SOLUTION: Remy walked to a friend's house, m miles away, at an average rate of 4 mph. The m-mile walk home was only at 3 mph. Remy spent 2 hours walking in all. Find the value of m.

Question 758049: Remy walked to a friend's house, m miles away, at an average rate of 4 mph. The m-mile walk home was only at 3 mph. Remy spent 2 hours walking in all. Find the value of m.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Remy walked to a friend's house, m miles away, at an average rate of 4 mph. The m-mile walk home was only at 3 mph. Remy spent 2 hours walking in all. Find the value of m.
-----
Going DATA: distance = m miles ; rate = 4 mph ; time = d/r = m/4 hours
----
Return DATA: distance = m miles ; rate = 3 mph ; time = d/r = m/3 hours
------
Equation:
time + time = 2 hrs
m/4 + m/3 = 2
3m + 4m = 24
7m = 24
m = 24/7 = 3 3/7 miles
=======================
Cheers,
Stan H.
RELATED QUESTIONS
Karen jogged at an average rate of 8 mph from her house to school. She walked home at a... (answered by TimothyLamb)

Jodi and her friend Marcos decided to meet at the park since it was exactly 1 mile from... (answered by richwmiller)

Suppose Henry biked from his house to his friend Peter's home at an average rate of 12... (answered by ankor@dixie-net.com)

You walk fro your home to the post office at an average rate of 3 mph. You then walk back (answered by ewatrrr,richard1234)

Vera walked from her home to a friend's home at a rate of 3 miles per hour. She rode to... (answered by stanbon)

A motorist travels 120 miles from Antwerp to Brussels at an average speed of 48 mph. She... (answered by ReadingBoosters)

Vera walked to a friends house at a rate of 3 miles per hour. Then they rode to work at... (answered by josmiceli)

You walk an average 3.2 mph on the way to school, and at an average of 4 mph on the way... (answered by ikleyn)

A backpacker hiking into the wilderness area walked 9 miles at a constant rate and then... (answered by stanbon,drk,JimboP1977)