SOLUTION: two cars (car 1 and car 2) are driving down the highway. Car 1 is moving at 60 miles per hour. Car 2 is driving at 70 miles per hour . Car 1 is starting 40 miles ahead of car 2 .Ho

Question 522320: two cars (car 1 and car 2) are driving down the highway. Car 1 is moving at 60 miles per hour. Car 2 is driving at 70 miles per hour . Car 1 is starting 40 miles ahead of car 2 .How long will it take car 2 to catch up to car 1.

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
two cars (car 1 and car 2) are driving down the highway. Car 1 is moving at 60 miles per hour. Car 2 is driving at 70 miles per hour . Car 1 is starting 40 miles ahead of car 2 .How long will it take car 2 to catch up to car 1.

Without algebra in your head:
For car 2 to make up the 40 mile distance at an approach rate of 70-60 or 10mph
will of course take 4 hours.

By algebra:  
Make this chart:

         Distance     Rate    Time
Car 1                           
Car 2                           

Let the time for both be x hours:

         Distance     Rate    Time
Car 1                           x
Car 2                           x

Fill in the given rates (speeds):

         Distance     Rate    Time
Car 1                  60       x
Car 2                  70       x

Use Distance = rate � time to fill in the
distances:


         Distance     Rate    Time
Car 1      60x         60       x
Car 2      70x         70       x

The equation comes from the fact that Car 2 will have 
to travel 40 miles more than Car 1 in order to catch up.

           =  + 40 miles

              70x = 60x + 40
              10x = 40
                x = 4 hours

Edwin

RELATED QUESTIONS
two cars are driving on same highway. car a is 5 miles ahead of car b and is travling at... (answered by Fombitz)

Car 1 is driving at 7 miles per hour. Car 2 is driving at 60 miles per hour. The... (answered by josgarithmetic,addingup)

Two cars driving on opposite sides of the freeway are 20 miles apart and moving directly... (answered by rapaljer)

Two cars are 720 miles apart. Car 1 is traveling towards car 2 at 40 miles per hour and... (answered by JulietG)

Car A and Car B are traveling on the highway. Car A is traveling at 70 miles per hour,... (answered by josgarithmetic,ikleyn)

Jeffs car is driving at 54 miles per hour. Jennas car is moving at 123 yards per minute.... (answered by josgarithmetic)

California 1 South is a historical highway that stretches 123 miles along the coast from... (answered by Alan3354)

The mileage reading on the odometer of car "A" is 31,250 and on car "B" is 30,990. Martha (answered by scott8148)