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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
a. y/xt
b. yx/t
c. xt/y
d. yt/x
e. x/yt
27 Sep 2015, 23:32
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pmklings
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)
General Discussion
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
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
