If 1 kilometer is approximately 0.6 mile, which of the following best approximates...

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AAPL wrote:
Wed Apr 08, 2020 1:33 am
Official Guide

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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AAPL wrote:
Wed Apr 08, 2020 1:33 am
Official Guide

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
Since \(0.6\) miles \(= 1\) km

\(\Rightarrow 1\) mile \(= \dfrac{1}{0.6}\) km

\(\Rightarrow 2\) miles \(= 2\cdot \dfrac{1}{0.6} = \dfrac{20}{6} = \dfrac{10}{3}\) km \(\Large{\color{green}\checkmark}\)

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AAPL wrote:
Wed Apr 08, 2020 1:33 am
Official Guide

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
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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