If Jim drives k miles in 50 minutes, how many minutes will it take him

Question

If Jim drives k miles in 50 minutes, how many minutes will it take him to drive 10 miles, at the same rate?

A. 500/k
B. k/500
C. 60k
D. 10k
E. 50/k

BrentGMATPrepNow · Answer

We can also approach this question in terms of  equivalent ratios

Jim drives k miles in 50 minutes  
We're comparing  miles traveled  to  minutes elapsed.  
Jim travels  k miles  for every  50 minutes.  
Our ratio is  k miles / 50 minutes

How many  minutes  will it take him to drive  10 miles , at the same rate?  
So, our ratio is  10 miles / ? minutes

So, our equation is:  k / 50  =  10 / ? 
Cross multiply to get: (?)(k) = (50)(10)
Simplify: (?)(k) = 500
Solve for ? to get: ? = 500/k

Answer: A

Cheers,
Brent

GMATinsight · Answer

K miles in 50 minutes
I.e. 1 mile in 50/k minutes
I.e. 10 miles in 10*50/k minutes = 500/k minutes

Answer : option A

JeffTargetTestPrep · Answer

Since rate = distance/time, Jim’s rate is k/50. We need to determine how many minutes it will take Jim to drive 10 miles.

time = distance/rate

time = 10/(k/50) = 10 x (50/k) = 500/k

Answer: A

EMPOWERgmatRichC · Answer

Hi All,

We're told that Jim drives K miles in 50 MINUTES. We're asked how many MINUTES it will take him to drive 10 miles at the same rate. This question can be solved rather easily by TESTing VALUES.

Since K can be any positive value, we can set K = 10. Thus, we know that Jim drives 10 miles in 50 minutes. The question asks how minutes Jim drives 10 miles.... so the answer is 50. Thus, we're looking for an answer that equals 50 when K=10. Only one answer matches...

Final Answer:  A

GMAT assassins aren't born, they're made, 
Rich

fskilnik · Answer

k\,\,{	ext{miles}}\,\,\,\, \leftrightarrow \,\,\,\,{	ext{50}}\,\,{	ext{minutes}}\,\,\,\,\,\,\, 
 {	ext{10}}\,\,{	ext{miles}}\,\,\,\, \leftrightarrow \,\,\,\,{	ext{?}}\,\,{	ext{minutes}}

This is a (direct) proportional problem, therefore a 10-year-child would probably do it (correctly) like that:

\frac{?}{{50}} = \frac{{10}}{k}\,\,\,\,\, \Rightarrow \,\,\,\,\,? = \frac{{500}}{k}

On the other hand, this is a trivial scenario for UNITS CONTROL, one of the most powerful tools of our method:

?\,\,\, = \,\,\,10\,\,{	ext{miles}}\,\,\,\left( {\frac{{50\,\,{	ext{minutes}}}}{{k\,\,{	ext{miles}}}}\begin{array}{*{20}{c}}
 
earrow \ 
 
earrow 
\end{array}} ight)\,\,\,\, = \,\,\,\,\frac{{500}}{k}\,\,\,\,\left

Obs.: arrows indicate licit converter.

This solution follows the notations and rationale taught in the GMATH method.

Regards, 
Fabio.

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If Jim drives k miles in 50 minutes, how many minutes will it take him

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