VNS,Math
posted by Nahar .
A man walked into the road at 4 miles per hour and returned over the same road at the rate of 3 miles per hour. If he completed the entire trip in 7/2 hours,how far in miles in to the roads did he walk?

let distance he went each way be x miles
time for first leg = x/4
time for 2nd leg = x/3
x/4 + x/3 = 7/2
times 12
3x + 4x = 42
x = 6
he went 6 miles into the road
check:
time for 1st part = 6/4 hrs
time for 2nd part = 6/3 hrs
and 6/4 + 2 = 3/2 + 2 = 7/2
Respond to this Question
Similar Questions

Math
A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclistâ€™s average rate for the round trip in miles per hour? 
math
substitute to find the value of the expression. A train must cover a distance of 2398 miles. The velocity, in miles per hour, of the train is where t is the time,in hours, to complete the trip. If the train completes the trip in 22 … 
Math
A semitruck travels on a paved road for 2 hours at an average speed of 20 miles per hour faster than it travels on a dirt road. The time spent on the dirt road is 3 hours. If the entire trip is 200 miles, how fast is the truck traveling … 
math
A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? 
math
18. A cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. What is the cyclist's average rate for the round trip in miles per hour? 
math
From a point on a straight road, two cars are driven in opposite directions, one at 44 miles per hour and the other at 35 miles per hour. In how many hours will they be 237 miles apart? 
math
A boy travels on his bicycle at the rate of 6 miles per hour and his sister on hers at the rate of 5 miles per hour. They start at the same time and place and travel over the same road in the same direction. After traveling for 3 hours, … 
maths
A motorist travels 120 miles to his destionation at an average speed of 60 miles per hour and returns to the starting point at an average speed of 40 miles per hour.His average speed for the entire trip is 1. 53 miles per hour 2. 52 … 
Math Multistep word problems
A canoe in still water travels at a rate of 10 miles per hour. The current today is traveling at a rate of 3 miles per hour. If it took an extra hour to travel upstream, how far was the trip one way? 
Math
A bird leaves his nest and travels 20 miles per hour downward for x hours. On the return trip the bird travels 4 miles per hour slower and has six miles left after x hours. What is the distance of the entire trip?