Time and Work Practice Test 2 with solutions

Question : 29 of 40

Marks: +1, -0

If 1 man or 2 women or 3 children can do a certain work in 24 days, then how long will a team of one man, 1 woman and 1 child take to do the same work?

$13 1/{11}$ days
$14 1/{7}$ days
15 days
$17 3/{14}$ days
$14 3/{17}$ days

Validate

Solution:

Work done by 1 man in one day =

1/{24}

Work done by 1 woman in one day =

1/{48}

Work done by 1 child in one day =

1/{72}

Work done by altogether in one day
=

1/{24}+1/{48} + 1/{72}

{6+3+2}/{144}

{11}/{144}

So, time taken =

{144}/{11}

13 1/{11}

days

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