Time and Work Practice Test 4 with solutions

Question : 28 of 40

Marks: +1, -0

Harish can do

6/{11}

th part of a work in 18 days. He completed the remaining work in 6 days with the help of Vishal. Find the time taken by Vishal alone to finish the work.

33 days
22 days
25 days
20 days
Cannot be determined

Validate

Solution:

6/{11}

th part of the work is done by Harish in working 18 days. Number of the days to Harish complete the work.
=

18 × {11}/6

= 33 days
Work done by Harish in one day =

1/{33}

Let Vishal takes “x” days to finish the work.
So, work done by Vishal in one day = $$1/x
Work done by Harish and Vishal in one day =

1/{33}+1/x

Work done by Harish and Vishal in 6 days =

6(1/{33}+1/x)

According to the question,

6(1/{33}+1/x)

5/{11}

1/{33}+1/x

5/{66}

1/x

5/{66}-1/{33}

1/x

{5-2}/{66}

1/{22}

So, Vishal alone can finish the work in 22 days.

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