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The earth travels around the sun at a speed of approximately 18.5 mile

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The earth travels around the sun at a speed of approximately 18.5 mile [#permalink]

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New post 30 Aug 2015, 01:59
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The earth travels around the sun at a speed of approximately 18.5 miles per second. The approximate speed is how many miles per hour?

(A) 1,080
(B) 1,160
(C) 64,800
(D) 66,600
(E) 3,996,000
[Reveal] Spoiler: OA

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Re: The earth travels around the sun at a speed of approximately 18.5 mile [#permalink]

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New post 30 Aug 2015, 02:10
18.5miles/second x 60seconds/minute x 60minutes/hour = 18.5(60)(60) = 18.5(3600) = 185(360). Long multiplication to solve.

Is there a quicker way?


My initial method, as I try to avoid long multiplication was:
185 x 100 = 18500
20,000 x 3 = 60,000 - 4,500 = 55,500
185 x 60 = ~9300 (185x50)+ 1850 (185x10) = 11,500
45,000 + 11,000 = 66,000

However this is somewhat in the middle of C and D and therefore prone to error. I was even a little more liberal in my rounding while doing it the first time which placed my answer right in the middle of the two. Doing this also takes a toll on my brainpower and I think I should avoid it as it tires me out a bit, which is bad in the exam. It also ended up taking as long as a quickly done long multiplication.

Would you guys suggest just going for long multiplication? Or do you have a nicer, fast and accurate way to go through this?

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Re: The earth travels around the sun at a speed of approximately 18.5 mile [#permalink]

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New post 30 Aug 2015, 03:38
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Matthias15 wrote:
The earth travels around the sun at a speed of approximately 18.5 miles per second. The approximate speed is how many miles per hour?

(A) 1,080
(B) 1,160
(C) 64,800
(D) 66,600
(E) 3,996,000


This is a classic case of approximations as the options are too widespread.

18.5 mps to 18.5 mph with 1 h = 3600 seconds.

Thus 18.5 mps = 18.5*3600 = a bit more than 18*3600 = a bit more than 18*18*200 = a bit more than 324*2*100 = a bit more than 64800 . So eliminate C and mark D is the correct answer.

You need to remember squares from 1 to 20 for GMAT.

Hope this helps.

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Re: The earth travels around the sun at a speed of approximately 18.5 mile [#permalink]

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New post 30 Aug 2015, 04:20
Matthias15 wrote:
The earth travels around the sun at a speed of approximately 18.5 miles per second. The approximate speed is how many miles per hour?

(A) 1,080
(B) 1,160
(C) 64,800
(D) 66,600
(E) 3,996,000


Similar question to practice: the-earth-travels-around-the-sun-at-an-approximate-speed-of-20-miles-p-189377.html

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Re: The earth travels around the sun at a speed of approximately 18.5 mile [#permalink]

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New post 30 Aug 2015, 05:09
Engr2012 wrote:
Matthias15 wrote:
The earth travels around the sun at a speed of approximately 18.5 miles per second. The approximate speed is how many miles per hour?

(A) 1,080
(B) 1,160
(C) 64,800
(D) 66,600
(E) 3,996,000


This is a classic case of approximations as the options are too widespread.

18.5 mps to 18.5 mph with 1 h = 3600 seconds.

Thus 18.5 mps = 18.5*3600 = a bit more than 18*3600 = a bit more than 18*18*200 = a bit more than 324*2*100 = a bit more than 64800 . So eliminate C and mark D is the correct answer.

You need to remember squares from 1 to 20 for GMAT.

Hope this helps.


This is great! I'm going to practice this method. However I could still see a problem if the answers were, say, 65,000 and 66,600. I guess in this worst case scenario you could go back and calculate that 0.5 x 3600 and add it, which doesn't take that long. :)

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Re: The earth travels around the sun at a speed of approximately 18.5 mile [#permalink]

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Re: The earth travels around the sun at a speed of approximately 18.5 mile [#permalink]

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New post 09 Sep 2017, 04:05
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In 1 second the Sun travels approx 18.5 miles,i.e.
1S= 18.5
1min= 18.5×60
1hr= 18.5×60×60 = 66600

Answer is D.

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Re: The earth travels around the sun at a speed of approximately 18.5 mile   [#permalink] 09 Sep 2017, 04:05
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