Calculating Average Speed: Solving the Wedding Day Conundrum

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Homework Help Overview

The discussion revolves around calculating the average speed required to reach a destination on time, specifically in the context of a wedding day scenario. The problem involves a trip of 9.0 miles to a church, with an initial delay due to construction that affects the average speed for part of the journey.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the distance traveled during the first part of the trip and expresses confusion about how to determine the necessary average speed for the remaining distance. Some participants suggest clarifying the formula for average velocity and emphasize the importance of consistent units. Others explore the implications of the time constraints on the average speed calculation.

Discussion Status

The discussion is ongoing, with participants providing guidance on the formula for average velocity and unit conversions. There is an exploration of different interpretations of the problem, particularly regarding how to apply the average speed formula to the remaining distance and time.

Contextual Notes

Participants are working under the constraints of a specific time limit (18 minutes) to cover the remaining distance (7.5 miles) and are questioning the assumptions related to unit conversions and the application of the average speed formula.

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On your wedding day you leave for the church 36 minutes before the ceremony is to begin, which should be plenty of time since the church is only 9.0 miles away. On the way, however, you have to make an unanticipated stop for construction work on the road. As a result, your average speed for the first 18 minutes is only 5.0 mi/h. What average speed do you need for the rest of the trip to get you to the church on time?

I have tried to complete this problem several times, and I have failed, it is getting pretty frustrating, here is what I have done.

Average Speed = [Distance][Time]

18 minutes / 5 mi/h = 3.6 miles traveled?

36-18 = 18 minutes more to travel 5.4 miles!





Now there is 5.4 miles left to be traveled. How in the heck do I figure out what my average speed needs to be to travel this within 18 minutes!?
Im seriously confused and lost, please help!
 
Last edited:
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The correct formula is average velocity = distance/time.
Also remember to keep everything in the same units. Either make everything hours or everything minutes.
 
Still Lost!

Im still lost, even if Average Velocity = [Distance][Time] how do I figure out how fast I have to travel within the given time? if what you said is true, I can convert 18 minutes to hours by dividing 18/60 which gives me .3

.3hrs x 5.0 m/h = 1.5mi traveled?

So now I have 7.5 miles left to travel within 18 minutes, or

7.5 miles left to travel within .3 hours, how do I figure out the average speed required for me to get to the church ontime?
 
Well... if average velocity = distance/time. We know that he have to travel 7.5 miles, we know that we must travel that in 18 mins (.3 hours) then we can just plug it into the equation

V = (7.5mi)/(.3hours)
V = 25 mi/h
 

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