SOLUTION: I've been stuck on this question for awhile and I'm confused: Two families are traveling by car to a camp 280 kilometers away. One family leaves 20 minutes ahead of the other fa

Algebra.Com
Question 93572: I've been stuck on this question for awhile and I'm confused:
Two families are traveling by car to a camp 280 kilometers away. One family leaves 20 minutes ahead of the other family and travels at an average speed of 40 kilometers per hour. What would the speed of the second family's car need to be if the family is to reach the camp at the same time as the first family?
They give me a hint here: (Set up the equation and solve by substitution.)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Two families are traveling by car to a camp 280 kilometers away.
One family leaves 20 minutes ahead of the other family and travels at an average speed of 40 kilometers per hour.
What would the speed of the second family's car need to be if the family is to reach the camp at the same time as the first family?
---------------------
1st family DATA:
Rate = 40kph ; distance = 280 km ; time = d/r = 7 hrs
-----------------------
2nd family DATA:
Time = x hrs ; Distance = 280 km ; Rate = d/t = 280/x kpm
-----------------------
EQUATION:
1st car time - 2nd car time = (1/3) hr
7 - x = 1/3
x = 20/3 hrs
----------
Then Rate of 2nd car = 280/x = 280/(20/3) = 14*3 = 42 kpm
===================
Cheers,
Stan H.




---------------
Rate of the 2nd car is 42 kph
================
Cheers,
Stan H.

RELATED QUESTIONS

Two families are traveling by car to a camp 280 kilometers away. One family leaves 20... (answered by ikleyn)
"Two families are traveling by car to a camp 280 kilometers away. One family leaves 20... (answered by stanbon)
Two families are traveling by car to a camp 280km away. One family leaves 20 minutes... (answered by ankor@dixie-net.com)
You can afford a $1300 per month mortgage payment. You've found a 30-year loan at 7%... (answered by Theo)
evaluate the expression described below if the number is nine two times the difference... (answered by rwm)
John has 10 coins that total $0.83.What are the coins? I have been stuck on this for... (answered by ikleyn,ankor@dixie-net.com)
Hello, I am confused on this question | q - 8 | = 14 , I've tried it but I've gotten... (answered by josgarithmetic,MathTherapy,ikleyn)
Calculate the average rate of change between x = 4 and x = 8 for the function: f(x) =... (answered by MathLover1)
The sum of two consecutive even integers is 22. Find the integers. I have been trying... (answered by Alan3354)