SOLUTION: Mary leaves her home driving at 60 mph. One hour later, Jim leaves his work during the same route at 70 mph. How long will it take Jim to catch Mary?

Question 640634: Mary leaves her home driving at 60 mph. One hour later, Jim leaves his work during the same route at 70 mph. How long will it take Jim to catch Mary?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Mary has a head start of mi
Start a stopwatch when Jim leaves
Let the time on the watch = hrs when
Jim catches Mary
Let = distance that Jim travels
to catch Mary
Mary's equation:
(1)
Jim's equation:
(2)
--------------
Substitute (2) into (1)
(1)
(1)
(1)
-----------
It will take 6 hrs for Jim to catch Mary
check:
(2)
(2)
(2) mi
and
(1)
(1)
(1) mi
OK
RELATED QUESTIONS
Paul leaves his house on a bike riding at 15 mph, one hour later, Ray leaves in his car... (answered by Paul)

Julie leaves home travelling at 45 mph. An hour later, her mom follows at 60 mph. How... (answered by checkley77)

Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home... (answered by scott8148,jdo1005)

Bill leaves Seattle at 2 P.M. traveling east on interstate 90 at 45 mph. Two hours later, (answered by richwmiller)

Candice Leaves on a road trip driving at 25 miles per hour . Four hours later , her... (answered by josmiceli)

Leaving from her house, Mary leaves Pittsburgh in her car traveling towards Cleveland at... (answered by stanbon)

Angie leaves Gunnison, driving at 45 mph. Beth leave one hour later driving the same... (answered by Alan3354)

A bus leave Sacramento traveling South at 40 mph. A half hour hour later, a car leaves... (answered by lwsshak3)

Shelia leaves on a long trip driving at a steady rate of 40 miles per hour. Her sister... (answered by fractalier)