Question: It takes a Cabin Cruiser 5 hours longer to travel 68 Kms then it takes a power boat to travel 102 kms. The Cuiser travels one Quarter the speed of the power boat. Find the Speed of each boat.
Let Vcc be the speed of the Cabin Cruiser.
Let Vpb be the speed of the power boat.
Then Vpb = 4*Vcc.
Time for cabin cruiser top travel 68 km is Tcc = 68/Vcc hrs
Time for power boat to travel 102 km is Tpb = 102/Vpb hrs.
And Tcc = Tpb + 5.
68/Vcc = 102/Vpb + 5
68/Vcc = 102/(4Vcc) + 5
68/Vcc = 25.5/Vcc + 5
(68 - 25.5)/Vcc = 5
42.5/Vcc = 5
42.5/5 = Vcc
Vcc = 8.5 km/hr
Vpb = 34 km/hr