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If an object travels 100 feet in 2 seconds, what is the

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If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

A. 3.4
B. 3.8
C. 34
D. 38
E. 340
[Reveal] Spoiler: OA

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shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

3.4
3.8
34
38
340


i always mess such conversion questions. :x :x :x


\(100\) feet in 2 seconds;

\(100*\frac{3,600}{2}=50*3,600\) feet in 1 hour;

\(\frac{50*3,600}{5,280}\approx{34}\) miles in 1 hour.

Answer: C.
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Re: conversion [#permalink]

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Conversion questions are best dealt using a one step approach.
Let me illustrate: Let's say we want to convert a speed of 100 miles/hour to feet/sec.

Speed = 100 miles/1 hour = (100 x 5280 feet)/(1 x 3600 sec)= 146.67 feet/sec

So, simply convert the units to what you want along with the conversion factor.

Let's take your question now.
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

Speed = 100 feet/2 sec = (100×1/5280 miles)/(2×1/3600 hour) = 5x3600 miles/528 hr = 34 miles/hr

Note: Since 1 mile = 5280 feet, hence here to convert we say 1 foot = 1/5280 miles.
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Re: conversion [#permalink]

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New post 22 Oct 2010, 04:55
Bunuel wrote:
shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

3.4
3.8
34
38
340


i always mess such conversion questions. :x :x :x


\(100\) feet in 2 seconds;

\(100*\frac{3,600}{2}=50*3,600\) feet in 1 hour;

\(\frac{50*3,600}{5,280}\approx{34}\) miles in 1 hour.

Answer: C.


thanks for your better explanation......
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Re: conversion [#permalink]

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New post 08 Jul 2012, 09:50
100 (feet)/2 (sec) *1 (mile)/5280 (feet)* 3600 (sec)/1 (hour) --> cancel out (feet) and (sec) and you will get

(100*3600)/(2*5280) = 34.09
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Re: If an object travels 100 feet in 2 seconds, what is the [#permalink]

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New post 19 Jul 2012, 03:25
1 mile = 5280 feet => 1 feet = 1/5280 mile

1 hr = 3600s => 1s = 1/3600 hr

If an object travels 100 feet in 2 seconds => speed = 100/2 feet/s = 50 feet/s = 50 *(1/5280) / (1 *(1/3600)) miles/hr
= 3600 * 50 / (5280) miles/hr = 18000/ 528 miles/hr ~ 18000/525 = 180 * 4/ 21 miles/hr = 240/7 miles/hr ~ 34miles/hr

So, Answer is C(34)

Hope it helps!
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Re: conversion [#permalink]

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New post 17 Oct 2013, 03:37
Bunuel wrote:
shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

3.4
3.8
34
38
340


i always mess such conversion questions. :x :x :x


\(100\) feet in 2 seconds;

\(100*\frac{3,600}{2}=50*3,600\) feet in 1 hour;

\(\frac{50*3,600}{5,280}\approx{34}\) miles in 1 hour.

Answer: C.


Thanks! nice explanation! helped me understand.
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Re: conversion [#permalink]

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New post 17 Oct 2013, 03:42
KanupriyaS wrote:
Bunuel wrote:
shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

3.4
3.8
34
38
340


i always mess such conversion questions. :x :x :x


\(100\) feet in 2 seconds;

\(100*\frac{3,600}{2}=50*3,600\) feet in 1 hour;

\(\frac{50*3,600}{5,280}\approx{34}\) miles in 1 hour.

Answer: C.


Thanks! nice explanation! helped me understand.



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Re: If an object travels 100 feet in 2 seconds, what is the [#permalink]

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New post 20 Sep 2014, 08:05
shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

A. 3.4
B. 3.8
C. 34
D. 38
E. 340


My approach is as follows:
100 feet in 2 Secs.
Therefore 50 feet in 1 Sec
50 X 60 =3000 Feet in 1 Min
And 3000 X 60 = 180000 Feet in 1 Hour

Now Conversion..... 180000/5280~=180000/5000=36
The answer should be slightly less than 36.That is C.
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New post 26 Jul 2015, 15:53
Bunuel wrote:
shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)


\(\frac{50*3,600}{5,280}\approx{34}\) miles in 1 hour.

Answer: C.


How do you do that math fast and not screw it up? That's what I screwed up on this problem.
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gmatser1 wrote:
Bunuel wrote:
shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)


\(\frac{50*3,600}{5,280}\approx{34}\) miles in 1 hour.

Answer: C.


How do you do that math fast and not screw it up? That's what I screwed up on this problem.


You can use approximation as the given options are spread far and wide

Lets take the example of this question:

\(\frac{50*3,600}{5,280}\)

Recognize here that 36 = 18*2 and 54 = 18*3. 5280 is almost equal to 5400. Thus you can cancel out 3600 and 5280 to get 2/3 (approx.). For approximations of fractions, you need to a bit imaginative to cancel out the maximum you can.

Now the given equation reduces to 50*2/3 = 100/3 = 33.33333 which is very close to 34.

Hope this helps.
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Re: If an object travels 100 feet in 2 seconds, what is the [#permalink]

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New post 03 Apr 2016, 09:34
shrive555 wrote:
If an object travels 100 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)

A. 3.4
B. 3.8
C. 34
D. 38
E. 340


my approach
100ft/2sec = 50ft/sec or 3000ft/min, or 180,000/hour
now..1 mile is 5280
180,000/5000 = 36
so clearly is less than 36, but smth around 30
only option C
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Re: If an object travels 100 feet in 2 seconds, what is the [#permalink]

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New post 19 Nov 2016, 16:31
difficult question. I get to the below with some work

50 *3,600/ 5,280

then I decided to approximate = 18,000/5,000 = 36.

at this point I had to decide between 34 and 38. That was the difficult part of me.
Re: If an object travels 100 feet in 2 seconds, what is the   [#permalink] 19 Nov 2016, 16:31
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