Algebra I
posted by Wilford .
1. A Passenger train's speed is 60mi/h and a freight train's speed is 40mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip?
2. Lois rode her bike to visit a friend. She traveled at 10 mi/h. While she was there it began to rain. Her friend drove her home in a car traveling at 20 mi/h. Lois took 1.5 h longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friend's house?

distance = rate x time
passenger train rate = 60 mi/hr
freight train rate = 40 mi/hr.
distance traveled by P = 60*t
distance traveled by F = 40*t
time for F is 1.5 hours longer than P so
F dist = 40(t+1.5) = P dist = 60*t
set distance = to each other
60*t=40(t+1.5)
solve for t = time for passenger train.
Then t+1.5 = tiome for freight train. 
#2 is done the same say as #1. Post your work if you get stuck.

2:30

40(t+1.5)=60x t
2/3(t+1.5)= T
Respond to this Question
Similar Questions

MATH Algebra
The speed of a passenger train is 6 mph faster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 250 miles. Find the speed of each train. What is the speed … 
algebra
A passenger train's speed is 60 mi/h, and a freight train's speed is 40 mi/h. The passenger train travels the same distance in 1.5 h less time than the freight train. How long does each train take to make the trip? 
Physics
the engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of … 
physics
An engineer of a passenger train traveling at 25.0 m/s sights a freight train whose caboose is 200m ahead on the same track. The freight train is traveling at 15.0 m/s in the same direction as the passenger train. The engineer of the … 
algebra
a passenger train's speed is 60mi/h, and a freight train's speed is 40mi/h .The passenger train travels the same distance in 1.5 h less time than the freight train. how long does each train take to make the trip? 
Algebra
Speed of passenger train is 6mph faster than the freight train. The passenger train travels 260 miles at the same time the freight train travels 230 mph. WHAT would be the speed of both the passenger and freight trains? 
algebra
the speed of a passenger train is 20mph faster than the speed of a freight train. the passenger train travels 300 miles in the same time it takes the freight train to travel 200miles find the speed of each train. 
algebra 1b
the speed of a passenger train is 18mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 220 miles. Find the speed of each train passenger train mph … 
math please help
The speed of a passenger train is 8 mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 270 miles. Find the speed of each train. What is the speed … 
Math
A freight train travels 260 km in the same time a passenger train travels 320 km. If the passenger train averages 15km/hour faster than the freight train, what is the average speed of the freight?