Boat is traveling from A to B at 33mph Plane is also traveli

Boat is traveling from A to B at 33mph
Plane is also traveling from same A to B at 605mph.
Plane takes 104 hours LESS to make the trip.
How far apart are A and B.
It does not say if they left at the same time, but have to assume they did.
It does not say for how long either were traveling.
Thanks in advance!

Solution

It does say they both went from A to B, therefore they are traveling the same distance. If we find the times required to make the trips, it\'s an easy calculation to find the distance
:
Let t = boat\'s time to make the trip
:
Then (t-104) = plane\'s time to make the trip
:
Boat\'s speed is given as 33 mph;
:
Plane\'s speed = 605 mph
:
Dist = speed * time
:
Plane\'s dist = Boat\'s dist
605(t-104) = 33t
605t - 62920 = 33t
605t - 33t = +62920
572t = 62920
t = 62920/572
t = 110 hrs for the boat to make the trip
:
Remember that Dist = speed * time:
:
Dist = 33 * 110 = 3630 mi
:
We can check out solution by finding the dist the plane travels, it should be the same.
605 *(110-104) =
605 * 6 = 3630 mi also from a to b