A can do a certain work in the same time in which B and C together can do it. A and B together can do it in 10 days, and C alone in 15 days. B alone can do 66% of the same work in
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 40 days.
Let total work = LCM of 10 and 15 = 30 units
Efficiency ;
A + B = 3 units/day
C = 2 units/day
A = B + C
⇒ B + C + B = 3
⇒ 2B + 2 = 3
⇒ B = 0.5 units/day
B does 0.5 units/day ⇒ Time for full work = 30 ÷ 0.5 = 60 days
Time = days