# math..word problem

posted by .

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..word problem -

time(up) = distance/rate = d/15
time(down) = d/r = d/30
Add time up to time down to get
(d/15)+(d/30) = total time = 4.
Solve for d.
[Remember: time(up) + time(down) = 4.0 hr]

## Similar Questions

1. ### math

distance = rate x time or d = r*t car traveling 40 mi/hr goes 40 mi/hr x 1.5 hrs head start or 60 miles head start. Let t = time bus and car travel. car travels distance of r*t = 40*t. Car already had 60 mi head start. Total distance …
2. ### math

The math team in addville travled to subtractville for a math compertition. The bus averaged 40 mph from addville to subtractville but adveraged 60 mph during the return trip. What was the adverage speed of the bus for the entire trip?
3. ### Math

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.
4. ### algebra

Marlene rides her bycicle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6mph on level grond, 4mph when going uphill and 12mph when going downhill. If her total riding time …
5. ### h.s. physics

In putting, the force with which a golfer strikes a ball is planned so that the ball will stop within some small distance of the cup, say 2.00m long or short, in case the putt is missed. Accomplishing this from an uphill lie (that …
6. ### @elena

i noticed you helped a lot of people with their questions with physics ?
7. ### math

Erica's average rate going uphill was 80% of her average rate going downhill over the same route, and it took Erica 10 minutes longer to go up the hill than to go down the hill. What was the total number of minutes Erica spent going …
8. ### Algebra II

A runner completes a 16 mile trip, running 8 miles uphill and 8 miles downhill in a total of 4 hours, if his uphill speed is 3 mph slower than his downhill speed, find his downhill speed.
9. ### algabra

a train and a bus leave at 10:00 a.m. from towns 45 mi apart. they travel toward each other. the bus travels at 40 mph. the train travels at 50 mph. at what time do they meet?
10. ### Math

A train goes twice as fast downhill as it can go uphill, and 2/3 as fast uphill as it can go on level ground. If it goes 120 mph downhill, how long will it take to travel 45 miles on flat land?

More Similar Questions