30 students can do work in 120mins. How long would 90 students take to do the same work at the same rate?

Answer 1

We can set up a proportion to solve this problem. Let's let x represent the number of minutes it would take for 90 students to do the same work.

We can set up the proportion:

30 students can do work in 120 mins
90 students can do work in x mins

Using a proportion, we can solve for x:

30/120 = 90/x

Cross-multiplying gives us:

30x = 120*90

Dividing both sides by 30:

x = (120*90)/30

x = 360

Therefore, it would take 90 students 360 minutes to do the same work at the same rate.