A can do a piece of work in 14 days which B can do in 21 day...

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 ?

Course Name: Quantitative Aptitude

1]
${ \text{6}}\frac{3}{5}$
2]
${ \text{8}}\frac{1}{2}$
3]
${ \text{10}}\frac{1}{5}$
4]
${ \text{13}}\frac{1}{2}$

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1 Discuss	If 28 men complete $\frac{7}{8}$ of a piece of work in a week, then the number of men, who must be engaged to get the remaining work completed in another week, is = ? 1] 5 2] 6 3] 4 4] 3 Solution
10 Discuss	P is thrice as good a workman as Q and therefore able to finish a job in 48 days less than Q. Working together, they can do it in ? 1] 18 days 2] 24 days 3] 30 days 4] 12 days Solution
2 Discuss	If 20 women can lay a road of length 100m in 10 days. 10 women can lay the same road of length 50m in = ? 1] 5 days 2] 15 days 3] 10 days 4] 20 days Solution
3 Discuss	If 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days, then 10 women complete it in ? 1] 35 days 2] 50 days 3] 45 days 4] 40 days Solution
4 Discuss	X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in ? 1] 27 days 2] 36 days 3] 42 days 4] 18 days Solution
5 Discuss	16 men can finish a work in 24 days and 48 boys can finish the same work in 16 days. 12 men started the work and after 4 days 12 boys joined them. In how many days can they finish the remaining work ? 1] 6 2] 12 3] 16 4] None of these Solution
6 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
7 Discuss	Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. Another pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. The tank filled up in: 1] 39 min. 2] 46 min 3] 40 min. 4] 45 min. Solution
8 Discuss	A and B can compete a piece of work in 18 days. They worked together for 12 days and then A left. B alone finished the work in 15 days. If Rs. 1500 be paid for the work then A's share is: 1] Rs. 750 2] Rs. 800 3] Rs. 600 4] Rs. 900 Solution
9 Discuss	A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in 1] 5 days 2] 6 days 3] 9 days 4] 10 days Solution
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