Source: GMAT Prep
If a certain wheel turns at a constant rate of \(x\) revolutions per minute, how many revolutions will the wheel make in \(k\) seconds?
A. \(60kx\)
B. \(kx\)
C. \(\frac{x}{k}\)
D. \(\frac{x}{60k}\)
E. \(\frac{kx}{60}\)
The OA is E
If a certain wheel turns at a constant rate of \(x\)
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We can solve the question using equivalent ratiosBTGmoderatorLU wrote:Source: GMAT Prep
If a certain wheel turns at a constant rate of \(x\) revolutions per minute, how many revolutions will the wheel make in \(k\) seconds?
A. \(60kx\)
B. \(kx\)
C. \(\frac{x}{k}\)
D. \(\frac{x}{60k}\)
E. \(\frac{kx}{60}\)
The OA is E
Wheel turns at a constant rate of x revolutions per minute
We can also say the wheel turns at a constant rate of x revolutions per 60 seconds
In other words, # of revolutions/seconds elapsed = x/60
How many revolutions will the wheel make in k seconds?
Let R = the number of revolutions will the wheel make in k seconds
We can now write: x/60 = R/k
To solve for R, we can first cross multiply to get: 60R = kx
Divide both sides by 60 to get: kx/60
Answer: E
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Since k seconds is k/60 minutes, the wheel will make x * k/60 = xk/60 revolutions in k seconds.BTGmoderatorLU wrote:Source: GMAT Prep
If a certain wheel turns at a constant rate of \(x\) revolutions per minute, how many revolutions will the wheel make in \(k\) seconds?
A. \(60kx\)
B. \(kx\)
C. \(\frac{x}{k}\)
D. \(\frac{x}{60k}\)
E. \(\frac{kx}{60}\)
The OA is E
Alternate Solution:
We can create a proportion: "x revolutions is to 60 seconds as q revolutions is to k seconds," and our goal is to solve for q:
x/60 = q/k
xk = 60q
xk/60 = q
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7266
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Since k seconds is k/60 minutes, the wheel will make x * k/60 = xk/60 revolutions in k seconds.BTGmoderatorLU wrote:Source: GMAT Prep
If a certain wheel turns at a constant rate of \(x\) revolutions per minute, how many revolutions will the wheel make in \(k\) seconds?
A. \(60kx\)
B. \(kx\)
C. \(\frac{x}{k}\)
D. \(\frac{x}{60k}\)
E. \(\frac{kx}{60}\)
The OA is E
Alternate Solution:
We can create a proportion: "x revolutions is to 60 seconds as q revolutions is to k seconds," and our goal is to solve for q:
x/60 = q/k
xk = 60q
xk/60 = q
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews