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One tap can fill a cistern in 3 hours an...

One tap can fill a cistern in 3 hours and the waste pipe can empty the full cistern in 5 hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together ?

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The correct Answer is:
`7(1)/(2)` days
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ICSE-DIRECT AND INVERSE VARIATIONS-EXERCISE 10 (E)
  1. A can do a piece of work in 10 days and B in 15 days. How long will th...

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  2. A and B together can do a piece of work in 6(2)/(3) days, but B along ...

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  3. A can do a work in 15 days and B in 20 days. If they work together on ...

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  4. A, B and C can do a piece of work in 6 days, 12 days and 24 days resp...

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  5. A and B working together can mow a field in 56 days and with the help ...

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  6. A can do a piece of work in 24 days, A and B can do it in 16 days and ...

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  7. A can do a piece of work in 20 days and B in 15 days. They worked toge...

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  8. A can finish a piece of work in 15 days and B can do it in 10 days. Th...

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  9. A can do a piece of work in 10 days, B in 18 days and A, B and C toget...

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  10. A can do (1)/(4) of a work in 5 days and B can do (1)/(3) of the same ...

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  11. One tap can fill a cistern in 3 hours and the waste pipe can empty the...

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  12. A and B can do a work in 8 days, B and C in 12 days, and A and C in 16...

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  13. A and B complete a piece of work in 24 days, B and C do the same work ...

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  14. A and B complete a piece of work in 24 days, B and C do the same work ...

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  15. A and B complete a piece of work in 24 days, B and C do the same work ...

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  16. A and B can do a piece of work in 40 days, B and C in 30 days, and C a...

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  17. A and B can do a piece of work in 40 days, B and C in 30 days, and C a...

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  18. A can do a piece of work in 10 days, B in 12 days and C in 15 days. Al...

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  19. Two pipes P and Q would fill an empty cistern in 24 minutes and 32 min...

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