Two workers A and B are engaged to do a work. A working alon...

Two workers A and B are engaged to do a work. A working alone takes 8 hours more to complete the job than if both worked together. If B worked alone, he would need 41/2 hours more to complete the job than they both working together. What time would they take to do the work together ?

Course Name: Quantitative Aptitude

1] 4 hours
2] 5 hours
3] 6 hours
4] 7 hours

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1 Discuss	A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in : 1] 4 days 2] 6 days 3] 8 days 4] 18 days Solution
10 Discuss	A does half as much work as B in one-sixth of the time. If together they take 10 days to complete a work. How much time shall B alone take to do it ? 1] 30 days 2] 40 days 3] 50 days 4] 70 days Solution
2 Discuss	A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time in hours that B needs to do the work alone, is ? 1] 18 hours 2] 24 hours 3] 30 hours 4] 12 hours Solution
3 Discuss	A and B together can do a piece of work in 30 days, B and C together can do it in 20 days, A starts the work and works on it for 5 days, B takes up and work for 15 days. Finally C finishes the work in 18 days. The number of days in which C alone can do the work where doing it separately is = ? 1] 120 days 2] 40 days 3] 60 days 4] 24 days Solution
4 Discuss	20 men can do a piece of work in 18 days. They worked together for 3 days, then 5 men joined. In how many days is the remaining work completed ? 1] 12 days 2] 14 days 3] 13 days 4] 15 days Solution
5 Discuss	A and B completed a work together in 5 days. had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take for A alone to do the work? 1] 10 days 2] 20 days 3] 25 days 4] 15 days 5] 24 days Solution
6 Discuss	A and B can do a job in 7 days. A is ${ \text{1}}\frac{3}{4}$ times as efficient as B. The same job can be done by A alone in? 1] $9\frac{1}{3}{ \text{days}}$ 2] 11 days 3] $12\frac{1}{4}{ \text{days}}$ 4] $16\frac{1}{3}{ \text{days}}$ Solution
7 Discuss	If 4 men or 6 women can do a piece of work in 12 days working 7 hours a day, how many days will it take to complete a work twice as large with 10 men and 3 women working together 8 hours a day ? 1] 6 days 2] 7 days 3] 8 days 4] 10 days Solution
8 Discuss	A can do a piece of work in 4 hours, B and C together in 3 hours, and A and C together in 2 hours. How long will B alone take to do it ? 1] 8 hours 2] 10 hours 3] 12 hours 4] 24 hours Solution
9 Discuss	12 monkeys can eat 12 bananas in 12 minutes. In how many minutes can 4 monkeys eat 4 bananas ? 1] 4 minutes 2] 10 minutes 3] 12 minutes 4] 8 minutes Solution
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