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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
_________________
(A) 10/3
(B) 3
(C) 6/5
(D) 1/3
(E) 3/10
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SOLUTION
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
1 kilometer = 6/10 mile --> 1 mile = 1/(6/10) = 10/6 kilometer;
2 miles = 2*10/6 = 10/3 kilometers.
Answer: A.
_________________
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
1 kilometer = 6/10 mile --> 1 mile = 1/(6/10) = 10/6 kilometer;
2 miles = 2*10/6 = 10/3 kilometers.
Answer: A.
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Posts: 6,727
Bunuel
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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General Discussion
No of kilometer in 1 mile = 1/0.6 = 10/6
No of kilometer in 2 mile = 2* 10/6 = 10/3
Answer A
No of kilometer in 2 mile = 2* 10/6 = 10/3
Answer A
Since 0.6 miles = 1 km
=> 1 mile = 1/0.6 KM
=> 2 miles = 2*1/0.6 = 20/6 = 10/3 KMs
Hence A.
=> 1 mile = 1/0.6 KM
=> 2 miles = 2*1/0.6 = 20/6 = 10/3 KMs
Hence A.
Bunuel
This is one of question that you can solve if you know something about real world
1 mile is 1.6 km so 2 are 32 (or 3.2)
A must be the answer
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1 mile is 1.6 km so 2 are 32 (or 3.2)
A must be the answer
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Option A : 10/3
0.6 mile = 1 km
=> 2.0 mile = ? km
=> x = 2/0.6
= 10/3 km or 3.333 km
kudos
Ashwakann
0.6 mile = 1 km
=> 2.0 mile = ? km
=> x = 2/0.6
= 10/3 km or 3.333 km
kudos
Ashwakann
1 km 0.6 mile
X 2 mile
so cross multiply we get
2=0.6X
X=10/3
Answer A
X 2 mile
so cross multiply we get
2=0.6X
X=10/3
Answer A
SOLUTION
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
1 kilometer = 6/10 mile --> 1 mile = 1/(6/10) = 10/6 kilometer;
2 miles = 2*10/6 = 10/3 kilometers.
Answer: A.
Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
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
1 kilometer = 6/10 mile --> 1 mile = 1/(6/10) = 10/6 kilometer;
2 miles = 2*10/6 = 10/3 kilometers.
Answer: A.
Kudos points given to everyone with correct solution. Let me know if I missed someone.
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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.
PareshGmat
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\(\frac{2}{0.6} = \frac{20}{6} = \frac{10}{3}\)
Answer = A
Answer = A
Posts: 62
Bunuel
1k=0.6m
then m= 1/0.6
2m= 2/0.6
10/3
Schools: Tulane '18 (M$)
Posts: 12
1km = .6mi = 6/10mi
(10)1km = 6/10mi(10)
10km = 6mi
10/3km = 6/3mi
10/3km = 2mi
simple simple pattern
(10)1km = 6/10mi(10)
10km = 6mi
10/3km = 6/3mi
10/3km = 2mi
simple simple pattern
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Expert reply
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Bunuel
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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0.6 mile= 1 kilometer
2 miles= 1*2/0.6=10/3
2 miles= 1*2/0.6=10/3
I think it's easier if you just imagine or draw a graphical representation of the problem. Just draw a line representing the 2 miles and then approximately mark 0.6 miles (1 km) a few times along the line - it will become clear that the solution is 2/0.6.
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To solve this question, we set a proportion:
1km=0.6 mile
xkm=2mile,
Cross multiple, 2*1/0.6=10/3, mark A
1km=0.6 mile
xkm=2mile,
Cross multiple, 2*1/0.6=10/3, mark A
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Bunuel
If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles?
.6 miles = 1 km
1 mile = 1/.6 = 10/6 = 5/3 km
2 miles = 2 * 5/3 = 10/3 km
IMO A
GMAT 1: 760 Q51 V42
Posts: 10,057
1 Km = 0.6 miles = \(\frac{6}{10}\) miles or \(\frac{3}{5}\) miles
Therefore, 1 mile = \(\frac{5}{3}\) km
=> 2 miles: (2 * 1) miles = (2 * \(\frac{5}{3}\))km = \(\frac{10}{3}\)
Another logic:
1 km is slightly greater than half-mile (0.5) mile.
To get 2 miles, we need 4 * 0.5 = 2. Hence, we should get the answer close to 4 km and greater than 3 km as 3 * 0.5 = 1.5 miles only.
Option A: \(\frac{10}{3}\) = 3.33km
Answer A
Therefore, 1 mile = \(\frac{5}{3}\) km
=> 2 miles: (2 * 1) miles = (2 * \(\frac{5}{3}\))km = \(\frac{10}{3}\)
Another logic:
1 km is slightly greater than half-mile (0.5) mile.
To get 2 miles, we need 4 * 0.5 = 2. Hence, we should get the answer close to 4 km and greater than 3 km as 3 * 0.5 = 1.5 miles only.
Option A: \(\frac{10}{3}\) = 3.33km
Answer A
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