If 15 students can complete a project in 20 days, how many students are needed t

₹0.0

Question: If 15 students can complete a project in 20 days, how many students are needed to complete it in 10 days?

Options:

Correct Answer: 30 students

Solution:

If 15 students take 20 days, then to complete in 10 days, we need 15 * (20/10) = 30 students.

If 15 students can complete a project in 20 days, how many students are needed to complete it in 10 days?

If 15 students can complete a project in 20 days, how many students are needed to complete it in 10 days?

Step 1: Understand that 15 students can finish the project in 20 days.
Step 2: Recognize that if we want to finish the project in 10 days, we need to work faster.
Step 3: Calculate how many times faster we need to work. Since 10 days is half of 20 days, we need to work twice as fast.
Step 4: Since we need to work twice as fast, we need twice the number of students.
Step 5: Multiply the original number of students (15) by 2 to find out how many students are needed: 15 * 2 = 30.
Step 6: Conclude that 30 students are needed to complete the project in 10 days.

Work Rate – The relationship between the number of workers, the time taken, and the amount of work done, often expressed in terms of man-days.
Inverse Proportionality – Understanding that as the number of days decreases, the number of students needed increases, assuming the amount of work remains constant.