SOLUTION: A duck and a chicken are walking to school. One way, the trip takes 2 hours for the duck and 3 hours for the chicken, since the chicken lives 40 miles farther away than the duck. T

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Question 906945: A duck and a chicken are walking to school. One way, the trip takes 2 hours for the duck and 3 hours for the chicken, since the chicken lives 40 miles farther away than the duck. The chicken travels 5 mph faster than the duck. Find their average rates of travel.
Found 2 solutions by josmiceli, richwmiller:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Average speed is ( total distance ) / ( total time )
Let +d+ = distance duck has to travel
+d+%2B+40+ = distance chicken has to travel
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Duck's rate of travel:
+d%2F2+
Chicken's rate of travel:
+%28+d+%2B+40+%29+%2F+3+
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You are given that:
+%28+d+%2B+40+%29+%2F+3+=+d%2F2+%2B+5+
Multiply both sides by +6+
+2%2A%28+d+%2B+40+%29+=+3d+%2B+30+
+2d+%2B+80+=+3d+%2B+30+
+d+=+50+
+d+%2B+40+=+90+
-------------------
The duck's average rate is:
+d%2F2+=+50%2F2+
+d%2F2+=+25+ mi/hr
--------------------------
The chicken's average rate is:
+%28+d%2B40+%29+%2F+3+=+90%2F3+
+%28+d%2B40+%29+%2F+3+=+30+ mi/hr

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Such speedy educated fowl!
Just 5 mph walking is fast even for a human.
r*t=d
r*2=d
(r+5)*3=d+40
3r+15=2r+40
r=25 mph for the duck
Now that is power walking!
r+5=30 mph for the chicken.
2*25=50 miles for the duck
3*30=90 miles for the chicken