Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute.

Complete question :

Ryan is choosing between two exercise routines. In Routine #1, he burns 22 calories walking. He then runs at a rate that burns 10.5 calories per minute. In Routine #2, he burns 39 calories walking. He then runs at a rate that burns 6.25 calories per minute. For what amounts of time spent running will Routine #1 burn at most as many calories as Routine #2?

4 minutes

Step-by-step explanation:

Given the following exercise routines :

Routine #1,

Walking : burns 22 calories walking. He then running : burns 10.5 calories per minute.

Routine #2,

Walking : burns 39 calories walking. He then running : burns 6.25 calories per minute.

Let number of tone spent running = t

Hence,

Routine 1 ; calories burned

22 + 10.5t

Routine 2 ; calories burned

39 + 6.25t

Equating the two equations :

22 + 10.5t = 39 + 6.25t

10.5t - 6.25t = 39 - 22

4.25t = 17

t = 17/4.25

t = 4

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