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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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

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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Source: Beat The GMAT — Problem Solving | Thu Aug 27, 2020 1:26 am

swerve: Legendary Member; Posts: 2560; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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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