Question

Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other.The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?

Answer 1

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

Answer 2

Answer:

Step-by-step explanation:

cyclist going 17 mph n motorcyclist going 83 mph opposite way

so their net closing speed=17+83=100mph

A n B 200 mi apart

so they will meet in 200/100=2hrs

at dat time, cyclist will be 2x17=34mi from pt A