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Bunuel
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It takes Davis x hours to complete the Road Runners Holiday Road Race 21 Mar 2017, 05:31
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88% (01:13) correct 12% (01:47) wrong based on 170 sessions

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It takes Davis x hours to complete the Road Runners Holiday Road Race while running at R miles per hour. If it takes Hassan one hour less to complete the race, what is Hassans rate, in terms of R and x?

A. Rx/(x-1)
B. R/(2x+1)
C. R/(x-1)
D. (x-1)/R
E. (x-1)/(Rx)
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A
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It takes Davis x hours to complete the Road Runners Holiday Road Race 21 Mar 2017, 11:01
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Time Taken by Davis to complete the Road Runners Holiday Road Race = x hours
Rate at which Davis ran = R miles/hour
Total distance of the Road Runners Holiday Road Race = Rx miles

Time Taken by Hassan to complete the Road Runners Holiday Road Race = (x-1) hours
Let Speed of Hassan = H

H = Rx/(x-1) miles/hour

Answer is A. Rx/(x-1)
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It takes Davis x hours to complete the Road Runners Holiday Road Race 22 Mar 2017, 03:42
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Picking numbers
R=10 Total distance =100
x= 10 hours
hassan's time = 9 hours
hassan's speed = 100/9

adding the values we get to the answer choices (A)
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It takes Davis x hours to complete the Road Runners Holiday Road Race 23 Mar 2017, 16:55
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Bunuel
It takes Davis x hours to complete the Road Runners Holiday Road Race while running at R miles per hour. If it takes Hassan one hour less to complete the race, what is Hassans rate, in terms of R and x?

A. Rx/(x-1)
B. R/(2x+1)
C. R/(x-1)
D. (x-1)/R
E. (x-1)/(Rx)
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Since it takes Davis x hours to complete the Road Runners Holiday Road Race while running at R miles per hour, his distance is Rx. We are also given that it takes Hassan one hour less to complete the race. So if we let H = the rate of Hassan and time of Hassan = x - 1, then his distance is H(x-1). Let’s now equate our two distances:

Rx = H(x- 1)

Rx/(x-1) = H

Answer: A
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It takes Davis x hours to complete the Road Runners Holiday Road Race 25 Mar 2017, 13:04
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Hi All,

This question can be solved rather easily by TESTing VALUES.

IF...
X = 2
R = 4
then Davis takes 2 hours, running 4 miles/hour, to complete the race - thus, the total distance is (2 hours)(4 mph) = 8 miles.

We're told that Hassan takes 1 less hour to complete the race, so he takes 1 hour to run the 8 miles, meaning that his rate is 8 miles per hour. So we're looking for an answer that equals 8 when X=2 and R=4. There's only one answer that matches (and you can quickly eliminate the other 4 answers without having to do too much math - IF you pay attention to how the numerators relate to the denominators...).

Final Answer:
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A

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It takes Davis x hours to complete the Road Runners Holiday Road Race 17 Dec 2024, 07:15
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