A and B together can complete a piece of work in

Q: Answer-A and B together can complete a piece of work in 30 days while A alone can complete 50% of the work...

Time taken by A to complete the whole work 400.50 80 days Let total work 240 units Amount of work done by A and B together in one day 24030 8 units Amount of work done by A alone in one day 24080 3 units Amount of work done by B in one day 8 ndash 3 5 units Desired time 0.75 times 2405 36 days

30 days while A alone can complete 50% of the work in 40 days. Find the time taken by B to complete 75% of the work.

A 30 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 = 40/0.50 = 80 days

Let total work = 240 units

Amount of work done by A and B together in one day = 240/30 = 8 units

Amount of work done by A alone in one day = 240/80 = 3 units

Amount of work done by B in one day = 8 – 3 = 5 units

Desired time = 0.75 × 240/5 = 36 days

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