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, 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

[Reveal] Spoiler: OA

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Re: conversion [#permalink]

21 Oct 2010, 19:01

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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.

Answer: C.
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Re: conversion [#permalink]

22 Oct 2010, 05:02

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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.

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]

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.

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]

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]

19 Jul 2012, 04:25

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: If an object travels 100 feet in 2 seconds, what is the [#permalink] 19 Jul 2012, 04:25

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