Question

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

Answer 1

D from A = 34 miles

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

Answer 2

• 34 miles

Explanation:

The distance AB is 200 miles

Let them meet after x hours, we have equation below:

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

The cyclist will drive the distance from point A:

• 17*2 = 34 miles

They will meet at 34 miles from point A