Franklin bikes from A to B at 25 km/h. He returns by car at 75 kmh. The bike trip is 2 hours longer than the car trip. How far is it from A to B?
Using....rate x time = distance
Let x be the time at 75km/hr
Then, x + 2 is the time at 25km/hr
Then, because the distances are equal, we have
25(x + 2) = 75x simplify
25x + 50 = 75x
50 = 50x
x = 1 this is the time the car traveled
And its rate times its time gives the distance from A to B = 75km/hr (1 hr) = 75 km
Note that the distance by bike is 25km/hr(1 + 2)hr = 25(3) = 75 km....just the same !!!
Using....rate x time = distance
Let x be the time at 75km/hr
Then, x + 2 is the time at 25km/hr
Then, because the distances are equal, we have
25(x + 2) = 75x simplify
25x + 50 = 75x
50 = 50x
x = 1 this is the time the car traveled
And its rate times its time gives the distance from A to B = 75km/hr (1 hr) = 75 km
Note that the distance by bike is 25km/hr(1 + 2)hr = 25(3) = 75 km....just the same !!!