Posted by Sioux on Thursday, June 18, 2009 at 8:56am.
The road connecting two mountain villages goes only uphill or downhill. A bus always travels 15 mph uphill and 30 mph downhill. Find the distance between the villages if it takes exactly four hours for the bus to complete a round trip.

Math  Reiny, Thursday, June 18, 2009 at 9:13am
I always had my students do these questions by organizing the information in a chart.
let the time take to go uphill be t hours
then the time taken to go downhill is 4t hours
.......... Dist.....rate..time
uphill: ....15t......15....t
downhill....30(4t) ..30...4t
(I hope this somehow lined up)
but the distance is the same, so
15t = 30(4t)
15t = 120  30t
45t = 120
t = 8/3
distance = 15t = 15(8/3)
= 40 km
Answer This Question
Related Questions
 math..word problem  The road connecting two mountain villages goes only uphill ...
 Algebra II  A runner completes a 16 mile trip, running 8 miles uphill and 8 ...
 h.s. physics  In putting, the force with which a golfer strikes a ball is ...
 @elena  i noticed you helped a lot of people with their questions with physics...
 algebra  Marlene rides her bycicle to her friend Jon's house and returns home ...
 math  distance = rate x time or d = r*t car traveling 40 mi/hr goes 40 mi/hr x ...
 math  Erica's average rate going uphill was 80% of her average rate going ...
 math  Estimate the distance the bus travels in 2 3/4 hours at 60 mph.
 algabra  a train and a bus leave at 10:00 a.m. from towns 45 mi apart. they ...
 AlgebraHELP!!!!  When Amy drives her car to work, the trip takes 1/2 hour. ...
More Related Questions