Question

Yumi takes 5/12 of an hour to complete 50 math problems Eric is able to complete 48 math problems in 2/5 an hour which students can complete math problems greater rate of problems per hour

Answer 1

Yumi will complete math problems at rate of 120 problems per hour.

Explanation:

Yumi takes 5/12 of an hour to complete 50 problems.

`\text{5/12 of an hour}=60*(5)/(12) =5*5=25\text{ minutes}`

Let us find how much time Yumi will take to solve 1 problem.

`\text{Time Yumi will take to solve one problem}= (25)/(50)= (1)/(2)\text{ minute}`

We can see that Yumi completes one problem in half minute, therefore, Yumi will complete 120 problems in an hour.

Eric takes 4/5 of an hour to complete 48 problems.

`\text{4/5 of an hour}=60*(4)/(5) =12*4=48\text{ minutes}`

Let us find how much time Eric will take to solve 1 problem.

`\text{Time Eric will take to solve one problem}= (48)/(48)= 1\text{ minute}`

Eric takes one minute to solve one problem, therefore, he will solve 60 problems in an hour.

Therefore, Yumi will complete math problems at 2 times greater rate than Eric.