Time and Work Practice Test 1 with solutions

Question : 27 of 40

Marks: +1, -0

X and Y can do a work in 12 days and 16 days respectively. Both worked for 3 days and then X left the work. In how many days Y alone can complete the remaining work?

15 days
12 days
10 days
9 days

Validate

Solution:

(X + Y)'s 3 days' work =

3(1/{12}+1/{16})

= 3 ×

7/{48}

7/{16}

Remaining work = 1

- 7/{16}

9/{16}

, which will be done by Y alone.
Hence, number of days =

{9/{16}}/{1/{16}}

= 9 days.
Therefore, remaining work will be completed by Y alone in 9 days.

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