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I am stuck on this homework question and i have no idea on how to solve it, can someone please help me?

 

The distance traveled is equal to the speed traveled (rate) multiplied by the time spent traveling- D = rt

It takes you 45 minutes to get to school. You spend t minutes walking to the bus stop, and the rest of the time riding the bus. You walk 0.06 mi/min and the bus travels 0.5 mi/min.

1. Write an equation that represents the total distance you travel.

2. Simplify this equation

I would really appreaciate if someone could help me.

 Oct 8, 2014

Best Answer 

 #1
avatar+130511 
+5

OK

Let t be the time you walked ....so (45 - t)  equals the time you rode.....and let D be the total distance traveled

So we have

[The time you walked] x [the rate you walked] + [the time you rode] x [the bus rate] = the total distance...in math terms, we have

[.06mi/min]*[t] + [.5mi/min]*[45 - t] = D       and simplifying. we have

.06t + 22.5 - .5t = D     simplify again

-.44t + 22.5  = D          ( and if we knew the distance, we could solve for the time )

 

 Oct 8, 2014
 #1
avatar+130511 
+5
Best Answer

OK

Let t be the time you walked ....so (45 - t)  equals the time you rode.....and let D be the total distance traveled

So we have

[The time you walked] x [the rate you walked] + [the time you rode] x [the bus rate] = the total distance...in math terms, we have

[.06mi/min]*[t] + [.5mi/min]*[45 - t] = D       and simplifying. we have

.06t + 22.5 - .5t = D     simplify again

-.44t + 22.5  = D          ( and if we knew the distance, we could solve for the time )

 

CPhill Oct 8, 2014

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