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13. Time and Work
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Q6 of 47 Page 176

The rates of working of two taps A and B are in the ratio 2:3. The ratio of the time taken by A and B respectively to fill a given cistern is

We know that number of days taken to work is reciprocal of the rate of the work.


Rates of working of two taps A and B are in the ratio 2:3


Work done by A:


Work done by B:


Ratio of work done is : = 3:2

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4

2 men or 3 women can do a piece of work in 16 days. In how many days can 4 men and 6 women do the same work?

5

A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak?

7

A can finish a piece of work in 12 hours while B can finish it in 15 hours. How long will both take to finish it, working together?

8

A can do a piece of work in 14 days and B is 40% more efficient than A. In how many days can B finish it?

Questions · 47
13. Time and Work
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