Tory and Emilios motorboats travel at the same speed Tory pi

Tory and Emilio\'s motorboats travel at the same speed. Tory pilots her boat 40 km before docking. Emilio continues for another 3 hr, traveling a total of 100 km before docking. How long did it take Tory to navigate the 40 km?

Solution

Let their speeds = x km/h
time taken by tory = 40/x hours to dock
Emilio pilots for another 3 hours = (40/x)+3) hours
Emilio pilots 100 km for (40/x)+3) hours

distance/time=speed
100/ (40/x) +3) =x
100 = x(40/x) +3)
100= 40+3x
3x= 60
x= 20
Tory takes 40 /20 = 2 hours for 40 km