Two hikers, Alan and Ben, are 12 miles apart and walking towards each other. They meet in 3 hours. Find the rate of each hiker if Ben walks 0.8 mph faster than Alan. Alan's rate of speed is ? mph.
Ben's rate of speed is ? mph.

Let +s+ = Alan's speed in mi/hr

+s+%2B+.5+ = Ben's speed in mi/hr

+2s+%2B+.5+ = the sum of their speed

+8.2+=+%28+2s+%2B+.5+%29%2A2+

+8.2+=+4s+%2B+1+

+4s+=+7.2+

+s+=+1.8+

+s+%2B+.5+=+2.3+

Alan's speed is 1.8 mi/hr

Ben's speed is 2.3 mi/hr

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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