Time and Work Practice Test 1 with solutions

Question : 6 of 40

Marks: +1, -0

Eighteen equally efficient workers can do a work in 12 days. They started working together and after 4 days, 6 more equally efficient workers joined them. Then the remaining work will be completed in:

5 days
6 days
$5 1/2$ days
$6 1/3$ days
None of these

Validate

Solution:

Work done by 18 workers in 4 days =

4 × 1/{12}

1/3

Work left = 1 -

1/3

2/3

Number of days taken by 18 workers to do work = 12 days
Number of days taken by 24 workers to do work
=

{12×18}/{24}

= 9 days
So, 24 workers completed the work in 9 days.
Then

2/3

rd of the worked will be done = 9 ×

2/3

= 6 days.

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