Time and Work Practice Test 3 with solutions

Question : 2 of 40

Marks: +1, -0

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in

Solution:

(A + 2B + C)'s 1 day's work =

1/8 + 1/{12}

5/{24}

(A + B + C)'s 1 day's work =

1/6

Hence, B's 1 day's work =

5/{24}-1/6

1/{24}

;
Now, (A + C)'s 1 day's work =

1/6 - 1/{24}

3/{24}

1/8

Therefore, (A + C) together will do the work in 8 days

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