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Re: If 1 kilometer is approximately 0.6 mile, which of the [#permalink]

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21 Aug 2014, 00:51

Another way to look at this is 0.6 mile is 1 kilometer so 1.8 miles is 3 kilometers, hence the answer should be greater than 3 and there is just one answer choice greater than 3, i.e. A.

Re: If 1 kilometer is approximately 0.6 mile, which of the [#permalink]

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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

Practice Questions Question: 63 Page: 160 Difficulty: 550

Solution:

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

The answer is A.
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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

Practice Questions Question: 63 Page: 160 Difficulty: 550

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