Question 514700: In a bicycle race, Miss Muffet gives Mary Contrary a 500m advantage. Also, Miss Muffet agrees to start 15 minutes after Mary Contrary. Now, just as the race began, Miss Muffet saw a spider near her tuffet, and took off at 17km/h. Mary Contrary takes off at 14km/h. How long will it take Miss Muffet to overtake Mary Contrary.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! In a bicycle race, Miss Muffet gives Mary Contrary a 500m advantage.
Also, Miss Muffet agrees to start 15 minutes after Mary Contrary.
Now, just as the race began, Miss Muffet saw a spider near her tuffet, and took off at 17km/h.
Mary Contrary takes off at 14km/h.
How long will it take Miss Muffet to overtake Mary Contrary.
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The way I interpret all this nonsense is they both took off at the same time, with Contrary starting 500 m ahead of Muffet
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We are using km/h, change 500 m to .5 km
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Let t = time required for M to overtake C
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Write a distance equation: Dist = speed * time
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M's dist = C's dist + 500m
17t = 14t + .5
17t - 14t = .5
3t = .5
t = 
t = .167 * 60 = 10 minutes (changed hrs to minutes)
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