<PRE><B>Question 915729</B>
A car leaves St. Paul, Minnesota at 4 pm. A bus leaves the same place at 5 pm and travels in the same direction as the car. the car is 12 mph faster than the bus. at 8 pm the vehicles are 100 mi apart. What is the speed of each vehicle? 


A car leaves St. Paul, Minnesota at 4 pm.
 A bus leaves the same place at 5 pm and travels in the same direction as the car. speed =x mph
 the car is 12 mph faster than the bus. (x+12) mph

d= rt
Car time = 4 hours 
distance traveled = 4(x+12)

Bus time = 3 hours
Bus distance = 3x

Difference between  them = 100 miles


4(x+12)-3x=100

4x+48-3x=100

x=52 

Bus speed = 52 mph
car speed = 52 +12 = 64 mph

CHECK

64*4 -52*3=100

 


at 8 pm the vehicles are 100 mi apart. What is the speed of each vehicle? 
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