College algebra
posted by Anonymous .
A cyclist bikes at a constant speed for 18 miles. He then returns home at the same speed, but takes a different route. His return trip takes one hour longer and is 23 miles. Find his speed

let the speed be x mph
time for first trip = 18/x
time for 2nd trip = 23/x
23/x  18/x = 1
5/x = 1
x = 5
his speed is 5 mph
check:
time for 1st trip = 18/5 = 3.6 hrs
time for 2nd trip = 23/5 = 4.6 hrs, which is 1 hour more 
Let X be distance per hour,
Ist trip=18miles =18/X
2nd trip=23miles =23/X,=1hr longer
speed,S=2nd trip1st trip
X=2318
X=5mph.
checkings
23/5 18/5 =4.63.6=1hr
Respond to this Question
Similar Questions

math
You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home? 
Algebra
You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home? 
Algebra
You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home? 
Algebra
You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home? 
algebra
Sheila leaves her home to go to her sister's house, which is a 24mile drive. The trip takes 36 minutes. She returns home taking the same route at a speed that is 5 miles per hour faster. How many minutes did the trip home take? 
math
A cyclist bikes at a constant speed for 18 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 23 miles. Find his speed. 
Math Multistep word problems
A plane traveling from Phoenix to Washington, D.C with a tailwind of 20 miles per hour takes 3 hours. The return trip in the same wind, which is now a headwind, takes the same plane 3 hours and 12 minutes. What is the average speed … 
math
Solve the problem.A cyclist bikes at a constant speed for 25 miles. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 30 miles. Find his speed. 
intermediate algebra
a cyclist bikes at a constant speed for 19 mile. He then returns home at the same speed but takes a different route. His return trip takes one hour longer and is 24 miles. Find his speed 
Math
Avi drove from his home to college 60 miles per hour. Returning over the same route, there was a lot of traffic, and he was only able to drive at 40 miles per hour. If the return trip took one hour longer, how many miles did he drive …