A can complete 25% of a work in 15 days. He works for 15 days and then B alone finishes the remaining work in 30 days. In how many days will A and B working together finish 50% of the same work?
A. 24
B. 20
C. 12
D. 25
Answer: Option C
Solution(By Examveda Team)
$$\frac{{250}}{{100}}A \to 15{\text{ days}}$$A → 60 days. (Whole work)
Let A do 60 work in 60 days.
A do 15 day work, remaining work completed by A in 45 days. But B do in 30 days.
∴ 45A = 30B
$$\frac{{\text{A}}}{{\text{B}}} = \frac{2}{3}\,\,\,\left( {{\text{efficiency}}} \right)$$
A + B = 5
Total work = A × 60 = 2 × 60 = 120
50% of 120 = 60
A + B = $$\frac{{60}}{5}$$ = 12
Related Questions on Time and Work
A. 18 days
B. 24 days
C. 30 days
D. 40 days
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