anonymous
  • anonymous
Setting up this word problem. Please help.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
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DebbieG
  • DebbieG
Snowplow start at 6am at constant speed. Auto starts at 8am, traveling 40 mph, reaches plow after 30 minutes. What is the speed of plow? So, each one's distance = r*t, where t is time in minutes since they started. So use that to set up an expression for the plow's distance as a function of the unknown rate r, and known time (for the PLOW, and use minutes). Now set up an expression for the car's distance, using the car's known rate, and known time. Set them equal, and solve for the plow's rate r. When the car reaches the plow, their distances traveled are equal.
DebbieG
  • DebbieG
(You could do it in hours instead of in minutes - up to you, really. Just be consistent, either all in hours or all in minutes.)

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anonymous
  • anonymous
ok so how would you input the time?
DebbieG
  • DebbieG
What do you mean, "input the time"? You just use the time in each expression. Time the plow drove is 2.5 hours. time the car drove is .5 hours. Or in minutes, 150 minutes and 30 minutes. rate x time = distance. So set the distances equal.
anonymous
  • anonymous
I get 30 minutes for the car, I am lost how we get 2.5 hours for the plow.
DebbieG
  • DebbieG
Did you read the problem?
DebbieG
  • DebbieG
The snowplow set out at 6:00am. The car caught up with it, after leaving at 8:00am and traveling for 30 minutes. Hence, they met up at 8:30am. 6am to 8:30am is 2.5 hours.
anonymous
  • anonymous
Yes says it left at 6 am and the other car left at 8am so there is a two hour difference. Oh ok I was not thinking the extra 30 minutes the car traveled to meet the plow. That is what was throwing me off.
anonymous
  • anonymous
so the two formulas would be ? Plow x=r(2.5) car x=40(0.5)
DebbieG
  • DebbieG
yes. those are each of their distances traveled.
anonymous
  • anonymous
so the answer to the car distance would be 20, where would you go from there?
DebbieG
  • DebbieG
I told you above. How far did the snow plow travel?
anonymous
  • anonymous
16? I got this by putting the formula like 20=2.5r and divided by 2.5 to get 16
DebbieG
  • DebbieG
I'm not sure what you did, but you didn't divide 20 by 2.5 if you got 16.
anonymous
  • anonymous
8 sorry i divided by .5
DebbieG
  • DebbieG
I mean, you can see that 20\(\neq\)2.5(16)
DebbieG
  • DebbieG
yes, 8.
anonymous
  • anonymous
Thank you now the distance formula makes a little more sense. I think I was just getting thrown off by times, and where to put the formula when set up.

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