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If a student can complete a project in 10 days, how many days will it take for 3

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Question: If a student can complete a project in 10 days, how many days will it take for 3 students working together to complete the same project?

Options:

  1. 3.33
  2. 5
  3. 10
  4. 15

Correct Answer: 5

Solution: 

Work done by 1 student in 1 day = 1/10. Work done by 3 students in 1 day = 3/10. Time taken = 10/3 = 3.33 days.

If a student can complete a project in 10 days, how many days will it take for 3

Practice Questions

Q1
If a student can complete a project in 10 days, how many days will it take for 3 students working together to complete the same project?
  1. 3.33
  2. 5
  3. 10
  4. 15

Questions & Step-by-Step Solutions

If a student can complete a project in 10 days, how many days will it take for 3 students working together to complete the same project?
  • Step 1: Understand that 1 student can finish the project in 10 days.
  • Step 2: Calculate how much of the project 1 student can complete in 1 day. This is 1 divided by 10, which equals 1/10.
  • Step 3: Since there are 3 students working together, calculate how much of the project they can complete in 1 day. This is 3 times the work of 1 student, which equals 3/10.
  • Step 4: To find out how many days it will take for the 3 students to complete the project, divide the total project (1) by the work they can do in 1 day (3/10). This is 1 divided by (3/10).
  • Step 5: Simplify the division: 1 divided by (3/10) is the same as 1 times (10/3), which equals 10/3.
  • Step 6: Calculate 10/3, which is approximately 3.33 days.
  • Work Rate – Understanding how to calculate work done based on the number of workers and the time taken.
  • Combined Work – Calculating the total work done when multiple individuals work together.
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