Working 5 hours a day, A can Complete a work in 8 days and w...

Working 5 hours a day, A can Complete a work in 8 days and working 6 hours a day, B can complete the same work in 10 days. Working 8 hours a day, they can jointly complete the work in:

Course Name: Quantitative Aptitude

1] 3 days
2] 4 days
3] 4.5 days
4] 5.4 days

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1 Discuss	A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work. A leaves off. The total number of days to complete the work is ? 1] ${ \text{6}}\frac{3}{5}$ 2] ${ \text{8}}\frac{1}{2}$ 3] ${ \text{10}}\frac{1}{5}$ 4] ${ \text{13}}\frac{1}{2}$ Solution
10 Discuss	If 3 men or 4 women can plough a field in 43 days, how long will 7 men and 5 women take to plough it? 1] 10 days 2] 11 days 3] 9 days 4] 12 days Solution
2 Discuss	A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. The original number of workers was ? 1] 100 2] 110 3] 55 4] 50 Solution
3 Discuss	A man and a boy received Rs. 800 as wages for 5 days for the work they did together. The man's efficiency in the work was thrice times that of the boy. What are the daily wages of the boy? 1] Rs. 76 2] Rs. 56 3] Rs. 44 4] Rs. 40 Solution
4 Discuss	A man can do a piece of work in 30 hours. If he works with his son then the same piece of work is finished in 20 hours. If the son works alone then he do the work in ? 1] 60 hours 2] 50 hours 3] 25 hours 4] 10 hours 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	There is provision of food in fort for 1200 soldiers for 60 days. After 15 days, 200 soldiers leave the fort. Remaining food will last for how many days? 1] 56 days 2] 50 days 3] 54 days 4] 48 days Solution
7 Discuss	Two men and women are entrusted with a task. The second man needs three hours more to cope up with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as second man and the woman working together. The first man working alone, would spend eight hours less than the double period of the time second man would spend working alone. How much time would the two men and the women need to complete the task if they all asked together? 1] 1 hour 2] 2 hours 3] 3 hours 4] 4 hours 5] 5 hours Solution
8 Discuss	A can complete a piece of work in 36 days, B in 54 days and C in 72 days. All the three began the work the work together but A left 8 days before the completion of the work and B 12 days before the completion of work. Only C worked up to the end. In how many days was the work completed? 1] 24 days 2] 25 days 3] 27 days 4] 30 days Solution
9 Discuss	A man, a woman and a boy can do a piece of work in 6, 9 and 18 days respectively. How many boys must assist one man and one woman to do the work in 1 day ? 1] 5 2] 6 3] 9 4] 13 Solution
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