Problem Solving 2 - linear Equation

Click For Summary
SUMMARY

The discussion focuses on solving a linear equation related to a problem involving an army marching at 5 mi/hr and a messenger riding at 10 mi/hr. The total time for the messenger's round trip from the front to the rear of the column is 10 minutes. To determine the distance between the front and rear of the column, one must set up an equation using the relative speed of the messenger compared to the soldiers. The key to solving the problem lies in understanding the two trips the messenger makes and calculating the effective speed during each leg of the journey.

PREREQUISITES
  • Understanding of linear equations
  • Knowledge of relative speed concepts
  • Basic arithmetic for time and distance calculations
  • Familiarity with unit conversions (minutes to hours)
NEXT STEPS
  • Study the concept of relative speed in motion problems
  • Learn how to set up and solve linear equations
  • Explore time-distance-speed relationships in physics
  • Practice similar problems involving round trips and varying speeds
USEFUL FOR

Students in mathematics, educators teaching linear equations, and anyone interested in solving motion-related problems in physics.

paulmdrdo1
Messages
382
Reaction score
0
here's the other problem.

1. An army of soldiers is marching down a road at 5 mi/hr. A messenger on horseback rides from the front to the rear and returns immediately, the total time taken being 10 minutes. Assuming that the messenger rides at the rate of 10mi/hr, determine the distance from the front to the rear.

I don't understand what's going in the problem. and what is it really requiring to solve. front of what and rear of what?

thanks!
 
Mathematics news on Phys.org
paulmdrdo said:
I don't understand what's going in the problem. and what is it really requiring to solve. front of what and rear of what?
Front and rear of the column of soldiers. You have to find the length of the column.
 
how do I set-up the equation?
 
the messenger took two trips, front-rear and rear-front. Take the relative speed of the messenger and the column of soldiers then use it as the rate of each trip. :o
 

Similar threads

MHB Word problem: Finding The Length Of A Column Of Marching Soldiers
  • · Replies 3 ·
Replies
3
Views
2K
MHB Find the diameter of a circle given linear velocity?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad The Price of Beer - Linear Algebra Problem
  • · Replies 44 ·
2
Replies
44
Views
5K
Undergrad How do you solve systems of equations in complex physics problems?
  • · Replies 6 ·
Replies
6
Views
2K
MHB Linear profit, graphs and equations.
  • · Replies 1 ·
Replies
1
Views
2K
MHB Solving Word Problem - Linear equations
  • · Replies 9 ·
Replies
9
Views
5K
High School What unique contributions to math did linear algebra make?
  • · Replies 19 ·
Replies
19
Views
4K
MHB Solving a Trigonometric Equation
  • · Replies 11 ·
Replies
11
Views
3K
MHB Finding Constraints in Polynomial Data: How Many Linear Equations Are Needed?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Green's function for problems involving linear isotropic media
  • · Replies 3 ·
Replies
3
Views
1K