Time and Work Practice Test 3 with solutions

Question : 35 of 40

Marks: +1, -0

X can do a peice of work in 40 days. He works at it for 8 days and then y finished it in 16 days. How long will they together take to complete the work?

56 days
20 days
15 days
$13 1/3$ days

Validate

Solution:

X's 8 days' work =

8/{40}

1/5

Remaining part of work = 1 –

1/5

4/5

, which will be done by Y in 16 days.
Hence, Y's 1 day's work =

4/{5×16}

1/{20}

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

1/{40}+1/{20}

3/{40}

Hence, (X + Y) will complete the work in

{40}/3

13 1/3

days.

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