SOLUTION: Two executives in cities 400 miles apart drive to a business meeting at a location on the line between their cities. They met after 4 hours. Find the speed of each car if one trave

Question 485924: Two executives in cities 400 miles apart drive to a business meeting at a location on the line between their cities. They met after 4 hours. Find the speed of each car if one travels 20 miles per hour faster than the other.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Two executives in cities 400 miles apart drive to a business meeting at a location on the line between their cities. They met after 4 hours. Find the speed of each car if one travels 20 miles per hour faster than the other.
=============================================================================
Let d = the distance traveled by the slower car
Then the distance traveled by the faster car = 400-d
Let v = the speed of the slower car
Then v+20 = the speed of the faster car
Since speed = distance/time, and the time is 4 hrs, we can write the following 2 equations:
v = d/4 [1]
v+20 = (400-d)/4 [2]
Solve for d in [1] and substitute into [2]:
v+20 = (400-4v)/4
v+20 = 100-v
2v = 80
v = 40 mph
Therefore, the faster car's speed = 60 mph

RELATED QUESTIONS
WORK 3)Two executives in cities 400 miles apart drive to a business meeting at a... (answered by sudhanshu_kmr)

two executive in cities 300 mi apart drive to a business meeting at a location between... (answered by amoresroy)

Tom and Gary are leaving the same town for a meeting in different cities. However, they... (answered by lwsshak3)

Tom and Gary are leaving the same town for a meeting in different cities. However, they... (answered by ramkikk66)

the actual distance between cities is proportional to their measured distance on a map.... (answered by stanbon,solver91311)

The number of long distance calls between two cities in a certain time period varies... (answered by stanbon)

Two cities on a map were 2 1/4 in. apart. The cities are actually 56.25 miles apart.... (answered by akmb1215)

Sam drives from City A to City B, and Richard drives from City B to City A on the same... (answered by ikleyn)

On a map, two cities are 3 � inches apart. If 3/8 inches on the map represents 50 miles,... (answered by mananth)