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?

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