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Joan walks 4 feet per second, which is half as fast as Al walks. If B

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Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 29 Mar 2017, 04:07
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Question Stats:

79% (00:39) correct 21% (00:41) wrong based on 105 sessions

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Joan walks 4 feet per second, which is half as fast as Al walks. If Bob is twice as fast as Al then how far will Bob walk in a minute?

A. 960 feet
B. 480 feet
C. 240 feet
D. 60 feet
E. 16 feet
[Reveal] Spoiler: OA

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Re: Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 29 Mar 2017, 05:42
Joan walks at half the speed of Al. Hence, Al walks at twice the speed(8 ft/s) Since bob walks twice as fast as al. Al's speed will be 16 ft/s or 960 ft/minute (Option A)

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Re: Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 29 Mar 2017, 09:33
Bunuel wrote:
Joan walks 4 feet per second, which is half as fast as Al walks. If Bob is twice as fast as Al then how far will Bob walk in a minute?

A. 960 feet
B. 480 feet
C. 240 feet
D. 60 feet
E. 16 feet


Bob = 2 Al = 2 Joan
Al = 2*4 =8
Bob = 2*8=16 feet/min

Bob will walk 16*60 = 960 feet in a minute

Hence option A is correct
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Re: Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 29 Mar 2017, 13:05
Joan 4
Al 8
Bob 16

Bob = 60 x 16 = 960 Answer A
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Re: Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 31 Mar 2017, 11:36
Bunuel wrote:
Joan walks 4 feet per second, which is half as fast as Al walks. If Bob is twice as fast as Al then how far will Bob walk in a minute?

A. 960 feet
B. 480 feet
C. 240 feet
D. 60 feet
E. 16 feet


Since Joan’s rate is 4 feet per second and her rate is half of Al’s rate, Al’s rate is 8 feet per second. Since Bob’s rate is twice as fast as Al’s, his rate is 16 feet per second.

Finally, since 1 minute = 60 seconds, Bob will walk 16 x 60 = 960 feet in a minute.

Answer: A
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Re: Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 31 Mar 2017, 13:02
Bunuel wrote:
Joan walks 4 feet per second, which is half as fast as Al walks. If Bob is twice as fast as Al then how far will Bob walk in a minute?

A. 960 feet
B. 480 feet
C. 240 feet
D. 60 feet
E. 16 feet


Solution



    • Joan walks at 4 feet per second.

    • Joan walks half as fast as Al, which means,

      o Joan \(= \frac{(Al)}{2}\)

      o \(Al = 8\) feet per second.

    • Bob walks twice as fast as Al, which means,

      o \(Bob = 2*Al\)

      o \(Bob = 2* 8 = 16\) feet per second.

    • Distance traveled by Bob in a minute(60 seconds) \(= Speed * Time = 16 * 60 = 960\) feet.

    • Thus, correct answer is Option A.


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Re: Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 21 Apr 2017, 22:31
Bunuel wrote:
Joan walks 4 feet per second, which is half as fast as Al walks. If Bob is twice as fast as Al then how far will Bob walk in a minute?

A. 960 feet
B. 480 feet
C. 240 feet
D. 60 feet
E. 16 feet


Option:A
Time taken:0:59
Joan=4 ft/sec
Al=2*Joan
Bob=2*Al
Therefore
Al=8 ft/sec
Bob=16 ft/sec
(Please read the question carefully may be you trapped by option E here)
for finding per minute spreed of Bob
Bob=16*60=960 ft/min
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Joan walks 4 feet per second, which is half as fast as Al walks. If B [#permalink]

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New post 26 Apr 2017, 13:36
Bunuel wrote:
Joan walks 4 feet per second, which is half as fast as Al walks. If Bob is twice as fast as Al then how far will Bob walk in a minute?

A. 960 feet
B. 480 feet
C. 240 feet
D. 60 feet
E. 16 feet


When there is just one conversion, here, from seconds to minutes, I find it faster to convert before calculating.

Joan is half as fast as Al => Al is twice as fast as Joan, and Bob is twice as fast as Al.

Start with Joan, convert her rate, multiply by 2, then multiply by 2 again.

Joan = \(\frac{4 ft}{1 sec}\) x \(\frac{60}{60}\) = \(\frac{240 ft}{60 secs}\) = \(\frac{240 ft}{1 min}\), times 2 =>

Al = \(\frac{480 ft}{1 min}\), times 2 =>

Bob = \(\frac{960 ft}{1 min}\) Answer A.
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Joan walks 4 feet per second, which is half as fast as Al walks. If B   [#permalink] 26 Apr 2017, 13:36
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