Time and Work Practice Test 5 with solutions

Question : 25 of 30

Marks: +1, -0

Nupur can do

1/7

th of a work in 2 days. She finished the remaining work with the help of her mother in 6 days. Working alone, how long will her mother take to do the same work?

$13 1/3$ days
$11 1/{11}$ days
$10 2/3$ days
14 days
12 days

Validate

Solution:

Total days taken by Nupur to do the work = 2 × 7 = 14 days
Work done by Nupur in one day =

1/{14}

Let work done by Nupur’s mother in one day =

1/x

Number of days taken by both to do the work in
=

6 × 7/6

= 7 days
So, work done by both in one day =

1/7

So,

1/x + 1/{14}

1/7

1/x

1/7 - 1/{14}

1/x

{2-1}/{14}

1/{14}

So, mother alone can finish the work in 14 days.

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