Posted by **Kate** on Wednesday, January 2, 2013 at 5:14pm.

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?

- math -
**Reiny**, Wednesday, January 2, 2013 at 5:21pm
Steve's brother time to catch-up --- t hrs

Steve's time to catch-up 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.

- math -
**Kate**, Wednesday, January 2, 2013 at 5:26pm
thanks

- math -
**Kate**, Wednesday, January 2, 2013 at 5:27pm
Also, how far had steve traveled when his brother overtook him?

- math -
**Reiny**, Wednesday, January 2, 2013 at 5:38pm
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.

- math -
**Kate**, Wednesday, January 2, 2013 at 5:39pm
ok

- math -
**Kate**, Wednesday, January 2, 2013 at 5:53pm
Reiny, how can you show me how to do the last part wirten out?

Thank you so much!

- math -
**Kate**, Wednesday, January 2, 2013 at 5:56pm
neverminds. I got it.

## Answer this Question

## Related Questions

- Math - Steve mcspoke left home on his bike traveling at 18km/hr. Steve's brother...
- Math: distance,rate,time - Jamila left home on her bike at 11:00 AM traveling at...
- Physics - A motorcycle is following a car that is traveling at constant speed on...
- Physics - A motorcycle is following a car that is traveling at constant speed on...
- intermediate algebra - You can travel 40 miles on a motorcycle in the same time ...
- math - a bicycle rider left town at noon at traveled at a uniform rate of 15 ...
- Math Problem Solving - You have a $9000 motorcycle and a $850 bicycle. The ...
- physics - A motorcycle traveling 91.0 km/hr approaches a car traveling in the ...
- physics - A motorcycle traveling 91.0 km/hr approaches a car traveling in the ...
- physics - a car traveling in a large circle passes by a motorcycle that is ...

More Related Questions