Grade 11 Math Problem: Solving for Distance and Time on a Family Road Trip

  • Thread starter Thread starter might hire
  • Start date Start date
  • Tags Tags
    Grade 11
Click For Summary

Homework Help Overview

The discussion revolves around a Grade 11 math problem involving a family's road trip, where they travel a total distance of 880 km over 10 hours, with different speeds on highways and city roads. The original poster seeks assistance in determining the time spent on each type of road.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formulation of equations based on the problem's context, with some clarifying the equations needed to solve for time on highways and city roads. There are questions about the setup and the method of solving the equations, including substitution and manipulation of the equations.

Discussion Status

Participants are actively engaging with the problem, offering various approaches and checking assumptions. Some have provided guidance on methods like substitution, while others express uncertainty about their suggestions. There is a mix of interpretations regarding the equations and their implications.

Contextual Notes

There is mention of specific speeds and total distance, as well as the requirement to find the time spent on each type of road. The original poster has indicated a need for clarification on the equations involved.

might hire
Messages
12
Reaction score
0
I have a question, a huge one but simply it is.. A family goes on a ten hour drive, 100km an hour on highways(x) and 60km(y) an hour on city roads.
100x+60y+880, and
x+y=10

Just need a push in the right direction. Thanks in advance.
 
Physics news on Phys.org
By the way, I have to find the hours in which they drove on each road type.
 
what is the question?
 
Did you really mean 100x+60y=880? If so, what you have are 2 equations in 2 unknowns. Have you covered how to solve these types of problems?
 
The bastow family drove to visit relatives. They drove a total of 880km in 10 hours. Their average speed was 100km on highways and 60km in the city. Let the time traveling on highways be "x" hours and the time on city roads be "y" hours. An equation that represents the total difference traveled is 100x+60y=880. An equation that represents the total traveling time is x+y=10.
a) What time was spent traveling highways?
b) What time was spent traveling city roads?
 
yah, 100x+60y=880, sorry about that.
 
We were taught substitution.
 
There you go!
 
i don't exactly remeber you could try it this way tho
take the second equation multipy iy by 100 so that x will be it will be 100x+100y=1000 put that direclty below the second equation subtract u will be left with 0 for the x then solve for y then plug y abck into the equation

sumone correct me if I am wrong because I am not sure if it works for that type of problem but i use that in geometry.
you cna alwyas try and cehck the answers in the book
 
  • #10
Oh man, jeeze, I can't believe I forgot that, thanks so much! :) You've both helped a heck of a lot!
 
  • #11
The final answer is (3,7)
 
  • #12
i can't help but feel that i ahve made a difference in sumone elses life today
 
  • #13
lmao, you sure have:D
 
  • #14
I'll pass the favor on tommorow:) Keep the chain going.
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
6K
Replies
1
Views
6K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 48 ·
2
Replies
48
Views
13K
  • · Replies 71 ·
3
Replies
71
Views
14K
  • · Replies 175 ·
6
Replies
175
Views
29K