SOLUTION: Solve and verify your answer. See Example 3. (Objective 1) A tourist can bicycle 39 miles in the same time as he can walk 9 miles. If he can ride 10 mph faster than he can walk, h

Algebra.Com
Question 1166628: Solve and verify your answer. See Example 3. (Objective 1)
A tourist can bicycle 39 miles in the same time as he can walk 9 miles. If he can ride 10 mph faster than he can walk, how much time should he allow to walk a 35-mile trail?
9 mi39 mi
Two images are displayed.
The first image depicts a person walking with an arrow underneath them pointing to the right. This image is labeled "t hr, r mph, 9 mi."
Directly below the first image, the second image depicts a person riding a bicycle with an arrow underneath pointing to the right. This arrow extends further than the first arrow. This image is labeled "t hr, (r +10) mph, 39 mi."
First, determine how fast he can walk.
Let r represent the rate in mph at which the tourist can walk. Write an expression in terms of r that represents the time, in hours, it takes him to walk 9 miles.

Write an expression in terms of r that represents the time, in hours, it takes him to bicycle 39 miles.

Recall that he can bicycle 39 miles in the same time that he can walk 9 miles. Use this information to write an equation that can be used to solve for r.

How fast (in mph) can he walk?
mph
How much time (in hr) should he allow to walk a 35-mile trail?
hr
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!
---------------------------------------------------------------------
A tourist can bicycle 39 miles in the same time as he can walk 9 miles. If he can ride 10 mph faster than he can walk, how much time should he allow to walk a 35-mile trail?
9 mi39 mi
Two images are displ,...
----------------------------------------------------------------------

The problem description seems the same as another one answered yesterday or day before. 
            SPEED         TIME       DISTANCE

BIKE        r+10          39/(r+10)     39

WALK         r            9/r            9

The two time quantities were given as equal.


-



---walking speed
-
----bicycling speed


The question is, how much time to do 35 miles by walking?




RELATED QUESTIONS

Solve and verify your answer. See Example 3. (Objective 1) A tourist can bicycle 39... (answered by josgarithmetic,Boreal)
A tourist can bicycle 33 miles in the same time as he can walk 12 miles. If he can ride 7 (answered by John10,swincher4391)
A tourist can bicycle 32 Miles in the same time as he can walk 6 miles. If he can ride 13 (answered by ikleyn)
A tourist can bicycle 28 miles in the same time as he can walk 8 miles. If he can ride 10 (answered by ikleyn)
A tourist can bicycle 52 miles in the same time as he can walk 20 miles. If he can ride 8 (answered by texttutoring)
A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can... (answered by TimothyLamb)
A woman can bicycle 69 miles in the same time as it takes her to walk 15 miles. She can... (answered by macston)
A woman can bicycle 88 miles in the same time as it takes her to walk 16 miles. She can... (answered by josgarithmetic)
A woman can bicycle 23 miles in the same time as it takes her to walk 5 miles. She can... (answered by ikleyn)