SOLUTION: One car leaves NY, traveling at an average speed of 65 mph and arrives in NJ. A second car travel the same route, but at 55 mph and takes an hour longer to get there. 1) How long

Question 395581: One car leaves NY, traveling at an average speed of 65 mph and arrives in NJ. A second car travel the same route, but at 55 mph and takes an hour longer to get there. 1) How long did it take for each car to get to NJ and 2) how far is it away from NY?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One car leaves NY, traveling at an average speed of 65 mph and arrives in NJ.
A second car travels the same route, but at 55 mph and takes an hour longer to get there.
1) How long did it take for each car to get to NJ?
Let t = time required by the faster car to get there
then
(t+1) = time required by the slower car
:
Both cars traveled the same distance, write a dist equation: dist = speed * time
65t = 55(t+1)
65t = 55t + 55
65t - 55t = 55
10t = 55
t =
t = 5.5 hrs travel time of the faster car
then obviously, 6.5 hrs travel time of the slower
;
:
2) how far is it away from NY?
Find the dist using the faster car
65 * 5.5 = 357.5 mi
Check this distance using the slower car
55 * 6.5 = 357.5 mi
RELATED QUESTIONS
A truck leaves Gaston at noon traveling 55 mph. An hour later, a car leaves Gaston... (answered by aaronwiz)

Students are traveling in two cars to a football game 135 miles away. The first car... (answered by checkley77)

Students are traveling in two cars to a football game 135 miles away. The first car... (answered by htmentor,amoresroy,richwmiller)

Students are traveling in two cars to a football game 135 miles away. The first car... (answered by ankor@dixie-net.com)

Two carloads of friends are driving cross-country from Connecticut to San Francisco. One... (answered by Stitch)

a moving van leaves a house traveling at an average rate of 33 mi/h. The family leaves... (answered by josgarithmetic)

Students are traveling in two cars to a football game 135 miles away. The first car... (answered by scott8148)

Students are traveling in two cars to a football game 135 miles away. The first car... (answered by josmiceli)

A car leaves a station, traveling west at 55 mph. A truck leaves the same station one... (answered by stanbon)