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Arithmetic Ability
Time and Work

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Q.

A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in ?

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Correct choice: B

Explanation:

C alone can finish the work in 40 days. As given C does half as much work as A and B together => (A + B) can do it in 20 days (A + B)s 1 days wok = 1/20. A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given) A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2] B's 1 days work = (1/20) x (2/3) = 1/30 (A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.
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