Increasing speed by 5 mph saves 10 mins?

  • Thread starter Thread starter KingNothing
  • Start date Start date
  • Tags Tags
    Increasing Speed
Click For Summary

Homework Help Overview

The discussion revolves around a problem involving distance, speed, and time, specifically examining how increasing speed by 5 mph results in a time savings of 10 minutes over the same distance.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss setting up equations based on the relationship between speed, time, and distance. There is an emphasis on establishing two equations for the two trips, noting that the distances are equal. Some participants express difficulty in solving the equations and seek further assistance.

Discussion Status

Some guidance has been offered regarding the setup of equations, but there is no explicit consensus on the solution. Participants are actively engaging with the problem, with some requesting help to clarify their attempts at solving the equations.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the type of assistance they can receive. There is a noted challenge in deriving the correct expressions for time based on their attempts.

KingNothing
Messages
880
Reaction score
4
If a person drives the same distance twice, and saves 10 mins by driving 5mph more the second time, what is the distance and the speeds?
 
Physics news on Phys.org
Speed * time = distance.

Set up two equations -- one for each trip -- and notice that the distances are equal. Thus, you can set the equations equal to each other, arriving at:

Speed1 * time1 = speed2 * time2.

You know that speed2 = speed1 + 5, and that time2 = time1 - 10.

Put these equations together and solve for distance...

- Warren
 
Can you work through it for me? I keep getting time1=10+2*speed1...
 
KingNothing said:
Can you work through it for me? I keep getting time1=10+2*speed1...
Write out your full two equations and show how you are trying to solve them.
 

Similar threads

Measurements Calculation Problem
  • · Replies 3 ·
Replies
3
Views
1K
How Long for a Beam of Light to Reach Earth?
  • · Replies 21 ·
Replies
21
Views
2K
Speed/Distance/Time + Fuel Consumption
  • · Replies 4 ·
Replies
4
Views
7K
Momentum: why don't the two carts become one?
  • · Replies 32 ·
2
Replies
32
Views
2K
Poiseuille equation for water flow rate
  • · Replies 16 ·
Replies
16
Views
3K
Average Acceleration and Speed
  • · Replies 1 ·
Replies
1
Views
2K
Momentum: instantaneous or average?
  • · Replies 9 ·
Replies
9
Views
2K
Trying to get an average speed of 60 MPH
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Energy requirements of a 4 wheel drive boat
  • · Replies 20 ·
Replies
20
Views
2K
Help with question on motion: Avoiding a rear-end collision
  • · Replies 6 ·
Replies
6
Views
3K