GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 10 Dec 2018, 19:06

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free lesson on number properties

December 10, 2018

December 10, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

# If a rocket can travel x/5 miles every y seconds, how many miles can i

Author Message
TAGS:

### Hide Tags

Board of Directors
Joined: 01 Sep 2010
Posts: 3294
If a rocket can travel x/5 miles every y seconds, how many miles can i  [#permalink]

### Show Tags

Updated on: 12 Jul 2018, 20:09
Top Contributor
2
00:00

Difficulty:

35% (medium)

Question Stats:

69% (01:13) correct 31% (01:25) wrong based on 35 sessions

### HideShow timer Statistics

If a rocket can travel $$\frac{x}{5}$$ miles every y seconds, how many miles can it travel in z minutes?

A. $$\frac{xy}{5z}$$

B. $$\frac{xz}{5y}$$

C. $$\frac{xyz}{6}$$

D. $$\frac{12xy}{z}$$

E. $$\frac{12xz}{y}$$

_________________

Originally posted by carcass on 12 Jul 2018, 08:38.
Last edited by Bunuel on 12 Jul 2018, 20:09, edited 1 time in total.
Renamed the topic.
Intern
Joined: 17 May 2018
Posts: 43
Re: If a rocket can travel x/5 miles every y seconds, how many miles can i  [#permalink]

### Show Tags

12 Jul 2018, 08:51
1
First we need to convert the first rate in minutes. If x/5 miles are traveled in y seconds, we need to divide this distance by y to find the distance traveled in 1 second.

distance traveled in 1 second = x/5y

Then let's find the distance traveled in 1 minute, by multiplying the previous distance by 60.

distance traveled in 1 minute: 60x/5y

Finally we need to multiply this distance by z to find the distance traveled in z minutes:

distance traveled in z minutes: 60xz/5y.

Reduce the fraction: 12xz/y.

_________________

¿Tienes que presentar el GMAT y no sabes por dónde empezar?
¡Visita GMAT para Principiantes y recibe el curso completo gratis!

Math Expert
Joined: 02 Aug 2009
Posts: 7100
Re: If a rocket can travel x/5 miles every y seconds, how many miles can i  [#permalink]

### Show Tags

12 Jul 2018, 09:16
2
carcass wrote:
If a rocket can travel $$\frac{x}{5}$$ miles every y seconds, how many miles can it travel in z minutes?

A. $$\frac{xy}{5z}$$

B. $$\frac{xz}{5y}$$

C. $$\frac{xyz}{6}$$

D. $$\frac{12xy}{z}$$

E. $$\frac{12xz}{y}$$

1) Algebraic method :-
$$\frac{x}{5}$$ in y seconds
so $$\frac{x}{5y}$$ in 1 second
or $$\frac{60x}{5y}=\frac{12x}{y}$$ in 60 seconds or 1 minute
therefore in z minutes $$\frac{12xz}{y}$$

2) substitution
take x = 5, so that 5/5 becomes 1
take y = 60 seconds, so that it becomes 1 minute
take z = 1
so 5/5 = 1 in 60 seconds or 1 minute which is same as z minute

substitute in choices and you should get 1 as the answer..
A. $$\frac{xy}{5z}......\frac{5*60}{5*1}\neq{1}$$

B. $$\frac{xz}{5y}..........\frac{5*1}{5*60}\neq{1}$$

C. $$\frac{xyz}{6}...........\frac{5*60*1}{6}\neq{1}$$

D. $$\frac{12xy}{z}.........\frac{12*5*60}{1}\neq{1}$$

E. $$\frac{12xz}{y}..........\frac{12*5*1}{60}=1$$...Answer

E
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Director
Joined: 31 Oct 2013
Posts: 844
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If a rocket can travel x/5 miles every y seconds, how many miles can i  [#permalink]

### Show Tags

12 Jul 2018, 11:58
1
carcass wrote:
If a rocket can travel $$\frac{x}{5}$$ miles every y seconds, how many miles can it travel in z minutes?

A. $$\frac{xy}{5z}$$

B. $$\frac{xz}{5y}$$

C. $$\frac{xyz}{6}$$

D. $$\frac{12xy}{z}$$

E. $$\frac{12xz}{y}$$

In y sec rocket can travel $$\frac{x}{5}$$ miles

In 1 sec rocket can travel (x/5) /y miles

In 60 sec rocket can travel (x/5)*60 / y miles

So, In 1 min ( 60 sec) rocket can travel$$\frac{12x}{y}$$ miles.

If in 1 min. rocket can travel $$\frac{12x}{y}$$ miles , in z min it will travel $$\frac{12xz}{y}$$ miles.

Thus the best answer is E.
Re: If a rocket can travel x/5 miles every y seconds, how many miles can i &nbs [#permalink] 12 Jul 2018, 11:58
Display posts from previous: Sort by