Time and Work Practice Test 2 with solutions

Question : 33 of 40

Marks: +1, -0

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

30 days
25 days
20 days
15 days

Validate

Solution:

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

1/{10} + 1/{50}

6/{50}

3/{25}

2 A's 1 day's work =

3/{25}

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

3/{50}

B's 1 day's work =

1/{10}-3/{50}

2/{50}

1/{25}

Hence, B alone could do the work in 25 days.

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