Two cars pass each other on a freeway at 6:30 a.m. The car driving north is
traveling at an average speed of 60 mph and the car driving south is traveling at an
average speed of 40 mph. At what time will they be 25 miles apart?

Respuesta :

Answer:

The time 2 cars will they be 25 miles apart is 6:45am

Explanation:

Since the cars are travelling in opposite direction  

Total distance which will be covered= distance covered by car 1+ distance covered by car 2

Since

Average Speed= [tex]\frac{Total Distance}{Total time}[/tex]

Suppose  total time is taken as x

Total distance covered by car1 = average speed of car1[tex]\times[/tex] total time

= 60x

Similarly

Total distance covered by car2= average speed of car2 [tex]\times[/tex]total time

=40x

Now as we know that the total distance covered is 25 miles

Therefore

Total distance covered = 60x+40x

25=100x

X= [tex]\frac{25}{100}[/tex]

X= [tex]\frac{1}{4}[/tex]hour

[tex]\frac{1}{4}[/tex] [tex]\times[/tex] 60 = 15mins

Hence  it will be 6:45am when they will be 25 miles apart

Answer:

6:45

Step-by-step explanation: