The Brodskys drove to the mountains at 60kmh they returned a

The Brodskys drove to the mountains at 60km/h. they returned at 40km/h. The return trip took 2 hours longer than the trip to the mountains. How long did it
take them to get home?

Solution

Let t = time to make the trip home
Then
(t-2) = time to make the trip to the mts.
:
The distances there and back are equal. Make an distance equation from that fact
dist = speed * time
:
dist out = dist back
60(t-2) = 40t
;
60t - 120 = 40t
:
60t - 40t = +120
:
20t = 120
:
t = 120/20
:
t = 6 hrs
:
:
Check our solution by find the distances, they should be equal
60 * 4 = 240
40 + 6 = 240