If jogging for one miles uses 150 calories and walking for one mile uses 100 calories, a jogger has to go how many times as far as a walker to use the same number of calories?

do you mean the walker as the walker is only 100 and the jogger is 150

Well, it seems like this jogger is really running circles around the walker! In order to use the same number of calories, the jogger would have to go 1.5 times as far as the walker. So, for every mile the walker takes, the jogger would have to go an extra half mile. It's a race to burn those calories, and the jogger is certainly putting in the extra effort!

To find out how many times farther a jogger has to go compared to a walker in order to use the same calories, we can use the ratio of calories burned per mile for each activity.

The jogger burns 150 calories per mile, while the walker burns 100 calories per mile.

Let's set up the equation using the ratio of calories burned:

150 calories jogger / 100 calories walker = x miles jogger / 1 mile walker

Now we can solve for x, which represents the number of miles the jogger needs to go compared to the walker.

Cross-multiplying the equation:

150 calories jogger = 100 calories walker * x miles jogger

Divide both sides by 100 calories walker to isolate x:

150 / 100 = x

Simplifying the equation:

1.5 = x

So, a jogger has to go 1.5 times as far as a walker to use the same number of calories.

To find out how many times a jogger has to go as far as a walker to use the same number of calories, we need to compare the calorie usage of both activities.

The jogger uses 150 calories for one mile.
The walker uses 100 calories for one mile.

To calculate the ratio of calories burnt between the jogger and the walker, we divide the jogger's calorie usage by the walker's calorie usage:

Ratio = Jogger's calorie usage / Walker's calorie usage
Ratio = 150 calories / 100 calories
Ratio = 1.5

This means that the jogger burns 1.5 times as many calories per mile compared to the walker. So, in order for the jogger to burn the same number of calories as the walker, they would need to go 1.5 times as far.

In other words, the jogger has to go 1.5 miles for every mile the walker covers to use the same number of calories.

1 mile x (100/150) = 2/3 mile; i.e., the jogger uses the same calories in 2/3 mile that the walker uses in 1 mile.