X alone can complete a piece of work in 40 days. He worked f...

X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone completed the remaining work in 16 days. How long would X and Y together take to complete the work ?

Course Name: Quantitative Aptitude

1]
$13\frac{1}{3}{ \text{days}}$
2]
14 days
3]
15 days
4]
$16\frac{2}{3}{ \text{days}}$

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1 Discuss	Working together, Asha and Sudha can complete an assigned task in 20 days. However, if Asha worked alone and completed half the work and then Sudha takes over the task and completes the second half of the task, the task will be completed in 45 days. How long will Asha take to complete the if she worked alone ? Assume that Sudha is more efficient than Asha. 1] 25 days 2] 30 days 3] 60 days 4] 65 days Solution
10 Discuss	A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in ? 1] ${ \text{14}}\frac{1}{3}{ \text{ days}}$ 2] ${ \text{15}}\frac{2}{3}{ \text{ days}}$ 3] ${ \text{16}}\frac{1}{3}{ \text{ days}}$ 4] ${ \text{18}}\frac{2}{3}{ \text{ days}}$ Solution
2 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
3 Discuss	A job can be done by 3 skilled workmen in 20 days or by 5 boys in 30 days. How many days will they take if they work together ? 1] 8 days 2] 10 days 3] 11 days 4] 12 days Solution
4 Discuss	A and B working separately can do a piece of work in 9 and 15 days respectively. If they work for a day alternately, with A beginning, then the work will be completed in: 1] 9 days 2] 10 days 3] 11 days 4] 12 days Solution
5 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
6 Discuss	A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in: 1] 5 days 2] 6 days 3] 10 days 4] 10* 1/2 days Solution
7 Discuss	A can do a piece of work in 90 days, B in 40 days and C in 12 days. They work for a day each in turn i.e., first day A does it alone, B does it the second day and C the third day. After that A does it for another day, and so on. After finishing the work they get Rs. 240. If the wages are divided in proportion to the work done by them, find what each will get ? 1] A Rs. 24, B Rs. 54, C Rs. 162 2] A Rs. 22, B Rs.50, C Rs. 132 3] A Rs. 26, B Rs. 52, C Rs. 142 4] A Rs. 20, B Rs. 44, C Rs. 182 Solution
8 Discuss	A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40, 000 litres of petrol is used daily, the supply fails in 90 days. If 32, 000 litres of petrol used daily, it fails in 60 days. How much petrol can be used daily without the supply ever failing? 1] 64000 litres 2] 56000 litres 3] 60000 litres 4] 78000 litres 5] None of these Solution
9 Discuss	A group of men decided to do a job in 4 days. But since 20 men dropped out every day, the job completed at the end of the 7th day. How many men were there at the beginning? 1] 240 2] 140 3] 280 4] 150 5] None of these Solution
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