BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Carl averaged 2m miles per hour on a trip that took

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Re: Carl averaged 2m miles per hour on a trip that took

by Brent@GMATPrepNow » Wed Mar 04, 2020 6:23 am
BTGModeratorVI wrote: ↑
Tue Mar 03, 2020 6:35 am
 Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in 23h23h hours, what was her average speed in miles per hour?

A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m

Answer: E
Source: Official Guide
Carl averaged 2m miles per hour on a trip that took him h hours
distance = (rate)(time)
So, Carl's travel distance = (2m)(h) = 2mh

If Ruth made the same trip in 2h/3 hours, what was her average speed in miles per hour?
average speed = distance/time
So, Ruth's average speed = (2mh)/(2h/3)
= (2mh)(3/2h)
= 6m/2
= 3m

Answer: E

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Re: Carl averaged 2m miles per hour on a trip that took

by swerve » Thu Mar 05, 2020 2:17 am
BTGModeratorVI wrote: ↑
Tue Mar 03, 2020 6:35 am
 Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in 23h23h hours, what was her average speed in miles per hour?

A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m

Answer: E
Source: Official Guide
We have the formula: \(\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}\)

Now, for Carl we have:

Speed \(= 2\)m miles/hour

Time \(= h\) hours

Therefore, \(\text{Distance} = \text{Speed} \cdot \text{Time} = 2m \cdot h = 2mh\) miles.

For Ruth we have:

Distance = Same as that of Carl \(= 2mh\) miles

Time \(= \dfrac{2}{3}h\)

Hence, \(\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} = \dfrac{2mh}{2h/3} = 3m\) miles/hour.

So, the correct answer is E
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: Carl averaged 2m miles per hour on a trip that took

by Scott@TargetTestPrep » Wed Mar 11, 2020 9:46 am
BTGModeratorVI wrote: ↑
Tue Mar 03, 2020 6:35 am
 Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in 23h23h hours, what was her average speed in miles per hour?

A. 1/3 mh
B. 2/3 mh
C. m
D. 3m/2
E. 3m

Answer: E
Source: Official Guide
The distance of the trip is 2mh.

So Ruth’s average speed was:

2mh/(2h/3) = 6mh/2h = 6m/2 = 3m

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1