If 10 students can complete a project in 15 days, how many days will it take for

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Question: If 10 students can complete a project in 15 days, how many days will it take for 5 students to complete the same project?

Options:

Correct Answer: 30 days

Solution:

Work = 10 students * 15 days = 150 student-days. For 5 students, days = 150 student-days / 5 students = 30 days.

If 10 students can complete a project in 15 days, how many days will it take for 5 students to complete the same project?

If 10 students can complete a project in 15 days, how many days will it take for 5 students to complete the same project?

Step 1: Understand that 10 students can finish a project in 15 days.
Step 2: Calculate the total work done in 'student-days'. This means multiplying the number of students by the number of days: 10 students * 15 days = 150 student-days.
Step 3: Now, we need to find out how many days it will take for 5 students to complete the same project.
Step 4: To find the number of days for 5 students, divide the total work (150 student-days) by the number of students (5 students): 150 student-days / 5 students = 30 days.
Step 5: Therefore, it will take 5 students 30 days to complete the project.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Inverse Proportionality – Recognizing that as the number of students decreases, the time taken to complete the project increases.