If m men can do a work in r days, then the number of days taken by (m + n) men to do it is :
\(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mn}}}}\)
\(\frac{{{ \text{m}} + { \text{n}}}}{{{ \text{mr}}}}\)
\(\frac{{{ \text{mr}}}}{{{ \text{m}} + { \text{n}}}}\)
\(\frac{{{ \text{r}}\left( {{ \text{m}} + { \text{n}}} \right)}}{{{ \text{mn}}}}\)
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A and B can together finish a work in 30 days. They worked together for 20 days and B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job ?
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2
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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?
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3
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An engineer undertakes a project to build a road 15 km long in 300 days and employs 45 men for the purpose. After 100 days, he finds 2.5 km of the road has been completed. Find the (approx.) number of extra men he must employ to finish the work in time.
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4
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A is thrice as good a workman as B and so takes 60 days less than B for doing a job. The time in which they can do the job together is = ?
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5
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40 men can complete a piece of work in 18 days. Eight days after they started working together, 10 more men joined them. How many days will they now take to complete the remaining work ?
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6
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A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 40 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?
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7
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Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
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8
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A can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in ?
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9
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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:
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10
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A can do three times the work done by B in one day. They together finish \(\frac{2}{5}\) of the work in 9 days. The number of days by which B can do the work alone is?
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