Time and Work Practice Test 5 with solutions

Question : 13 of 30

Marks: +1, -0

X and Y can do a work in 12 days, Y and Z in 15 days and Z and X can do the same work in 20 days. How long will they take to complete the work if all the three working together?

10 days
9 days
8 days
$7 1/2$ days

Validate

Solution:

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

1/{12}+1/{15}+1/{20}

{12}/{60}

1/5

Hence, (X + Y + Z)'s 1 day's work =

1/{10}

Hence, they all together will complete the work in 10 days.

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