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 4-t hours
(I hope this somehow lined up)
but the distance is the same, so
15t = 30(4-t)
15t = 120 - 30t
45t = 120
t = 8/3
distance = 15t = 15(8/3)
= 40 km
Answer This Question
More 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 ...
- Algebra-HELP!!!! - When Amy drives her car to work, the trip takes 1/2 hour. ...