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Thursday, August 15, 2013

Rate, Distance, Time - Problem, 4

Category: Algebra, Physics, Mechanics

"Published in Newark, California, USA"

Mr. Saldaña drove out to a place in the country at the rate of 40 miles per hour and came back the same way at the rate of 60 miles per hour. How far out did he drive if the entire trip took 7 hours?

Solution:

The given word problem is about the rate, distance, and time problem. Let's analyze the word problem as follows:

Let x = be the time of first travel at 40 miles per hour 
      y = be the time of return travel at 60 miles per hour

To understand more the word problem, it is better to illustrate the given word problem as follows 


 We know that


The first distance traveled by Mr. Sadaña is equal to his return distance because it is a round trip travel. The working equation for this statement will be equal to





The other working equation which is the total time traveled by Mr. Sadaña will be equal to


Substitute the value of x from the first equation to the above equation, we have







Hence, the return distance traveled by Mr. Sedaña will be equal to







Therefore, the total distance traveled by Mr. Sedaña is