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

 It is currently 17 Oct 2019, 01:04

### 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

# A plane traveled k miles in its first 96 minutes of flight time.

Author Message
TAGS:

### Hide Tags

Intern
Joined: 05 Jan 2016
Posts: 7
Location: Pakistan
Concentration: Marketing, Human Resources
GPA: 3.05
WE: Marketing (Retail)
A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

26 Jan 2017, 06:37
14
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:56) correct 34% (02:19) wrong based on 382 sessions

### HideShow timer Statistics

A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in miles per hour, for the entire trip?

(A) $$\frac{60(k + 300)}{(96 + t)}$$
(B) $$\frac{(kt + 96(300))}{96t}$$
(C) $$\frac{(k + 300)}{60(96 + t)}$$
(D) $$\frac{5k}{8} + \frac{60(300)}{t}$$
(E) $$\frac{5k}{8} + 5t$$

Project PS Butler : Question #32

VP
Joined: 05 Mar 2015
Posts: 1012
Re: A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

26 Jan 2017, 06:48
4
arslanama wrote:
A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in
miles per hour, for the entire trip?

(A) 60 ( k + 300 )/96 + t
(B) kt + 96 ( 300 ) / 96t
(C) k + 300 / 60 ( 96 + y )
(D) (5k / 8) + (60(300) / t)
(E) (5k / 8) + 5t

total distance covered = K+300 miles
total time taken = 96+t minutes or (96+t)/60 hrs

avg speed = total distance / total time
= (k+300) / {(96+t)/60 } miles/hr
=60 ( k + 300 )/96 + t

Ans A
Math Expert
Joined: 02 Sep 2009
Posts: 58427
Re: A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

26 Jan 2017, 10:22
arslanama wrote:
A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in
miles per hour, for the entire trip?

(A) 60 ( k + 300 )/96 + t
(B) kt + 96 ( 300 ) / 96t
(C) k + 300 / 60 ( 96 + y )
(D) (5k / 8) + (60(300) / t)
(E) (5k / 8) + 5t

Check other Conversion problems to practice from our Special Questions Directory.
_________________
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2816
Re: A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

30 Jan 2017, 17:56
1
arslanama wrote:
A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in
miles per hour, for the entire trip?

(A) 60 ( k + 300 )/96 + t
(B) kt + 96 ( 300 ) / 96t
(C) k + 300 / 60 ( 96 + y )
(D) (5k / 8) + (60(300) / t)
(E) (5k / 8) + 5t

We are given that a plane traveled k miles in 96 minutes. Since we need the average speed in miles per hour we can convert 96 minutes to hours.

96 minutes = 96/60 = 8/5 hours

We are also given that the plane completed the remaining 300 miles in t minutes. We must also convert t minutes to hours.

t minutes = t/60 hours

Now we can calculate the average speed for the entire trip, using the formula for average speed.

Average speed = total distance/total time

Average speed = (k + 300)/(8/5 + t/60) = (k + 300)/(96/60+t/60)

Average speed = (k + 300)/((96 + t)/60)

Average speed = 60(k + 300)/(96 + t)

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

12 Sep 2018, 14:56
arslanama wrote:
A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in
miles per hour, for the entire trip?

(A) 60 ( k + 300 )/(96 + t)
(B) kt + 96 ( 300 ) / 96t
(C) k + 300 / 60 ( 96 + y )
(D) (5k / 8) + (60(300) / t)
(E) (5k / 8) + 5t

Simple application of UNITS CONTROL, one of the most powerful tools of our method!

$$? = \frac{{\left[ {{\text{total}}\,\,\# \,\,{\text{miles}}} \right]}}{{\left[ {{\text{total}}\,\,\# \,\,\min } \right]}}\,\,\frac{{{\text{miles}}}}{{\min }}\,\,\,\left( {\frac{{60\,\,\min }}{{1\,\,\,{\text{h}}}}\,\,\begin{array}{*{20}{c}} \nearrow \\ \nearrow \end{array}} \right)\,\,\, = \,\,60 \cdot \left( {\frac{{\left[ {{\text{total}}\,\,\# \,\,{\text{miles}}} \right]}}{{\left[ {{\text{total}}\,\,\# \,\,\min } \right]}}} \right)\,\,\,{\text{mph}}\,\,\,$$

(Arrows indicate licit converter.)

$$\left[ {{\text{total}}\,\,\# \,\,{\text{miles}}} \right] = k + 300$$

$$\left[ {{\text{total}}\,\,\# \,\,\min } \right]\,\,{\text{ = }}\,\,96 + t$$

$$? = \frac{{60\,\left( {k + 300} \right)}}{{96 + t}}\,\,$$

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

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15263
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

23 Dec 2018, 14:05
Hi All,

We're told that a plane traveled K miles in its first 96 minutes of flight time and it completed the remaining 300 miles of the trip in T minutes. We're asked for the average speed of the plane, in miles per hour, for the entire trip. This question can be solved by TESTing VALUES.

IF... K = 300 and T = 96...
then the plane traveled 300+300 = 600 miles in 96+96 = 192 minutes

We're asked for the average speed in miles/HOUR though, so we have to go the extra step of converting minutes to hours. This can be done in a couple of different ways: either by dividing 192 by 60 OR by multiplying the fraction (600/192) by 60. If you take the second approach, then you can actually avoid the physical math and just look for the answer that matches the 'look' of the fraction: 60(600/192). There's only one answer that matches...

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com

The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
Director
Joined: 04 Dec 2015
Posts: 743
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

23 Dec 2018, 19:52
arslanama wrote:
A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in miles per hour, for the entire trip?

(A) $$\frac{60(k + 300)}{(96 + t)}$$
(B) $$\frac{(kt + 96(300))}{96t}$$
(C) $$\frac{(k + 300)}{60(96 + t)}$$
(D) $$\frac{5k}{8} + \frac{60(300)}{t}$$
(E) $$\frac{5k}{8} + 5t$$

Total Distance $$= k + 300$$

Total Time (in minutes) $$= 96 + t$$

Total Time (in hours) $$= \frac{96}{60} + \frac{t}{60} = \frac{96 + t}{60}$$

Average Speed $$= \frac{Distance}{Time}$$

Average Speed $$= \frac{(k +300)}{\frac{(96+t)}{60}}$$ $$= \frac{60 (k+300)}{(96+t)}$$

Director
Joined: 09 Mar 2018
Posts: 995
Location: India
Re: A plane traveled k miles in its first 96 minutes of flight time.  [#permalink]

### Show Tags

09 Feb 2019, 05:25
arslanama wrote:
A plane traveled k miles in its first 96 minutes of flight time. If it completed the remaining 300 miles of the trip in t minutes, what was its average speed, in miles per hour, for the entire trip?

(A) $$\frac{60(k + 300)}{(96 + t)}$$
(B) $$\frac{(kt + 96(300))}{96t}$$
(C) $$\frac{(k + 300)}{60(96 + t)}$$
(D) $$\frac{5k}{8} + \frac{60(300)}{t}$$
(E) $$\frac{5k}{8} + 5t$$

KeyWord =miles per hour

60 mins 1 hr
1 min = 1/60 hr
96 mins = 96/60 hr = 8/5 hr

8/5 hr, k miles

1 min = 1/60 hr
t mins = t/60 hr

Average speed = 300 + k / [ 8/5 + t/60]

$$\frac{60(k + 300)}{(96 + t)}$$

A
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
Re: A plane traveled k miles in its first 96 minutes of flight time.   [#permalink] 09 Feb 2019, 05:25
Display posts from previous: Sort by