Question : It takes A and B, 3 and 6 hours, respectively, to complete a certain work. If they work on the alternate hour. How long will it take them to accomplish the task?
Option 1: 3 hours
Option 2: 4 hours
Option 3: 2 hours
Option 4: 4.5 hours
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Correct Answer: 4 hours
Solution : A takes 3 hours to finish the work B takes 6 hours A's 1-hour work = $\frac{1}{3} $ B's 1-hour work = $\frac{1}{6}$ Work completed in two hours with A and B working for one hour each alternatively = $\frac{1}3+\frac{1}6 = \frac{1}2$ So, number of 2 hours required to complete the work = $\frac{1}{\frac{1}{2}}$ = 2 Hence, the number of hours required to complete the work = 2 × 2 = 4 hours Hence, the correct answer is 4 hours.
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Question : A and B can do a certain work in 6 hours, and A, B, and C together take 4 hours to do the same. How long will it take for C alone to accomplish the task?
Option 1: 12 hours
Option 4: 6 hours
Question : Richa, Rita and Reena can independently complete a task in 8 hours, 12 hours and 24 hours, respectively. If they work together, how much time will they take to complete that task?
Option 1: 4 hours
Option 2: 5 hours
Option 4: 3 hours
Question : Working 5 hours a day, A can complete a task in 8 days, and working 6 hours a day, B can finish the same task in 10 days. Working 8 hours daily, they can jointly complete the task in _____.
Option 1: 5 days
Option 2: 3 days
Option 3: 4.5 days
Option 4: 6 days
Question : A and B can complete a task together in 18 hours. After 6 hours, A leaves. B takes 36 hours to finish the rest of the task. How many hours would it have taken A to do the task if he worked alone?
Option 1: 54
Option 2: 45
Option 3: 21
Option 4: 27
Question : P takes twice as long as Q, or three times as long as R, to complete a task. If they work together, they can complete the task in two days. How long will it take Q to complete the task on his own?
Option 1: 8 days
Option 2: 6 days
Option 3: 5 days
Option 4: 7 days
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