Question

Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. How many kilometers did she travel in all if her total jogging time was 1 hour and 20 minutes?

Answer 1

Distance = x = 5 km

Explanation:

Let the distance be x

one hour and 20 minutes can be written in fraction = 1 1/3 = 4/3

Now we wil develop the equation

`x/6+x/10=4/3\\`

30 is the common multiple and can be multiplied on both sides for simplification.

equation will be reduced to

`5x+3x=40`

Solving for x

`8x=40\\x=5`