Question

Jill burns 8 calories per minute while jogging and 12 calories per minute while running. She wants to burn 340 calories and runs 10 minutes, how many minutes must she jog?

Answer 1

Jog:

Relation 1:

Run:

Relation 2:

If we use relation 2, we obtain the following rule of 3:

Resolve for x calories running :

`x\text{ calories running = }\frac{10\text{ minutes x 12 calories }}{1\text{ minute}}\text{ = 120 calories}`

So, Jill burns 120 calories per 10 minutes while running. Now, we want to know how many minutes must she jog if she wants to burn 340 calories. the remaining calories she must burn are:

340 calories - 120 calories: 220 calories only jogging. Then if we use relation 1, we obtain the following rule of 3:

resolve for x minutes jogging :

`x\text{ minutes jogging = }\frac{220\text{ calories x 1 minute}}{8\text{ calories}}\text{ = 27.5 minutes}`

so the correct answer is 27.5 minutes that is approximately 28 minutes jogging.