Question: 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
“If 1 kilometer is approximately 0.6 mile, which of the”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “The Official Guide for GMAT Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.
Solution and Explanation:
Approach Solution 1:
To solve this problem, we must convert 2 miles to kilometres. We are given that 1 kilometre = 0.6 mile. Thus, we can convert 2 miles to kilometres.
2 miles x (1 kilometre)/(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 kilometres.
2/0.6 kilometres
We can multiply the entire fraction by 10/10 to get rid of the decimal and we are left with:
20/6 = 10/3 kilometres.
Correct Answer: A
Approach Solution 2:
Let x = the number of kilometres 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
Correct Answer: A
Approach Solution 3:
Since 0.6 miles = 1 km
=> 1 mile = 1/0.6 km
=> 2 miles = 2*1/0.6 = 20/6 = 10/3 kms
Correct Answer: A
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