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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)

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.

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

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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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