If 3 miles are equivalent to 4.83 kilometers, then 11.27 kilometers ar

Question

If 3 miles are equivalent to 4.83 kilometers, then 11.27 kilometers are equivalent to how many miles?

(A) 2

(B) 5

(C) 7

(D) 6 1/2

(E) 7 1/3

Bunuel · Answer

Check other  Conversion problems  to practice in  Special Questions Directory .

pushpitkc · Answer

Since 3 miles are equal to 4.83 kilometers, 1 mile is  \frac{4.83}{3}  kilometers.

Therefore, 11.27 kilometers will be  11.27*\frac{3}{4.83} = \frac{4.83*7}{3}*\frac{3}{4.83} = 7  miles (Option C)

P.S On the GMAT, the numbers are chosen mostly such that they cancel each other out.
Here 11.27 is x times over 4.83 => x =  \frac{11.27}{4.83} = \frac{7}{3}

CLIMBTHELADDER · Answer

Simply set-up a proportion:

3/4.83 = x / 11.27

When dividing decimals multiply both terms by 100. We find 7.

exc4libur · Answer

4.83 km = 3 miles
1 km = 3/4.83 miles
11.27 km = 11.27 • 3/4.83 miles
11.27•300/483=11.27•100/161=1127/161=161/23=7 (23*10=230, 23* =115, 115+(23* )=161=23* )

Answer (C)

ScottTargetTestPrep · Answer

We can create the proportion:

3/4.83 = n/11.27

33.81 = 4.83n

7 = n

Answer: C

KarishmaB · Answer

We may feel that the problem expects us to do a difficult calculation (11.27/4.83) but it doesn't (Such big divisions are usually tiresome).

First thing to note is that since 4.83 km is 3 miles, more than double of that (11.27 miles) will certainly be more than 6 miles. 
We have 3 options of more than 6 miles and only one of them is an integer.

No. of miles  = \frac{11.27}{4.83} * 3

Since 483 is divisible by 3,
No of miles  = \frac{1127}{161}

Now, if the answer is 7, 1127 must be 161 * 7. A quick calculation shows that it is. Had it turned out to be more than 1127, then we would have known that the answer is 6 1/2. Had it turned out to be less than 1127, we would have know that the answer is 7 1/3.

Answer (C)

ruis · Answer

This was my approach but I am not sure if it is OK
3 mi = 4,83 km- Then 6 mi = 9,66 km and 9 mi = 14,49 km
Then answer choices A and B are out. We know it is less than 9 miles...
14,49 - 11,27 = 3,2
3,2/4,8 = 2/3. And 2/3 of 3 miles is 2 miles
9 miles - 2 miles = 7 miles

Please correct me if I am wrong

bumpbot · Answer

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

If 3 miles are equivalent to 4.83 kilometers, then 11.27 kilometers ar

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

If 3 miles are equivalent to 4.83 kilometers, then 11.27 kilometers ar

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards