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If A can do a work in 16 days and B can do it in 24 days, how long will they tak

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Question: If A can do a work in 16 days and B can do it in 24 days, how long will they take to complete the work together?

Options:

  1. 8 days
  2. 10 days
  3. 12 days
  4. 14 days

Correct Answer: 12 days

Solution:

A\'s rate = 1/16, B\'s rate = 1/24. Combined rate = 1/16 + 1/24 = 1/9. They will finish the work in 9 days.

If A can do a work in 16 days and B can do it in 24 days, how long will they tak

Practice Questions

Q1
If A can do a work in 16 days and B can do it in 24 days, how long will they take to complete the work together?
  1. 8 days
  2. 10 days
  3. 12 days
  4. 14 days

Questions & Step-by-Step Solutions

If A can do a work in 16 days and B can do it in 24 days, how long will they take to complete the work together?
  • Work Rate – Understanding how to calculate the work rate of individuals and their combined work rate.
  • Fraction Addition – Adding fractions with different denominators to find a combined rate.
  • Time Calculation – Calculating the total time taken to complete a task when multiple workers are involved.
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