At the rate of x feet per s seconds, how many miles does a cyclist tra

Question

At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes (5,280 feet per mile)?

A.  \frac{xy}{88s}

B.  \frac{88s}{xy}

C.  \frac{xy}{5280s}

D.  \frac{5280s}{xy}

E.  \frac{15xy}{22s}

JeffTargetTestPrep · Accepted Answer

We need to determine the number of miles a cyclist can travel in y minutes at the rate of x feet per s seconds.

First, we convert y minutes to seconds:

y minutes = 60y seconds

Since rate x time = distance, the cyclist travels (x/s)(60y) = 60xy/s feet in y minutes.

Now, we convert feet to miles:

(60xy/s)/(5280) = (60xy)/(5280s) = (xy)/(88s)

Answer: A

rohit8865 · Answer

anairamitch1804

Please follow step by step conversion
distance = Rate(speed)*time
given rate = x feet/ s sec
time = y minutes
as 5280 ft = 1 mile 
thus x ft = x/5280 miles
again 1 minute has 60 sec
So 1 sec has 1/60 minutes
or s sec has s/60 minutes
thus rate = x/5280 miles  /  s/60 minutes
60x/5280s miles /minute

thus distance travelled in y minutes
= 60x/5280s miles /minute *y minutes
=xy/88s

Ans A

Bunuel · Answer

Check other  Conversion problems  to practice from our  Special Questions Directory .

EMPOWERgmatRichC · Answer

Hi All,

These types of questions can almost always be beaten by TESTing VALUES and staying really organized with your work. The formatting of the answer choices is also important - here, the answers are designed in such a way that you don't have to perform every calculation to prove whether an answer is correct or not (and that 'option', when it appears, can play a big role in how effective you are with your overall pacing).

With these answers, notice how a couple of the answers 'hinge' on the number 5280, while two others hinge on the number 88 and the last hinges on the number 22. When TESTing VALUES, you might consider TESTing relatively small values and taking advantage of the patterns in the answer choices.

IF we TEST 
X = 3 
S = 2 
Y = 1

At a rate of 3 feet per 2 seconds, how many miles does a cyclist travel in 1 minute....

1 minute = 60 seconds

60 seconds/2 seconds = 30... so the cyclist traveled (3 feet)(30) = 90 feet in 1 minute. However, this question asks for the number of MILES that the cyclist traveled in Y minutes... and 90 feet is a TINY FRACTION of a mile (specifically 90/5280 = 9/528 = 3/176).

Since all 3 variables are small integers, you can eliminate certain answers immediately...

Answer B = 88..../..... = this will be far GREATER than 1. 
Answer C = (3)(4)/(5280)(1) = 12/5280.... this is far TOO SMALL 
Answer D = 5280..../..... = this will be significantly GREATER than 1

That just leaves two answers remaining (and notice how the variables appear in the same 'positions' in both answers, but the numerators and denominators are multiplied by different integers). If either answer matches, then you'd have the correct one...

Answer A = (3)(1)/(88)(2) = 3/176

Final Answer:  A

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

Kinshook · Answer

Asked: At the rate of x feet per s seconds, how many miles does a cyclist travel in y minutes(5280 feet per mile)?

Speed = x/s feet/seconds = (x/5280)/(s/60) = 60x/5280s = x/88s miles/minute
The miles does a cyclist travel in y minutes = xy/88s miles

IMO A

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

At the rate of x feet per s seconds, how many miles does a cyclist tra

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

At the rate of x feet per s seconds, how many miles does a cyclist tra

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