SOLUTION: 1: stephanie leaves school at 3:00 on her bike and travels at a speed of 10mph. if her mom leaves home at the same time and drives toward school at 40mph, what time will they meet

Question 923421: 1: stephanie leaves school at 3:00 on her bike and travels at a speed of 10mph. if her mom leaves home at the same time and drives toward school at 40mph, what time will they meet if the distance between home and school is 10 miles.
2: a sailboat is taking on water during a storm and is in danger of sinking. after calling the coast guard, the sailboat turns towards shore and travels at 17mph towards boston which is 123.9 miles away. at the same time, a coast guard cutter leaves boston and heads towards the floundering sailboat at a speed of 42 miles per hour. how long until the coast guard reaches the sailboat.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
Please post as two separate questions. I'll answer # 1:
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s = 10 m/hr
m = 40 m/hr
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combined speed (aka closing speed) of Stephanie and Mom:
CS = s + m = 50 m/hr
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CS = distance/time
50 = 10/time
time = 10/50
time = 1/5 hr
time = (1/5 hr) * (60 minutes/hr)
time = 12 minutes
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answer:
they meet at 3:12
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