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alexdok [17]
3 years ago
7

50 POINTS!!! Please give an explanation and answer to this word problem. I am not just giving you 50 points for an answer!

Mathematics
2 answers:
denpristay [2]3 years ago
7 0

Answer:

  • 34 miles

Step-by-step explanation:

The distance AB is 200 miles

<u>Let them meet after x hours, we have equation below:</u>

  • 17x + 83x = 200
  • 100x = 200
  • x = 2 hours

<u>The cyclist will drive the distance from point A:</u>

  • 17*2 = 34 miles

They will meet at 34 miles from point A

valentinak56 [21]3 years ago
5 0

Answer:

D from A = 34 miles

Step-by-step explanation:

We know the total distance  is 200 miles  (this would be when they meet)

The rate for cyclist A is 17

The rate for cyclist B is 83

We know the time is equal

Distance = rate * time

Distance for A = 17t

Distance for B = 83 t

The total distance  =  distance for A + distance for B

200 = 17t + 83t

Combine like terms

200 = 100t

Divide each side by t

200/100 = 100t/100

They will meet at t =2 hours

I know you say we need the distance

Distance for A

D = 17*t

We now know t

D = 17*2

D = 34 miles

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