Time and Work Practice Test 3 with solutions

Question : 38 of 40

Marks: +1, -0

Working together, A and B can do a work in
12 days. B and C can do in 10 days and C and
A can do in 15 days. How long will A alone
take to complete the job:

20 days
$16 2/3$ days
40 days
36 $1/2$ days
None of these

Validate

Solution:

Work done by A and B in one day =

1/{12}

Work done by B and C in one day =

1/{10}

Work done by C and A in one day =

1/{15}

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

1/{12}

(1/{12}+1/{10}+1/{15})

1/8

Work done by A alone in one day =

1/8 - 1/{10}

1/{40}

So, days taken by A alone in 40 days

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