SOLUTION: a bicyclist rode up a mountain at 12 km/h and then back down at 30 km/h. if a round trip takes 3.5 hours, how long did the ride up take?

Algebra ->  Length-and-distance -> SOLUTION: a bicyclist rode up a mountain at 12 km/h and then back down at 30 km/h. if a round trip takes 3.5 hours, how long did the ride up take?      Log On


   



Question 332141: a bicyclist rode up a mountain at 12 km/h and then back down at 30 km/h. if a round trip takes 3.5 hours, how long did the ride up take?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = time in hours to go uphill
Then 3.5+-+t will be the time to go downhill
equation for uphill:
d+=+r%2At
d+=+12t km
equation for downhill:
d+=+30%2A%283.5+-+t%29 km
d+=+105+-+30t km
Since both equal d,
12t+=+105+-+30t
42t+=+105
t+=+2.5
The trip up took 2.5 hrs
check:
d+=+30%2A%283.5+-+t%29 km
d+=+30%2A%283.5+-+2.5%29 km
d+=+105+-+75
d+=+30 km
and
d+=+12t km
d+=+12%2A2.5
d+=+30 km
OK