To find out how long it would take for the group to finish the work if 3 more students join, we need to understand the concept of work rate.
1. If a group of 5 students can finish the work in 4 hours, it means that the rate at which they work together is: 1 work / (5 students * 4 hours) = 1/20 works per hour.
2. When 3 more students join, the total number of students becomes 5 + 3 = 8 students.
3. To calculate how long it would take for 8 students to finish the work, we use the work rate formula: Time = 1 / Rate.
4. The new rate with 8 students working together is: 1 work / (8 students * x hours), where x is the unknown time.
5. Setting up the equation: 1/20 = 1 / (8x).
6. Solving for x, we get: x = 8/20 = 2/5 hours.
7. Therefore, if 3 more students join the group, they would finish the work in 2/5 hours or 24 minutes.
