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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]

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New post 21 Oct 2010, 18:42
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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

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Re: conversion  [#permalink]

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New post 22 Oct 2010, 05:02
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2
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 21 Oct 2010, 19:01
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4
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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New post 22 Oct 2010, 05:55
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: If an object travels 100 feet in 2 seconds, what is the object's appro  [#permalink]

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New post 13 May 2011, 08:46
1
1 mile = 5280 feet

=> 1 feet = 1/5280 miles

If the object ravels 100 feet in 2 sec

then it travels 100/2 * 60 * 60 feet in 1 hour (1 hr = 60 min * 60 sec)

= 3600 * 50 feet in 1 hour

= 180000 feet in 1 hr

= 180000/5280 miles in 1 hour

= 18000/528 miles/hr ~ 34 miles/hr

Answer - C
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Re: If an object travels 100 feet in 2 seconds, what is the object's appro  [#permalink]

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New post 13 May 2011, 08:49
1
In 2 seconds ----100feet
In 1 second----50feet
In 3600 seconds(1hour=3600sec)---3600*5feet.

Now 5280 feet = 1 miles
so, 3600*5 feet= 3600*5/5280.
Now use approximation.. (36*5)/5280 * 100 = 180/5280 *100 or 18/5280 * 1000= 3/88 *1000.
Now 3/90= 1/30= .03
So 3/88*1000 ~ .03*1000=33.3~34.

Idea is to not multiply anything until last few steps when you can use approximation better.
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Re: If an object travels 100 feet in 2 seconds, what is the object's appro  [#permalink]

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New post 13 May 2011, 11:32
1
speed= 100 feet/2 sec
= 50 feet /1 sec
= 50*60*60 feet / hours


Now divide the entire distance traveled into number of miles

it gives 18000/5280

~35 Hence choice c
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Re: conversion  [#permalink]

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New post 08 Jul 2012, 10:50
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, 04:25
1
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, 04:37
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, 04:42
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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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]

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New post 20 Sep 2014, 09:05
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]

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New post 26 Jul 2015, 16:53
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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Re: If an object travels 100 feet in 2 seconds, what is the  [#permalink]

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New post 26 Jul 2015, 16:58
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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.

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, 10:34
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, 17:31
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.
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Re: If an object travels 100 feet in 2 seconds, what is the  [#permalink]

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New post 09 Feb 2018, 22:45
100 feet per 2 seconds , which translates to 3000 ft per minute.

Speed for 1 hour = (3000 * 60) / 5280 = ~ 34

Ans: 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 Apr 2018, 04:52
1) First change 100ft/2seconds to 50ft/1second.
2) Convert feet to miles = 50 * 1 / 5280 = 50/5280
3) Convert seconds to hours = 1 / (60)^2 =
4) Divide – multiply reciprocal = (60)^2*50/5280.
5) 3600*50=180000/5280.
6) By looking at this fraction we conclude that it needs to be multiplied by at least 30.

Thus therefore 34. Multiplying times 8 would be make the number too large
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If an object travels 100 feet in 2 seconds, what is the  [#permalink]

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New post 15 Aug 2018, 05:22
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.


Dear Bunuel,

How would you approach this last division: \(\frac{50*3,600}{5,280}\approx{34}\)?
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If an object travels 100 feet in 2 seconds, what is the &nbs [#permalink] 15 Aug 2018, 05:22
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