Math (Grade 9)
posted by Rezu .
Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2km/h when going uphill, 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours, then what is the total distance she walks in km?
She walks 18km in total.

Math (Grade 9) 
Steve
using u,d,f for uphill, downhill, flat distances on the outward journey,
recall that time = distance/speed
she walks 9 km in each direction
(u/2 + f/3 + d/6) + (d/2 + f/3 + u/6) = 6
2u/3 + 2f/3 + 2d/3 = 6
u + f + d = 9
you are correct. the round trip is 18 km.
Respond to this Question
Similar Questions

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 … 
Math
Sigourney Weaver's average rate going uphill was 80% of her average rate going downhill over the same route, and it took Sigourney Weaver 10 minutes longer to go up the hill than to go down the hill. What was the total number of minutes … 
math
Jack and Jill run 10 kilometers. They start at the same point, run 5 kilometers up a hill, and return to the starting point by the same route. Jack has a 10minute head start and runs at a rate of 15 km/hr uphill and 20 km/hr downhill. … 
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 … 
@elena
i noticed you helped a lot of people with their questions with physics ? 
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 … 
Math
Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2km/h when going uphill, 6km/h when going downhill and 3km/h when on level ground. If her total walking time is 6 hours, what is the total … 
science
Jay is going to school. To reach the school, Jay need to go 3km going north. Then, he will head to the east at a distance 7km, then 3km going south and 2km going east. 1. Find the distance 2. Find the displacement 
science
Jay is going to school. To reach the school, Jay need to go 3km going north. Then, he will head to the east at a distance 7km, then 3km going south and 2km going east. 1. Find the distance 2. Find the displacement 
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?