If 15 students can complete a project in 30 days, how many days will it take for

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Question: If 15 students can complete a project in 30 days, how many days will it take for 10 students to complete the same project?

Options:

Correct Answer: 50 days

Solution:

15 students * 30 days = 450 student-days. For 10 students, days = 450 / 10 = 45 days.

If 15 students can complete a project in 30 days, how many days will it take for 10 students to complete the same project?

If 15 students can complete a project in 30 days, how many days will it take for 10 students to complete the same project?

Step 1: Understand that 15 students can complete the project in 30 days.
Step 2: Calculate the total amount of work done in 'student-days'. Multiply the number of students by the number of days: 15 students * 30 days = 450 student-days.
Step 3: Now, we need to find out how many days it will take for 10 students to complete the same project.
Step 4: Use the total student-days (450) and divide it by the number of students (10): 450 student-days / 10 students = 45 days.
Step 5: Conclude that it will take 10 students 45 days to complete the project.

Work Rate – This problem tests the understanding of work rate, where the total work is measured in 'student-days' and how it scales with the number of students.
Inverse Proportionality – The relationship between the number of students and the time taken to complete the project is inversely proportional; as the number of students decreases, the time taken increases.