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

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Tue Mar 03, 2020 6:35 am

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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

Source: Beat The GMAT — Problem Solving | Tue Mar 03, 2020 6:35 am

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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

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed 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

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

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

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