Question 27

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

Solution

if total work = x units

A can do 75% of a job in 9 days

A can do 100% of work in $$9\times \frac{100}{75}=$$ 12days

B can do half of the job in 8 days

B can do 100% of work in 16days

total work = L.C.M of 12 and 16 = 48

A's efficiency = 48/12 = 4

B's efficiency = 48/16 = 3

both can complete the half work in $$\frac{1}{2} \times \frac{48}{4+3}=\frac{24}{7}days$$

so the answer is option B.

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