7th Grade Math
posted by Rebecca .
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 5 km/hour faster than the bicyclist heading south. At 10:30, they are 40.5 km apart. find both of their rates.

Since they are heading north and south, let the southern speed be s, so the northern speed is s+5
After 1.5 hours, the distance is 40.5km
distance is speed * time
40.5 = (s + s+5) * 1.5
27 = 2s+5
22 = 2s
s = 11
so, the cyclist going south moves at 11km/hr, north at 16 km/hr
they are moving apart at 27km/hr, so at 1.5 hours they are 40.5 km apart.
Respond to this Question
Similar Questions

7th Grade Math
Write one or two equations to represent the situation below. Solve the equation(s). Show all your work. Two cars leave town going in opposite directions. The car heading north travels at 55 mph. The car heading south travels at 75 … 
Help w/this one again(Math!!)
Write one or two equations to represent the situation below. Solve the equation(s). Show all your work. Two cars leave town going in opposite directions. The car heading north travels at 55 mph. The car heading south travels at 75 … 
MATH
on a compass,north has a heading of 0 degrees what is the heading when your going east,south or west 
C Programming
How do you reprompt after the user inputs a wrong number into the program in C Programming? 
Math
One of your friends is heading north for the Christmas holiday and the other friend is heading south.If their destines are 1029 miles apart and one car is traveling at 45 miles per hour and the other car is traveling at 53 miles per … 
math
One of your friends is heading north for the Christmas holiday and the other friend is heading south. If their destinies are 1029 miles apart and one car is traveling at 45 miles per hour and the other car is traveling at 53 miles … 
math
one of your friends is heading north for a holiday and the other is heading south . If their destinations arre 1029 miles apart and one car is traveling at 45 miles per hour and the other is traveling at 53 miles per hour . How many … 
physics
Bob has a helicopter and from the launch pad he flies the following path. First he travels from the launch pad a distance of 33 kilometers at heading 10 degrees West of North. Then he flies 18 kilometers heading 45 degrees East of … 
8th grade math
One of your friends is heading north for the Christmas holiday and the other friend is heading south. If when they start, they are 1029 miles apart and one car is traveling at 53 miles per hour, and the other 45 miles per hour, how … 
Physics
Bob has a helicopter and from the launch pad he flies the following path. First he travels from the launch pad a distance of 52 kilometers at heading 79 degrees South of West. Then he flies 26 kilometers heading 22 degrees north of …