SOLUTION: Mr.Black leaves Chicago at 8:00 a.m. and drives north on the highway at an average speed of 50 miles per hour. Mr.Smith leaves Chicago at 8:30 a.m. and drives along the same highwa

Algebra ->  Expressions-with-variables -> SOLUTION: Mr.Black leaves Chicago at 8:00 a.m. and drives north on the highway at an average speed of 50 miles per hour. Mr.Smith leaves Chicago at 8:30 a.m. and drives along the same highwa      Log On


   

Question 186866: Mr.Black leaves Chicago at 8:00 a.m. and drives north on the highway at an average speed of 50 miles per hour. Mr.Smith leaves Chicago at 8:30 a.m. and drives along the same highway at an average speed of 60 mph. At what time will Mr. Smith overtake Mr.Black?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
50x=60(x-.5)
50x=60x-30
50x-60x=-30
-10x=-30
x=-30/-10
x=3 hours after Mr. Black leaves they will meet.
Proof:
50*3=60(3-.5))
150=60*2.5
150=150