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OG2016 PS If 1 kilometer is

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by lionsshare » Mon Aug 28, 2017 12:40 pm

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Difficulty—

If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles?

(A) 10/3
(B) 3
(C) 6/5
(D) 1/3
(E) 3/10

OA: A
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by Brent@GMATPrepNow » Mon Aug 28, 2017 12:50 pm
lionsshare wrote:If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles?

(A) 10/3
(B) 3
(C) 6/5
(D) 1/3
(E) 3/10

OA: A
Let's use equivalent ratios...

We'll compare ratios in the form kilometers/miles

If 1 kilometer is approximately 0.6 miles, which of the following best approximates the number of kilometers in 2 miles?
Let x = the number of kilometers that are equal to 2 miles

We can write the equation: 1/0.6 = x/2
Cross multiply to get: (1)(2) = (0.6)(x)
Simplify: 2 = 0.6x
Rewrite 0.6 as a fraction to get: 2 = (3/5)x
Multiply both sides by 5/3 to get: (5/3)(2) = (5/3)(3/5)x
Simplify: 10/3 = x

Answer: A
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by [email protected] » Mon Aug 28, 2017 2:23 pm
Hi lionsshare,

We're told that 1 kilometer is approximately 0.6 miles. We're asked which answer best approximates the number of kilometers in 2 miles.

While the answer choices to this question are all fractions, they are 'spaced out' enough that we can use them 'against' the prompt and avoid doing lots of math.

Since 1km = .6 miles, we can start 'counting' kilometers until we get close to the total that we're looking for....

1km = .6 miles
2km = 1.2 miles
3km = 1.8 miles

At this point, we're pretty close to 2 miles, but we would need a little more to get to that value. Thus, we're looking for an answer that is a little more than 3km. There's only one answer that fits.

Final Answer: A

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by Jay@ManhattanReview » Tue Aug 29, 2017 8:57 pm
lionsshare wrote:If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles?

(A) 10/3
(B) 3
(C) 6/5
(D) 1/3
(E) 3/10

OA: A
We are given that 1 kilometer = ~ 0.6 miles

Thus, 1 mile = 1/0.6 kilometers

=> 2 miles = 2/0.6 kilometers

=> 2 miles = 1/0.3 kilometers

=> 2 miles = 1 / (3/10) kilometers

2 miles = ~10/3 kilometers

The correct answer: A

Hope this helps!

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by Jeff@TargetTestPrep » Tue Apr 10, 2018 10:33 am
lionsshare wrote:If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles?

(A) 10/3
(B) 3
(C) 6/5
(D) 1/3
(E) 3/10
To solve, we must convert 2 miles to kilometers. We are given that 1 kilometer = 0.6 mile. Thus, we can convert 2 miles to kilometers.

2 miles x (1 kilometer)/(0.6 mile)

Notice that we put the unit "mile" in the denominator of our unit conversion ratio so that it will cancel out with "miles" in the numerator, and we will be left with kilometers.

2/0.6 kilometers

We can multiply the entire fraction by 10/10 to get rid of the decimal and we are left with:

20/6 = 10/3 kilometers

Answer: A

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