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A bicyclist begins a race at a constant rate of 10 miles per hour, slowing down by 1 mile per hour every half-hour. How

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A bicyclist begins a race at a constant rate of 10 miles per hour, slowing down by 1 mile per hour every half-hour. How

by M7MBA » Thu Aug 27, 2020 1:26 am

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A bicyclist begins a race at a constant rate of 10 miles per hour, slowing down by 1 mile per hour every half-hour. How many miles has the bicyclist traveled after exactly 2.5 hours?

A) 22.5
B) 20
C) 19
D) 17
E) 12.5

Answer: B

Source: Princeton Review
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Re: A bicyclist begins a race at a constant rate of 10 miles per hour, slowing down by 1 mile per hour every half-hour.

by swerve » Thu Aug 27, 2020 4:09 am
M7MBA wrote: ↑
Thu Aug 27, 2020 1:26 am
 A bicyclist begins a race at a constant rate of 10 miles per hour, slowing down by 1 mile per hour every half-hour. How many miles has the bicyclist traveled after exactly 2.5 hours?

A) 22.5
B) 20
C) 19
D) 17
E) 12.5

Answer: B

Source: Princeton Review
We know, Distance=Speed\(\cdot\)time

Here , total distance traveled \(=\) sum of the distances at \(5\) intervals \(=0.5\cdot(10+9+8+7+6)=0.5\cdot 40=20\) miles.

Thereofre, B
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