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# Harvey runs a 30-mile course at a constant rate of 4 miles per hour.

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Re: Harvey runs a 30-mile course at a constant rate of 4 miles per hour. [#permalink]
Bunuel wrote:
Harvey runs a 30-mile course at a constant rate of 4 miles per hour. If Clyde runs the same track at a constant rate and completes the course in 90 fewer minutes, how fast did Clyde run?

A. 4.5 miles per hour
B. 5 miles per hour
C. 5.5 miles per hour
D. 6 miles per hour
E. 7 miles per hour

time of Harvey ; 30/4 ; 7.5mph ; 450 minutes
and time for clyde ; 450-90 ; 360 mins ; 6hrs
so speed ; 30/6 ; 5 mph
IMO B
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Re: Harvey runs a 30-mile course at a constant rate of 4 miles per hour. [#permalink]
Speed*Time=Distance Traveled

For Harvey: 4*7.5=30
For Clyde: x*6=30 => x=5 mph

Ans:B
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Re: Harvey runs a 30-mile course at a constant rate of 4 miles per hour. [#permalink]
Bunuel wrote:
Harvey runs a 30-mile course at a constant rate of 4 miles per hour. If Clyde runs the same track at a constant rate and completes the course in 90 fewer minutes, how fast did Clyde run?

A. 4.5 miles per hour
B. 5 miles per hour
C. 5.5 miles per hour
D. 6 miles per hour
E. 7 miles per hour

Harvey runs the track in 30/4 = 15/2 = 7.5 hours.

Since Clyde completes the same course in 90 fewer minutes, he runs the track in 6 hours, and therefore, his rate is 30/6 = 5 mph.

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Harvey runs a 30-mile course at a constant rate of 4 miles per hour. [#permalink]
Harvey ran 30 miles at a rate of 4 miles per hour.

30/4 = 7.5 hours. Harvey ran 7.5 hours in total.

Clyde runs 90 mins less than him. 90 mins in hours is 1.5 hours. 7.5 - 1.5 = 6 hours.
Clyde ran 6 hours in total.

Formula: Distance/Rate = Speed

30/R = 6

R = 5.

Clyde runs at a speed of 5 miles per hour.

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Re: Harvey runs a 30-mile course at a constant rate of 4 miles per hour. [#permalink]
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Re: Harvey runs a 30-mile course at a constant rate of 4 miles per hour. [#permalink]
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