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Bunuel
shrive555
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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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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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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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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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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KanupriyaS
Bunuel
shrive555
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.


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-welder-received-an-order-to-make-a-1-million-liter-126154.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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shrive555
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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Bunuel
shrive555
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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Bunuel
shrive555
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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shrive555
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

Answers are very spread out, also notice the numbers A) 3.4 and B) 3.8 are identical to C) 34 and D) 38 except for a power of 10 and E) is identical to A) and C) except with another extra power of 10.

After converting we get (50*60^2)/(5280) so quickly rounding down denominator to 5000 gives us 36 while rounding up to 6000 gives us 30 so the answer should be around the average of those, C) 34 is the only choice since D is higher than the rounded up total.
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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)

100 feet/2 seconds = (60 × 100/2 feet)/minute = 3000 feet/minute

3000 feet/minute = a little under 0.6 miles/minute

a little under 0.6 miles/minute = a little under 60 × 0.6 miles/hour = a little under 36 miles/hour

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


Correct answer: C
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rate = 100 feet / 2 sec= 50 feet / sec

we need rate in miles per hour.

1 mile = 5280 feet.
lets convert the current rate into miles first.

(50 feet / 1 sec )* (1 mile / 5280 feet)
50 mile / 5280 sec

now we need time in hour.
1 hr =60 mins 3600 sec

(50 mile / 5280 sec) * (3600 sec / 1 hr)

50 * 3600 / 5280

upon simplifying this we get,
25* 15 / 11

approx denominator as 10.
numerator will be 375
when you divide by 10, it will be 37.5
but here original denominator is 11, the actually ans will be less than 37.5. so the next closest option is 34.

option C


shrive555
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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