Question : Bobby and Billy can complete a job in 28 days and 20 days, respectively. They work together for 5 days, after which Billy leaves the job. In how many days did Bobby alone complete the rest of the job?
Option 1: 15 days
Option 2: 20 days
Option 3: 12 days
Option 4: 16 days
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Correct Answer: 16 days
Solution : Given, Bobby and Billy can complete a job in 28 days and 20 days We know, Total work = Efficiency × time LCM of 28, 20 = 140 i.e. total work Efficiency of Bobby = 5 units/day The efficiency of Billy = 7 units/day Now, In 5 days, total work done = (5 + 7) × 5 = 12 × 5 = 60 Remaining work = 140 - 60 = 80 The remaining work will be completed by Bobby in $\frac{80}{5}$ days = 16 days Hence, the correct answer is 16 days.
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Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
Option 1: $15$ days
Option 2: $16$ days
Option 3: $14 \frac{4}{5}$ days
Option 4: $15 \frac{1}{5}$ days
Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?
Option 1: 8 days
Option 2: 16 days
Option 4: 15 days
Question : P alone can complete a work in 15 days and Q alone can complete the same work in 12 days. They start the work together but after 3 days P leaves the work. How much time will Q take to finish the remaining work?
Option 1: 7.2 days
Option 2: 7.8 days
Option 3: 8.5 days
Option 4: 6.6 days
Question : A, B, and C together can complete a work in 5 days. A and B together can complete the same work in 6 days. C alone can finish the same work in how many days?
Option 1: 60 days
Option 2: 30 days
Option 3: 15 days
Option 4: 20 days
Question : Mia and Ria can do a piece of work alone in 15 days and 10 days respectively. Mia started the work alone and then after 5 days, Ria joined her till the completion of the work. How long did the work last?
Option 1: 5 days
Option 2: 9 days
Option 4: 4 days
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