SOLUTION: I live 260 miles from a popular mountain retreat. On my way there to do some mountain biking, my car had a break down forcing me to bike the rest of the way. If I drove 2 hours lon
Algebra.Com
Question 681980: I live 260 miles from a popular mountain retreat. On my way there to do some mountain biking, my car had a break down forcing me to bike the rest of the way. If I drove 2 hours longer than I biked and average 60 mph driving and 10 mph biking, how many hours did I spend biking to the resort?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let biking distance be x
biking speed = 10 mph
driving distance = 260-x
driving speed = 60 mph
x/10 +2=(260-x)/60
x/10 -(260-x)/60 = -2
LCD = 60
multiply equation by 60
6x-260+x=-2*60
7x= -120+260
7x=140
/7
x= 20 miles
time biking = distance biking/speed biking
=20/10 = 2 hours
RELATED QUESTIONS
Without taking a single break, Mercedes hiked for 10 hours, up a mountain and back down... (answered by mananth)
I am standing at the trailhead of a mountain trail on level ground. I know from my map... (answered by Earlsdon)
I'm stuck on this math problem, please spare some time to help me. I'd really appreciate... (answered by ankor@dixie-net.com)
You ride your bike x miles per hour up a mountain for 45 minutes. On the way down the... (answered by josgarithmetic)
Driving down a mountain, Tom finds that he has descended 1800 ft. in elevation by the... (answered by edjones)
Driving down a mountain, George finds that he has descended 1800ft in elevation by the... (answered by RAY100)
Suppose a bike rider climbs a mountain at 10km/hr and decends the mountain at 50km/hr.... (answered by Alan3354)
Hello. My question is about uniform motion. The problem is as follows:
Chris and... (answered by ankor@dixie-net.com)
I have not been in a math class for over 30 years am now taking a math course. Please... (answered by ankor@dixie-net.com)