Answered

IDNLearn.com offers a comprehensive platform for finding and sharing knowledge. Join our community to receive prompt and reliable responses to your questions from experienced professionals.

Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The cars are 500 mi apart in 5 h. How fast is each car traveling?

Sagot :

AL2006idn
The speed of one car is 'S'.  The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels  5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S  +  5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = 45

S + 10 = 55
Teehartinegridn

Let one car travel at x mph

The other car travels at x+10 mph

Their combined speed is 2x+10 mph.

Distance = 500

time = 500 /2x+10 =5

10x+50=500

10x= 450

x=45 speed of one car

The other car travels at 45+10 = 55 mph

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.