SOLUTION: Two men are driving. One is travelling 70 mph, and the other is travelling 98 mph. The faster one is 14 miles behind the one that is going 70 mph. How long will it take the faster

Question 696356: Two men are driving. One is travelling 70 mph, and the other is travelling 98 mph. The faster one is 14 miles behind the one that is going 70 mph. How long will it take the faster one (98mph) to catch up to the slower one (70mph)?
--I tried the problem already and I got 1/2 an hour. I'm unsure though because I'm very uneasy with word problems. Thanks!
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Try it this way:
Start a stopwatch when the faster one is
exactly 14 miles behind the slower one.
You will hit the stopwatch when the
faster one has caught the slower one.
Call the time on the stopwatch ( in hours )
----------------------------------------
Let = distance in miles that the slower one
travels until he is caught.
----------------------
Equation for slower one:
(1)
Equation for faster one:
(2)
------------------
Substitute (1) into (2)
(2)
(2)
(2)
The faster one catches the slower one
in a half hour.
Looks like you did it right.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Two men are driving. One is travelling 70 mph, and the other is travelling 98 mph. The faster one is 14 miles behind the one that is going 70 mph. How long will it take the faster one (98mph) to catch up to the slower one (70mph)?
-------------
The faster car is gaining on the other at 28 mi/hr (98 - 70)
t = d/r
t = 14/28 = 1/2 hour

RELATED QUESTIONS
Two cars that are 550 miles apart are travelling towards each other. One is travelling 10 (answered by josmiceli)
Two airplanes leave Dallas, Texas travelling in opposite directions, one is travelling... (answered by stanbon)
two missiles speed directly at each other. One is travelling 9000 mph, the other is... (answered by Alan3354)
A two motorcycle leave the same place and travelled in opposite directions. If one... (answered by ikleyn,richwmiller)
Two cars are travelling in the same direction on the road. The car that leads is... (answered by greenestamps)
Two truck drivers leave a cafe at the same time, travelling in opposite directions.... (answered by ikleyn)
two planes leave chicago at 8am, one traveling west at a speed 75 mph faster than the... (answered by Paul)
its 5am 2 trains are 1,560 miles apart traveling on parallel track towards each other.... (answered by Alan3354)
two cars leave a city on the same road, one driving 12 mph faster the the other. After 4... (answered by stanbon)