SOLUTION: Jim leaves 25 miles from work. He rides his bike at 9mph to the metro which travels at 30mph. He spends 2 minutes less on his bike than on the metro. What's the distance from hi

Question 676270: Jim leaves 25 miles from work. He rides his bike at 9mph to the metro which travels at 30mph. He spends 2 minutes less on his bike than on the metro. What's the distance from his house to the metro?
The answer is five miles. However, here is how I set it up. 9(x-2) + 30x = 25 and then I tried 9(x-.03) + 30x = 25. Not once did I get the answer. I'm stuck.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Jim leaves 25 miles from work.
He rides his bike at 9mph to the metro which travels at 30mph.
He spends 2 minutes less on his bike than on the metro.
What's the distance from his house to the metro?
:
I don't get that answer either, but because we are using mph, you have to convert two minutes to hrs.
:
let = time to bike to the metro at 9 mph
Change two min to hrs: 2/60 = 1/30 hr
then
(t+) = time on the metro at 30 mph
:
WRite a diat equation; dist = speed * time
:
bike dist + metro dist = 25 mi
9t + 30(t+) = 25
9t + 30t + 1 = 25; (30's cancel)
39t = 25 - 1
39t = 24
t = 24/39 = 8/13 hrs on the bike
Find the dist
9* = 5.54 miles to the metro
:
:
Check this by finding the distance on the metro
[+] * 30 =
.6487 * 30 = 19.46 mi on the bus
:
Find the total distances of bike and bus
5.54 + 19.46 = 25 mi, confirms our solution of 5.54 to the metro
RELATED QUESTIONS
Alexandra lives thirty-three miles from work. During the summer, she rides her bike at... (answered by Paul)

Jim lives 70 miles from work. He rides his bike at 6 mph to the metro station. He then... (answered by josmiceli)

Ok, Its been years for me and so here is the questions I have. I know that distance =... (answered by kev82)

Jessie leaves home at 7:30 am and rides his bike to school at a speed of 9mph. If his... (answered by sofiyac)

Alexandra lives 33 miles from work. During the summer she rides her bike at 7mph to the... (answered by solver91311,edjones)

I need help with this question: mr. kasberg rides his bike at 6 mph to the bus... (answered by ankor@dixie-net.com)

Jim rides his bike to school every morning at an average speed of 15 miles per hour. He... (answered by mananth)

If George rides his bike at 20 mph, and he travels 5 miles. How many minutes will this... (answered by ewatrrr)

Darned and hector ride their bikes at constant speeds. Darnel leaves hectors house to... (answered by ikleyn)