If a team of 6 people can finish a project in 15 days, how many days will it tak

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Question: If a team of 6 people can finish a project in 15 days, how many days will it take for 3 people to finish the same project?

Options:

Correct Answer: 45

Solution:

The work done is constant. If 6 people take 15 days, then 3 people will take 15 * (6/3) = 30 days.

If a team of 6 people can finish a project in 15 days, how many days will it take for 3 people to finish the same project?

If a team of 6 people can finish a project in 15 days, how many days will it take for 3 people to finish the same project?

Step 1: Understand that the total amount of work needed to finish the project is the same, no matter how many people are working on it.
Step 2: Calculate the total work done by the team of 6 people in 15 days. This can be thought of as 6 people working for 15 days.
Step 3: Determine how many days it would take for 1 person to do the same amount of work. Since 6 people take 15 days, 1 person would take 6 times longer, which is 15 days * 6 = 90 days.
Step 4: Now, calculate how long it would take for 3 people to do the same work. Since 3 people are working, they will take 90 days / 3 = 30 days.
Step 5: Conclude that it will take 3 people 30 days to finish the project.

Work Rate – Understanding how the number of workers affects the time taken to complete a project, based on the principle of constant work output.
Inverse Proportionality – Recognizing that as the number of workers decreases, the time taken to complete the work increases proportionally.