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Someone on a skateboard is traveling 12 miles per hour. How many feet

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Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet)

A. 60
B. 88
C. 120
D. 176
E. 264



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[Reveal] Spoiler: OA

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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 11 Mar 2015, 05:31
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Hi

1 hr = 60*60 sec 3600 sec

In 3600 sec travels = 12 miles

In 10 sec travels = [12/3600]*10 = 1/30 miles

Now 1/30 miles =[ 1/30 * 5280 ] feet = 176 feet
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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12 miles per hour=1/5 miles per minute=5280/5 feet per minute= 5280/300 feet per sec

D=Rate x Time

D= 5280/300 x 10= 176 feet
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 12 Mar 2015, 10:39
Bunuel wrote:
Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet)

A. 60
B. 88
C. 120
D. 176
E. 264



Kudos for a correct solution.


12 mi/1hr * 1 hr/60 min * 1 min/60 sec * 5280 ft/1 mi = 176 ft

Answer: D
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 12 Mar 2015, 20:10
Answer = D = 176

12 miles = 12 * 5280

1hour = 60 * 60 seconds

Distance travelled in 10 seconds \(= \frac{12 * 10 * 5280}{60*60} = 176\)
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 12 Mar 2015, 20:40
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Bunuel wrote:
Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet)

A. 60
B. 88
C. 120
D. 176
E. 264


Kudos for a correct solution.


When working on changing units, it is advisable to do it in a single step with the units to avoid errors:

\(\frac{12 miles}{1 hour} = \frac{12 * 5280 feet}{60 * 60 secs} = 17.6 feet/sec\)

So distance traveled in 10 secs is 176 feet.

Check out this post for more on changing units: http://www.veritasprep.com/blog/2011/01 ... nd-ounces/
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 12 Mar 2015, 20:46
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(12*5280) feets/60*60 seconds * 10 seconds

seconds and seconds will cancel out . Ans. 176 feets (D)
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Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 12 Mar 2015, 21:40
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Bunuel wrote:
Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet)

A. 60
B. 88
C. 120
D. 176
E. 264



Kudos for a correct solution.

12 miles = 12 * 5280
= 63360 feet

Someone is skateboarding at 63360 feet per hour.
In 1 hour (i.e. 3600 seconds), distance travelled is 63360 feet.
So, in 10 seconds, distance travelled is (63360 * 10)/3600
= 176 feet

Hence option (D).

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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 13 Mar 2015, 00:04
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Bunuel wrote:
Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet)

A. 60
B. 88
C. 120
D. 176
E. 264



Kudos for a correct solution.

+1 for D. 1 Mile =5280 feet. Distance traveled in 60 minutes=12*5280 feet
Therefore, distance traveled in 10s=5280*2/60=176 feet
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 13 Mar 2015, 00:20
Answer for the above question is Option D
D.176
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 13 Mar 2015, 05:21
the answer is D

12 Mile/1hour= 12*5280/360=176 feet/sec
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 15 Mar 2015, 20:52
Bunuel wrote:
Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet)

A. 60
B. 88
C. 120
D. 176
E. 264



Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

The speed is 12 mph. To change this to feet/second, we need to multiply by (5280 ft/mile), to cancel miles, and to multiply by (1 hour/3600 second) to cancel seconds.
Attachment:
rar_img3.png
rar_img3.png [ 5.7 KiB | Viewed 1922 times ]


So, in 10 seconds, the skateboarder moves 176 feet.

Answer = (D)
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 27 Apr 2015, 08:20
Clocked 55 sec on this one and got it correct.

Here is how I approached it:

1) Convert number to unit in questions stem (i.e feet) 5280 * 12 = 63360

2) Convert 1 hour to unit in question stem (i.e. seconds) 60*60 - 3600

3) Divide --> 63360/60*60 * 10 (as we need to find how many feet does she travel in 10 seconds)

Answer: 176 feet
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet [#permalink]

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New post 08 Feb 2017, 10:36
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Bunuel wrote:
Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet)

A. 60
B. 88
C. 120
D. 176
E. 264


We are given that a skateboarder has a rate of 12 mph. We need to determine how many feet she travels in 10 seconds. Let’s first convert 10 seconds to hours.

Since there are 3,600 seconds in an hour, 10 seconds = 10/3600 = 1/360 hours.

Since rate x time = distance, the skateboarder can travel 12 x 1/360 = 12/360 = 1/30 miles.

Finally, since 1 mile = 5,280 feet, the skateboarder travels 5,280 x 1/30 = 176 feet.

Answer: D
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Re: Someone on a skateboard is traveling 12 miles per hour. How many feet   [#permalink] 08 Feb 2017, 10:36
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