Two cars start from towns 700 mi apart and travel toward each other. They meet after 7 hr. Find the speed of each car if one travels 10 mph faster than the other.

Guest Feb 14, 2020

#1**+2 **

Distance car 1 traveled = x

Distance car 2 traveled = y

Use formula d=rt

Total distance traveled for both cars = 700

x + y = 700

speed = s

7s = x

7(s + 10) = y

Substitute

7s + 7s + 70 = 700

14s = 630

s = 45

Car 1's speed is 45 mph

Car 2's speed is 55 mph

done

CalculatorUser Feb 14, 2020

#2**+2 **

AoPS doesn't have much good math problems currently, as everyone is crying over their AMC 10 score lol. So I came back here

CalculatorUser
Feb 14, 2020

#5**-1 **

Yeah, me too! 52.5 pts for a sixth grader. SOBS!

Don't worry, I'm fine, and PLEASE don't give me any comfort.

Would you like comfort?

hugomimihu
Feb 14, 2020

#6**0 **

its ok i got a 56 as a 7th grader... ^{we dont talk abou that...}

i probably only improved like 20 this time around....

eh who cares its not like it matters anyways im only in middle school

CalculatorUser
Feb 14, 2020

#3**+2 **

Best Answer

Let the speed of one car =S

The speed of the other =S + 10

7S + 7(S + 10) = 700, solve for S

**S =45 mph - speed of one car 45 + 10 =55 mph - speed of the 2nd car.**

Guest Feb 14, 2020

#7**+1 **

Two cars start from towns 700 mi apart and travel toward each other. They meet after 7 hr. Find the speed of each car if one travels 10 mph faster than the other.

**700 ml / 7hr = 100 mph = 45mph + 55mph**

**700 / 7 = 100 100 / 2 = 50**

**1) 50 - 5 = 45 mph**

**2) 50 + 5 = 55 mph **

Guest Feb 14, 2020

edited by
Guest
Feb 14, 2020