Question

Petra jogs 6 miles in 42 minutes. At this rate, how long would it take her to jog 8 miles?

Answer 1

To find out how long it would take Petra to jog 8 miles at the same rate, we can set up a proportion based on the distance and time relationship:

Distance 1 / Time 1 = Distance 2 / Time 2

Using the information given:
6 miles / 42 minutes = 8 miles / Time 2

To solve for Time 2, we can cross-multiply and then divide:

6 miles * Time 2 = 8 miles * 42 minutes

6 * Time 2 = 8 * 42

6 * Time 2 = 336

Now, we divide both sides by 6 to isolate Time 2:

Time 2 = 336 / 6

Time 2 = 56 minutes

Therefore, it would take Petra 56 minutes to jog 8 miles at the same rate.

Answer 2

56 minutes

Explanation:

We can use proportions to solve.

6 miles 8 miles

------------ = ------------------

42 minutes x minutes

Using cross products.

6x = 42 *8

Divide each side by 6

x = 42/6 * 8

x = 7*8

x = 56