Question

Two cars start from towns 440 miles apart and travel toward each other. they meet after 4 hr. find the speed of each car if one travels 10 mph faster than the other

Answer 1

Use the d=rt equation, where d = distance, r=rate, and t= time.
That plus you know that their distance traveled in 4 hrs will sum up to 440 miles. this coupled with the fact that the rate of one car is 10 mph more than the other.

Answer 2

now use your algebra knowledge and solve the problem.

Answer 3

how would I set up the equation?

Answer 4

d = rt
let r = the rate of the slower car in mph. Then the other car would be (r + 10)
You have been given that t = 4 hrs.
and d = 440 miles.
Do I need to show you anything else?

Answer 5

turning what you said into an actual equation plz

Answer 6

440 = 4r + 4(r + 10)
This is a procedure you must get to know, setting up the equation. Now just solve for r

Answer 7

Solve for r getting speed of slow car.
Add 10 to r to get the speed of the faster car.

Answer 8

is it 440=4r+4r+40?

Answer 9

Yes, you are on track.

Answer 10

do the math.

Answer 11

440=8r+40?

Answer 12

still on track and closer to solution.

Answer 13

are you stuck?

Answer 14

yea I need the speed of both cars the slower and faster one. so I did 440=8r+40 and I am pretty sure I have to subtract 8 but where do I subtract 8 from

Answer 15

i mean subtract 40

Answer 16

The next step is to add the r's getting 4r+4r or 8r
the next next step is to subtract 40 from both sides of the = sign
this leaves you with 8r = 400 Finally divide both sides by 8 giving you the value of r
These are using the rules of algebra.

Answer 17

Yes you are on track.!

Answer 18

What do you get for r
What do you get for r + 10 ??

Answer 19

when i have 8r=400 i divided and got 50

Answer 20

Yes that is the value of r.........in miles per hour (mph) that was the speed of the slower car. Have you solved for the fast car?

Answer 21

no how do i solve for the fast car

Answer 22

Please read my previous posts, I have told you how to determine the speed of the faster car!!

Answer 23

In fact the problem tells you the speed of the faster car when you know the speed of the slower car.

Answer 24

wouldn't it be 60 mph faster car

Answer 25

Yes, great keep practicing the rules for algebra.