# Algebra II

posted by .

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.

• Algebra II -

time = distance/speed

If his downhill speed is s,
8/s + 8/(s-3) = 4
s = 6

check:
8 miles @ 3mph = 8/3 hr
8 miles @ 6mph = 4/3 hr
total: 4 hr

## Similar Questions

1. ### math..word problem

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.
2. ### 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.
3. ### 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 …
4. ### 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 …
5. ### @elena

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

A car is coasting backwards downhill at a speed of 2.6 m/s when the driver gets the engine started. After 2.5 s, the car is moving uphill at 4.6 m/s. Assuming that the uphill is the positive direction, what is the car's average acceleration?
7. ### physics

1. A car is coasting backwards downhill at a speed of 3.0 m/s when the driver gets the engine started. After 2.5 s, the car is moving uphill at 4.5 m/s. Assuming that uphill is positive direction, what is the carâ€™s average acceleration?
8. ### Algebra

The boat travels 60 miles to an island and the same 60 miles coming back. Changes in the wind and tide made the average speed on the return trip 3 mph slower than the speed on the way out. If the total time of the trip took 9 hours, …
9. ### Algebra

a boat travels 60 miles to an island and 60 miles back again. The return trip is 3 mph slower than the speed on the way out. The total time of the trip took 9 hours. Find the speed going to the island and the speed of the return trip.
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