Time and Work Practice Test 1 with solutions

Question : 22 of 40

Marks: +1, -0

X and Y do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

20 days
15 days
10 days
6 days

Validate

Solution:

X's 4 days' work =

4/{20}

1/5

Remaining part of work = 1 –

1/5

4/5

(X + Y)'s 1 day's work =

1/{20}+1/{12}

8/{60}

2/{15}

Hence, time taken to complete the remaining work =

{4/5}/{2/{15}}

4/5 × {15}/2

= 6 days
Therefore, total time taken = 4 + 6 = 10 days.

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