SOLUTION: Write an equation to represent each sentence 1.Two cars leave the hotel at the same time and travel in opposite direction. If one car travels at an average speed of 72 kph and th

Algebra ->  Finance -> SOLUTION: Write an equation to represent each sentence 1.Two cars leave the hotel at the same time and travel in opposite direction. If one car travels at an average speed of 72 kph and th      Log On


   

Question 1190116: Write an equation to represent each sentence
1.Two cars leave the hotel at the same time and travel in opposite direction. If one car travels at an average speed of 72 kph and the other at 11 kph faster than the first, how long will it take for them to be 372 kilometers apart?
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

speed of car A = 72 kph
speed of car B = 72+11 = 83 kph

Use this formula
distance = rate*time

After x hours, car A has traveled 72x kilometers and car B has traveled 83x kilometers.

They are traveling in opposite directions, which means the distance between them is the sum of their individual distances traveled. Use a number line to help see this.

The distance between them after x hours is
72x+83x = 155x

Set this equal to the 372 km mentioned and isolate x
155x = 372
x = 372/155
x = 2.4

Answer: 2.4 hours