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If A can finish a work in 20 days and B can finish it in 30 days, how long will

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Question: If A can finish a work in 20 days and B can finish it in 30 days, how long will they take to finish the work if A works for 10 days and then B works for 10 days?

Options:

  1. 15 days
  2. 20 days
  3. 25 days
  4. 30 days

Correct Answer: 20 days

Solution: 

A\'s work in 10 days = 10/20 = 1/2. Remaining work = 1/2. B\'s rate = 1/30. B will take 15 days to finish the remaining work.

If A can finish a work in 20 days and B can finish it in 30 days, how long will

Practice Questions

Q1
If A can finish a work in 20 days and B can finish it in 30 days, how long will they take to finish the work if A works for 10 days and then B works for 10 days?
  1. 15 days
  2. 20 days
  3. 25 days
  4. 30 days

Questions & Step-by-Step Solutions

If A can finish a work in 20 days and B can finish it in 30 days, how long will they take to finish the work if A works for 10 days and then B works for 10 days?
  • Step 1: Determine how much work A can do in one day. Since A can finish the work in 20 days, A's work rate is 1/20 of the work per day.
  • Step 2: Determine how much work B can do in one day. Since B can finish the work in 30 days, B's work rate is 1/30 of the work per day.
  • Step 3: Calculate how much work A can complete in 10 days. A's work in 10 days = 10 days * (1/20 work per day) = 10/20 = 1/2 of the work.
  • Step 4: Determine the remaining work after A works for 10 days. Since A completed 1/2 of the work, the remaining work = 1 - 1/2 = 1/2 of the work.
  • Step 5: Calculate how long it will take B to finish the remaining work. B's work rate is 1/30, so to finish 1/2 of the work, B will take (1/2) / (1/30) = (1/2) * (30/1) = 15 days.
  • Work Rate Calculation – Understanding how to calculate the amount of work done based on individual work rates and time.
  • Combined Work – Analyzing how two individuals contribute to a task over a period of time.
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