A and B together can complete a piece of work in

Q: Answer-A and B together can complete a piece of work in 32 days while A alone can complete 40% of the work...

Time taken by A to complete the whole work 320.40 80 days Let total work 160 units Amount of work done by A and B together in one day 16032 5 units Amount of work done by A alone in one day 16080 2 units Amount of work done by B in one day 5 ndash 2 3 units Desired time 0.60 times 1603 32 days

32 days while A alone can complete 40% of the work in 32 days. Find the time taken by B to complete 60% of the work.

A 34 days Correct Answer Incorrect Answer

B 36 days Correct Answer Incorrect Answer

C 32 days Correct Answer Incorrect Answer

D 35 days Correct Answer Incorrect Answer

E 30 days Correct Answer Incorrect Answer

Solution

Time taken by A to complete the whole work = 32/0.40 = 80 days

Let total work = 160 units

Amount of work done by A and B together in one day = 160/32 = 5 units

Amount of work done by A alone in one day = 160/80 = 2 units

Amount of work done by B in one day = 5 – 2 = 3 units

Desired time = 0.60 × 160/3 = 32 days

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