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A and B can complete a work in 12 days and 15 days respectively. If they work to

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Question: A and B can complete a work in 12 days and 15 days respectively. If they work together, how many days will they take to complete the work?

Options:

  1. 6 days
  2. 7 days
  3. 8 days
  4. 9 days

Correct Answer: 8 days

Solution:

A\'s work rate = 1/12, B\'s work rate = 1/15. Combined work rate = 1/12 + 1/15 = 5/60 = 1/12. Time taken = 12 days.

A and B can complete a work in 12 days and 15 days respectively. If they work to

Practice Questions

Q1
A and B can complete a work in 12 days and 15 days respectively. If they work together, how many days will they take to complete the work?
  1. 6 days
  2. 7 days
  3. 8 days
  4. 9 days

Questions & Step-by-Step Solutions

A and B can complete a work in 12 days and 15 days respectively. If they work together, how many days will they take to complete the work?
Correct Answer: 12 days
  • Work Rate – Understanding how to calculate individual work rates and combine them to find the total work rate when multiple workers are involved.
  • Fraction Addition – Adding fractions with different denominators to find a common work rate.
  • Time Calculation – Calculating the time taken to complete a task based on the combined work rate.
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