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A bicyclist's wheel has a circumference of x meters. if the bicyclist

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pmklings
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A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink] New post   Updated on: 17 Oct 2016, 21:44
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A bicyclist's wheel has a circumference of x meters. if the bicyclist covers y meters in t hours at a constant speed, how many rotations does the wheel make per hour at that speed?

a. y/xt

b. yx/t

c. xt/y

d. yt/x

e. x/yt
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A

Originally posted by pmklings on 27 Sep 2015, 22:05.
Last edited by Bunuel on 17 Oct 2016, 21:44, edited 1 time in total.
Renamed the topic.
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Re: A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink] New post   27 Sep 2015, 23:32
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pmklings wrote:
A bicyclist's wheel has a circumference of x meters. if the bicyclist covers y meters in t hours at a constant speed, how many rotations does the wheel make per hour at that speed?

a. y/xt

b. yx/t

c. xt/y

d. yt/x

e. x/yt


The bicyclist covers y meters in t hrs. So he covers y/t meters in one hour.
To cover y/t meters, the bicycle's wheel went round and round that is, multiple times, the wheel completed one circumference on the road. How many times did it complete one full rotation. Since the circumference is x, the number of times it completes the circumference is y/xt.

Answer (A)

or you can plug in numbers.
Say it completes 1000 m (= y) in 2 hrs (= t). This means it completes 500 m per hour. Say the circumference of the wheel is 2 m (= x). So how many rotations will be made in 1 hr? 500/2 = 250 rotations.

Pluggin in the options, you get 250 from (A).

Answer (A)
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Re: A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink] New post   27 Sep 2015, 23:54
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Lets say the total no or revolutions bicycle wheel makes to cover a distance of y meters be "n".
Then we can say y = nx (distance = no of revolutions * distance covered in one revolution, i.e circumference)
=> n = y/x
Now, in "t" hours the wheel makes "n" revolutions
=> in 1 hour the wheel will make n/t revolutions
Substituting the values of n, n/t = (y/x)/t = y/xt

Answer: A
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Re: A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink] New post   28 Sep 2015, 14:23
divide meters per hour (y/t)
by meters per rotation (x)
to get rotations per hour (y/xt)
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Re: A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink] New post   15 Jul 2019, 09:57
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In 1 hour bicyclist covers y/t meters.
If he covers x meters= 1 rotation
So, to cover y/t meters, no. of rotation = (y/t)/x = y/xt rotations.
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A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink] New post   30 Sep 2020, 09:13
—-1 Rotation of a Circle = 1 Circumference of a Circle


—-Total Number of Rotations of Circle = (Distance traveled) / (Circumference of Circle)

Thus:

Total Number of Rotations = (Y met. Distance Covered) / (X met. Circumference of Circle) = (Y / X)


—-we are told that this Distance is covered at a constant speed in T hours:

(Total Number of Rotations) / (per Hour) = (Y / X) / T hours


-Answer-

Y / (XT)

A

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Re: A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink] New post   27 Mar 2023, 10:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A bicyclist's wheel has a circumference of x meters. if the bicyclist [#permalink]
27 Mar 2023, 10:10
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