Question

Jack is taking a math quiz. He needs to solve at least 10 geometry and algebra problems within three hours. Jack takes 30 minutes to solve a geometry problem and 10 minutes to solve an algebra problem. How many geometry problems can Jack solve within three hours?

1) 5
2) 6
3) 7
4) 8

Answer 1

Jack can solve 6 geometry problems in three hours because it takes him 30 minutes to solve each one and he has a total of 180 minutes available.

Step-by-step explanation:

The student asked how many geometry problems Jack can solve within three hours. Given that Jack takes 30 minutes to solve a single geometry problem, if he were to only work on geometry problems for the entire three hours, he would be able to solve:

Solving time for one geometry problem = 30 minutes
Total available time = 3 hours = 180 minutes

Number of geometry problems Jack can solve = Total available time / Solving time for one geometry problem
Number of geometry problems Jack can solve = 180 minutes / 30 minutes per problem

Jack can solve a total of 6 geometry problems within three hours because:

Number of geometry problems Jack can solve = 6 problems