math
posted by Kate .
Steve McSpoke left home on his bicycle at 8am, traveling at 18km/h. At 10am, Steve's brother set out after him on a motorcycle, following the same route. The motorcycle traveled at 54km/h. How long had steve traveled when his brother overtook him?

Steve's brother time to catchup  t hrs
Steve's time to catchup by brother  t+2
54t = 18(t+2)
54t = 18t + 36
36t = 36
t = 1
Steve had biked for 3 hours, when his brother overtook him. 
thanks

Also, how far had steve traveled when his brother overtook him?

simply sub in the value of t = 1 into both distances., you will obviously get the same answer since they both went the same distance.

ok

Reiny, how can you show me how to do the last part wirten out?
Thank you so much! 
neverminds. I got it.
Respond to this Question
Similar Questions

intermediate algebra
You can travel 40 miles on a motorcycle in the same time that it takes to travel 15 miles on a bicycle. If your motorcycle's rate is 20 miles per hour faster than your bicycle's rate, find the speed of the motorcycle and bicycle. motorcycle … 
Math: distance,rate,time
Jamila left home on her bike at 11:00 AM traveling at 12 km/h. At noon, her sister Tamantha set out after her following the same route. If Tamantha's motorcycle traveled 28km/h, what time did Tamantha overtake Jamila? 
math
a bicycle rider left town at noon at traveled at a uniform rate of 15 miles an hour. at 2 pm the same day, a motorcycle rider left for the same place at a uniform rate 30 miles an hour higher. at what time did the motorcycle rider … 
Math
Steve mcspoke left home on his bike traveling at 18km/hr. Steve's brother set out 2 hours later , following the same route, TRAVELING 54 per hour. How long did brother have to travel to catch up with Steve? 
Physics
A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.0m/s , and the distance between them is 52.0m . After t1 = … 
Physics
A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.0m/s , and the distance between them is 52.0m . After t1 = … 
math
Stacy and Steve each have brownies of equal size,as shown. Stacy cuts her brownie into halves.Steve cuts his brownie into eighths. Which statement is true? 
Mechanic Science
A motorcycle starts from rest with constant acceleration of 1.5m/s^2 until it achieves velocity of 15m/s. The motorcycle decelerate until it stop 12s. Determine: 1) the deceleration of motorcycle 2) distance traveled by the motorcycle 
maths
Two boat A and B left a port at the same time on different route. B traveled on the bearing of 150 degree and A traveled on the north side of B when had traveled 8 kilometer and B had traveled 10 kilometer. The distance between the … 
HCC
A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 19.5 m/s , and the distance between them is 57.0 m . After t1 …