and C together to complete the same work.

$11 1/{11}$ days
$7 5/{72}$ days
$8 1/4$ days
9 days
None of these

Validate

Solution:

Work done by A, B and C in one day =

1/8

Work done by A in one day =

1/8 - 1/{12}

1/{24}

Work done by C in one day =

1/8 - 1/{18}

5/{72}

Work done by A and C in one day =

1/{24}+5/{72}

1/9

So, time taken by A and C together = 9 days

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