A freight train leaves a station and travels due east at a speed of 40 mph. One hour later, a passenger...

Question

A freight train leaves a station and travels due east at a speed of 40 mph. One hour later, a passenger train leaves the same station and travels due east on a parallel track at a speed of 60 mph. How far from the station will the passenger train overtake the freight train?
Distance to overtake: ___ miles

SnapAndSolve AI · Accepted Answer

Let the time taken by the passenger train to overtake the freight train be t hours. In that time, the freight train will have traveled for t + 1 hours.

The distance traveled by the freight train is 40(t + 1) miles.

The distance traveled by the passenger train is 60t miles.

Since the passenger train overtakes the freight train, the distances are equal:

60t = 40(t + 1)

Solving for t:

60t = 40t + 40
20t = 40
t = 2

The passenger train travels for 2 hours, so the distance is:

60 * 2 = 120 miles

Distance to overtake: 120 miles

contact us

Contact Info

A freight train leaves a station and travels due east at a speed of 40 mph. One hour later, a passenger...

Answer

Have a similar question?

More math questions