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If A can do a work in 15 days and B can do it in 25 days, how long will it take

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Question: If A can do a work in 15 days and B can do it in 25 days, how long will it take for A and B to complete the work if A works for 5 days and then B works for 5 days?

Options:

  1. 10 days
  2. 12 days
  3. 15 days
  4. 20 days

Correct Answer: 12 days

Solution:

A\'s work in 5 days = 5/15 = 1/3. Remaining work = 2/3. B\'s rate = 1/25. B will take 50/3 days to finish the remaining work.

If A can do a work in 15 days and B can do it in 25 days, how long will it take

Practice Questions

Q1
If A can do a work in 15 days and B can do it in 25 days, how long will it take for A and B to complete the work if A works for 5 days and then B works for 5 days?
  1. 10 days
  2. 12 days
  3. 15 days
  4. 20 days

Questions & Step-by-Step Solutions

If A can do a work in 15 days and B can do it in 25 days, how long will it take for A and B to complete the work if A works for 5 days and then B works for 5 days?
  • Work Rate – Understanding how to calculate the work done by individuals based on their rates and the time they work.
  • Combined Work – Calculating the total work done when multiple individuals work in succession.
  • Fraction of Work – Using fractions to represent portions of work completed and remaining.
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