Two hours after a truck leaves phoenix traveling 45 miles per hour, a car leaves to overtake the truck. if it takes the car ten hours to catch the truck, what was the car's speed?

Respuesta :

Answer:

The correct answer is 54 miles per hour

Step-by-step explanation:

To solve this problem we have to use the formula of

Speed=Distance/time

Both, car an truck made the same distance,  so

Distance car=Speed car*time car

Distance truck =Speed truck*time truck  

Distance car=Distance truck

So Speed car*time car =Speed truck*time truck  

Speed car =Speed truck* time truck /time car

Time truck = time car +2 ( truck leaves 2 hours before)

Time car =10

Speed car =45 miles per hour* 12 /10

Speed car = 54 miles per hour