Heather and esmeralda both leave the park at the same time, but in opposite directions. if esmeralda travels 9 mph faster than heather and after 8 hours they are 248 miles apart, how fast is each traveling? ?

If Heather and Esmeralda are travelling in opposite directions, their total distance is the 248.

Let Heather's speed be = x

Let Esmeralda's speed be = x+9

they each travel for 8 hours  so time = 8 hours

Distance = speed * time

x=11

So, Heather is traveling at 11 miles per hour and

Esmeralda is traveling at  x+9 = 11+9 =20 miles per hour

Heather travels 11*8 = 88 miles

Esmeralda travels = 20*8 =160 miles

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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