Question : A and B can do a piece of work in 36 days. B and C can do the same work in 60 days. A and C can do the same work in 45 days. In how many days can A alone complete the same work?
Option 1: 90
Option 2: 60
Option 3: 120
Option 4: 45
Correct Answer: 90
Solution : According to the question, Let the total Work = LCM of 36, 60 and 45 = 180 The efficiency of (A + B) = $\frac{180}{36}$ = 5 units/day The efficiency of (B + C) = $\frac{180}{60}$ = 3 units/day The efficiency of (C + A) = $\frac{180}{45}$ = 4 units/day Now, ⇒ 2 × efficiency of ( A + B + C ) = 5 + 3 + 4 ⇒ The efficiency of ( A + B + C ) = $\frac{12}{2}$ So, efficiency of B = 6 – 4 = 2 units/day ⇒ The time taken by B = $\frac{180}{2}$ = 90 days Hence, the correct answer is 90.
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Question : A and B can do a piece of work in 36 days. B and C can do the same work in 60 days. A and C can do the same work in 45 days. In how many days can B alone complete the same work?
Option 1: 45
Option 3: 90
Option 4: 120
Question : A, B and C together can complete a work in 20 days. A and B together can complete the same work in 30 days. Then, C alone can complete the same work in how many days?
Option 1: 10 days
Option 2: 30 days
Option 3: 45 days
Option 4: 60 days
Question : A can do a certain piece of work in 2.4 times the number of days in which B and C together can do it. If A and B together can do the same piece of work in 27 days and C alone can do it in 75 days, then how many days will B take to do this piece of work alone?
Option 1: 54
Option 2: 48
Option 3: 45
Option 4: 42
Question : A and B together can complete a project in 30 days. They started together, but after 6 days, A left the work and the work was completed by B after 36 more days. Single person A can complete the entire work in how many days?
Option 1: 45 days
Option 2: 90 days
Option 3: 60 days
Option 4: 120 days
Question : A alone can complete a work in 10 days. B alone can do the same work in 12 days, and C alone can do the same work in 15 days. They jointly complete the work and earn Rs. 4500. What is the share of C?
Option 1: Rs. 1800
Option 2: Rs. 900
Option 3: Rs. 1200
Option 4: Rs. 1500
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