Ben is driving on the highway at x miles per hour. (One mile equals 5,

Question

Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?

A. 5,280(x/y)
B. 5,280(y/x)
C. 5,280(xy)
D. 5,280/(xy)
E. (xy)/5,280

A. 5,280(x/y)
B. 5,280(y/x)
C. 5,280(xy)
D. 5,280/(xy)
E. (xy)/5,280

Bunuel · Accepted Answer

In one hour, at the rate of x miles per hour, Ben covers x miles, so 5,280x feet. The number of revolutions = distance/circumference = 5,280x/y. Answer: A. Similar questions to practice: a-circular-rim-28-inches-in-diameter-rotates-the-same-number-65106.html two-wheels-are-connected-via-a-conveyor-belt-the-larger-133697.html how-long-in-minutes-did-it-take-a-bicycle-wheel-to-roll-130026.html what-is-the-number-of-360-degree-rotations-that-a-bicycle-wh-166668.html the-circumference-of-the-front-wheel-of-a-cart-is-30-ft-long-90588.html a-point-on-the-edge-of-a-fan-blade-that-is-rotating-in-a-plane-is-65505.html at-the-same-time-sue-began-rolling-a-wheelbarrow-from-x-to-y-nancy-199350.html m10-183873.html

EMPOWERgmatRichC · Answer

Hi shasadou,

This question can be solved by TESTing VALUES.

We're told the speed is X miles per hour and the circumference of the tires is Y feet. The question asks how many revolutions each wheel will turn in 1 hour.

Let's keep the values small so the math will be easy:

X = 2 
Y = 4

Now the speed is 2 miles per hour, so that's 2(5280 feet) per hour. I'm not going to do that math just yet though….

Since the circumference of the tires is 4 feet, we can figure out the number of revolutions by dividing the distance by 4…

2(5280)/4 = 5280/2 = 2640

When you plug in the above values for X and Y, only one answer matches 2640…

Final Answer:  A

GMAT assassins aren't born, they're made, 
Rich

JeffTargetTestPrep · Answer

We are given that Ben is driving at an average rate of x mph and we need to determine how many revolutions each wheel turns in one hour.

Since 1 mile = 5,280 feet, Ben drives 5280x feet in one hour.

Thus, the number of revolutions is distance/circumference = (5,280x)/y = 5280(x/y).

Answer: A

charlie-23 · Answer

Number of Revolutions/hr = Speed(in feet/hr)/Circumference(in feet)

= 5280x/y

Lowpoint · Answer

Will questions like these appear in GMAT focus as they said Geometry has been removed?

Bunuel · Answer

Which specific geomtry knowledge do you need to solve this question?

Lowpoint · Answer

I guess the forumla comes from geometry. Circumference = Distance/ Rate

I may be wrong. That's why I am clarifying if i need to memorize these formulas.

Bunuel · Answer

Calculating the number of revolutions using distance/circumference doesn't require specific geometry knowledge; it's a straightforward application of common sense. You simply divide the distance covered by the circumference of the wheel to find the number of revolutions.

Ben is driving on the highway at x miles per hour. (One mile equals 5,

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Ben is driving on the highway at x miles per hour. (One mile equals 5,

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards