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Board of Directors D
Joined: 01 Sep 2010
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The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 66% (01:48) correct 34% (01:47) wrong based on 669 sessions

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The speed of light is approximately 1,86* 10^5 miles per second. This approximate speed is how many miles per hour?

(A) 1,11* 10^7

(B) 6,70 * 10^7

(C) 1,11* 10^8

(D) 1,86* 10^8

(E) 6,70* 10^8

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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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Number of seconds in 1 hour = 60 * 60

$$1.86*10^5 m/s= 1.86*10^5*60*60 m/h$$

$$1.86*10^5*6*10*6*10$$

$$1.86*10^7*36$$
$$1.86*10^7*3.6*10$$
$$1.86*10^8*3.6$$

E:$$6,7*10^8$$
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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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This problem is fairly straightforward if you interpret the data given correctly.

We know that the speed of light is approximately $$1,86*10^5$$ miles per second. If we rephrase it, we get that in 1 second we can travel $$1,86*10^5$$ miles.

Since an hour is equal to 3600 seconds, based on our rephrasing, we're going to travel 3600 times the distance travelled in 1 second.

In short : $$3600*1,86*10^5 = 6,756*10^8$$ which is close to answer choice E.

Hope that helped Board of Directors D
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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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Bunuel wrote:

Thanks Bunuel I tthink the best strategy is to translate step by step the problem.

If we have our quantity X (in this case 1.86*10^5) is $$PER$$ second and we have to arrive to our goal $$HOURS$$

so: 1.86*10^5/1 sec * 60 sec/1 minute * 60 minutes/ 1 hour --------> straight.

The denominator is ininfluent because is 1 and the numerator (pretty simple) becomes 1.86*10^5 * 3.6* 10^2 ---------> In the end E.

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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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Fantastic, thanks Brunel.

The other collection of similar conversion problems are of great help!
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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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surya167 wrote:
Fantastic, thanks Brunel.

The other collection of similar conversion problems are of great help!

Conversion questions can give some people fits, but remember that it will often ask you to convert from something per second to something per hour, which will always be x3600 (even during daylight savings time and even during leap years). That's the only one you need to know, which is basically multiplying by ~3.5 and then add 1,000.

1.86 is about 2, multiplying by ~3.5 gives you something a little under 7. There will only be one answer in the vicinity, so you can approximate this without ever putting pen to paper. If there are two answers that are close, then feel free to do the exact equation.

Anything that is not time will have units (example 5,280 feet in a mile, 1,000 meters in a kilometer, etc).

Personally, I'd love to see a question that crosses metric with imperial, such as "Usain Bolt runs at 10.16 meters/second, what is his speed in feet/second" but the GMAT doesn't cross these two systems (although it uses both in separate questions)

Hope this helps!
-Ron
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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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$$\frac{1.86 * 10^5 Miles}{Second} = \frac{1.86 * 10^5 Miles}{\frac{1}{3600} Hrs} = \frac{1.86 * 10^5 * 3600 Miles}{Hr} = 6.69 * 10^8 Miles Per Hr$$

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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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carcass wrote:
The speed of light is approximately 1,86 * 10^5 miles per second. This approximate speed is how many miles per hour?

(A) 1,11 * 10^7

(B) 6,70 * 10^7

(C) 1,11 * 10^8

(D) 1,86 * 10^8

(E) 6,70 * 10^8

The easiest way to answer this question is by POE, it does not require any calculation (answered in 30seconds). In one hour there are 3600 seconds, therefore speed in miles/hour will be.

(1.86*10^5)*3600 = (1.86*10^5)*(3.6*10^3) = some number*10^8...

The key is realizing that the "some number" has to be bigger thatn 1.86 (because 1.86*3.6), and the only answer that fits that is E.

Hope it helps Senior Manager  G
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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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Zarrolou wrote:
Number of seconds in 1 hour = 60 * 60

$$1.86*10^5 m/s= 1.86*10^5*60*60 m/h$$

$$1.86*10^5*6*10*6*10$$

$$1.86*10^7*36$$
$$1.86*10^7*3.6*10$$
$$1.86*10^8*3.6$$

E:$$6,7*10^8$$

hi

what is the meaning of the symbol " ".....?

we can see you have used decimal rather than comma in the expression ...
what is the reason for this change ..?

thanks in advance ....
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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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carcass wrote:
The speed of light is approximately 1,86 * 10^5 miles per second. This approximate speed is how many miles per hour?

(A) 1,11 * 10^7

(B) 6,70 * 10^7

(C) 1,11 * 10^8

(D) 1,86 * 10^8

(E) 6,70 * 10^8

hi

what is the meaning of the symbol " ".....?

thanks in advance ....
Math Expert V
Joined: 02 Sep 2009
Posts: 58427
Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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gmatcracker2017 wrote:
carcass wrote:
The speed of light is approximately 1,86 * 10^5 miles per second. This approximate speed is how many miles per hour?

(A) 1,11 * 10^7

(B) 6,70 * 10^7

(C) 1,11 * 10^8

(D) 1,86 * 10^8

(E) 6,70 * 10^8

hi

what is the meaning of the symbol " ".....?

thanks in advance ....

It's a formatting error. Edited. Thank you.
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Re: The speed of light is approximately 1,86* 10^5 miles per second. This  [#permalink]

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_________________ Re: The speed of light is approximately 1,86* 10^5 miles per second. This   [#permalink] 30 Aug 2018, 11:19
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