pam jogged up at 6km/hrand went back down at 10k/hrhow manykm did she travel if hert total time was 1hour 20mn

Answer 1

I'm assuming that the distance up the hill is the same as the distance down the hill. I'm not sure why the other answerers are missing that point...

Let U = time to get up the hill
Let D = time to get down the hill

6 kph * U = distance up
10 kph * D = distance down (same distance!)

So 6U = 10D

Also U + D = 1 1/3 hour

Now solve:

D = 6U/10
16U/10 = 4/3 hour
U = 4/3 * 10/16
U = 40/48
U = 5/6 hour

6U = distance up
6(5/6) = 5 km

As a double check:
50 minutes x 6 kph = 5 km
30 minutes x 10 kph = 5 km

So she traveled a total of 10 km.

Answer 2

1 hr and 20 min = 1.33 hr/2 = 0.665 hr going up and 0.665 hr down

6km/hr * 0.665hr = 3.99 km up
10 km/hr * 0.665hr = 6.65 km down

3.99 + 6.65 = 10.64 km

Answer 3

it is 10.75