Time and Work Practice Test 3 with solutions

Question : 39 of 40

Marks: +1, -0

Bhawna can complete a work in

12 1/2

days. She started working and left after 5 days. Then Neeharika joined, she can complete the same work in 15 days but she also left after 5 days. Later, Meenu finished the remaining work in 3 days. Find the time taken by all the three of them together if do the same work.

$3 {12}/{275}$ days
3 days
$4 {13}/{53}$ days
5 days
Cannot be determined

Validate

Solution:

Work done by Bhawna in one day =

2/{25}

Work done by Bhawna in 5 days = 5 ×

2/{25}

2/5

Work left = 1 -

2/5

3/5

Work done by Neeharika in one day =

1/{15}

Work done by Neeharika in 5 days = 5 ×

1/{15}

1/3

Work left =

3/5 - 1/3

4/{15}

Number of days taken by Meenu to complete

4/{15}

th part of the work 3 days
Number of days taken by Meenu to complete the work done =

3 × {15}/4

{45}/4

days
Work done by all together in one day
=

2/{25}+1/{15}+4/{45}

{53}/{225}

Time taken by all of them =

{225}/{53}

4 {13}/{53}

days

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