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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 [#permalink]  21 Oct 2010, 17:42
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Question Stats:

62% (02:59) correct 38% (01:58) wrong based on 499 sessions
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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Re: conversion [#permalink]  21 Oct 2010, 18:01
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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.

$$100$$ 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.

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Re: conversion [#permalink]  22 Oct 2010, 04:02
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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.

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]  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.

$$100$$ 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.

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Re: conversion [#permalink]  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]  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

Hope it helps!
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Re: conversion [#permalink]  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.

$$100$$ 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.

Thanks! nice explanation! helped me understand.
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Re: conversion [#permalink]  17 Oct 2013, 03:42
Expert's post
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.

$$100$$ 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.

Thanks! nice explanation! helped me understand.

Other conversion problems to practice:
if-an-object-travels-100-feet-in-2-seconds-what-is-the-103364.html
the-rear-wheels-of-a-car-crossed-a-certain-line-0-5-second-135753.html
a-train-traveling-at-a-constant-speed-down-a-straight-track-87124.html
a-car-traveling-at-a-certain-constant-speed-takes-2-seconds-126658.html
if-an-automobile-averaged-22-5-miles-per-gallon-of-gasoline-109083.html
if-1-kilometer-is-approximately-0-6-mile-which-of-the-140731.html
measuring-standards-conversion-106516.html
if-10-millimeters-equal-1-centimeter-how-many-square-48538.html
the-speed-of-light-is-approximately-149492.html
the-rear-wheels-of-a-car-crossed-a-certain-line-0-5-second-135753.html
if-the-speed-of-x-meters-per-second-is-equivalent-to-the-127005.html
according-to-the-formula-f-9-5-c-32-if-the-temperature-160658.html
if-the-speed-of-x-meters-per-second-is-equivalent-to-the-spe-79246.html
on-a-trolley-ride-around-an-amusement-park-a-child-traveler-161594.html
the-distance-between-two-planets-is-3-04-10-6-light-years-161745.html

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

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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Re: If an object travels 100 feet in 2 seconds, what is the [#permalink]  26 Jul 2015, 15:58
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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.

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] 26 Jul 2015, 15:58
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