SOLUTION: Lou leaves for a cross country excursion on a bicycle travelling at 20 miles per hour. His friends are driving the trip and will meet him at several rest stops along the way. The
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Question 921571: Lou leaves for a cross country excursion on a bicycle travelling at 20 miles per hour. His friends are driving the trip and will meet him at several rest stops along the way. The first stop is scheduled 30 miles from the original starting point. If people driving leave 15 minutes after Lou from the same place, how fast will they have to drive to reach the first rest stop at the same time as Lou? Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39630) (Show Source):
Be sure you understand the data table. Expect that because the car should be moving faster than the bicycle. The car needs quarter of an hour LESS time than the bicycle because the car travels faster.
You will first use the BIKE data to solve for t.
Then use the solution for t to solve for r.
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Lou leaves for a cross country excursion on a bicycle travelling at 20 miles per hour. His friends are driving the trip and will meet him at several rest stops along the way. The first stop is scheduled 30 miles from the original starting point. If people driving leave 15 minutes after Lou from the same place, how fast will they have to drive to reach the first rest stop at the same time as Lou?
Time it’ll take Lou to get to 1st stop: , or 1.5 hours
Time it’ll take the friends to get to 1st stop: 1.5 - .25 (15 minutes), or 1.25 hours
Speed the friends need to travel at: , or mph
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