A can build up a wall in 8 days while B can break it in 3 da...

A can build up a wall in 8 days while B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the wall ?

Course Name: Quantitative Aptitude

1]
${ \text{6}}\frac{1}{3}{ \text{ days}}$
2]
7 days
3]
${ \text{7}}\frac{1}{3}{ \text{ days}}$
4]
${ \text{13}}\frac{1}{3}{ \text{ days}}$

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1 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
10 Discuss	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 ? 1] 4 hours 2] 5 hours 3] 6 hours 4] 7 hours Solution
2 Discuss	Shashi can do piece of work in 20 days. Tanya is 25% more efficient than Sashi. The number of days taken by Tanya to do the same piece of work is = ? 1] 15 2] 25 3] 18 4] 16 Solution
3 Discuss	Two men undertake to do a piece of work for Rs. 1400. The first man alone can do this work in 7 days while the second man alone can do this work in 8 days. If they working together complete this work in 3 days with the help of a boy, how should the money be divided ? 1] Rs. 600, Rs. 550, Rs. 250 2] Rs. 600, Rs. 525, Rs. 275 3] Rs. 600, Rs. 500, Rs. 300 4] Rs. 500, Rs. 525, Rs. 375 Solution
4 Discuss	A, B and C can complete a work in 10, 12 and 15 days respectively. They started the work together. But A left the work 5 days before its completion. B also left the work 2 days after A left. In how many days was the work completed ? 1] 4 2] 5 3] 7 4] 8 Solution
5 Discuss	A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? 1] 12 days 2] 15 days 3] 16 days 4] 18 days Solution
6 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
7 Discuss	If 72 men can build a wall of 280 m length in 21 days, how many men could take 18 days to build a similar type of wall of length 100 m ? 1] 30 2] 10 3] 18 4] 28 Solution
8 Discuss	Three pipes A,B and C attached to a cistern. A can fill it in 10 min, B in 15 min, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had left open, he closes it and the cistern now gets filled in 2 min. In how much time the pipe C, if opened alone, empty the full cistern? 1] 12 min 2] 16 min 3] 18 min 4] 15 min 5] None of these Solution
9 Discuss	18 men can complete a piece of work in 63 days. 9 women take 189 days to complete the same piece of work. How many days will 4 men, 9 women and 12 children together take to complete the piece of work if 7 children alone can complete the piece of work in 486 days ? 1] 54 days 2] 63 days 3] 76 days 4] 81 days 5] None of these Solution
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