Carl averaged 2m miles per hour on a trip that took him h hours. If Ru

Question

Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in  \frac{2}{3}h  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

PS68502.01
Quantitative Review 2020 NEW QUESTION

BrentGMATPrepNow · Accepted Answer

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

EgmatQuantExpert · Answer

Solution 
  Given  
In this question, we are given
 • Carl averaged 2m miles per hour on a trip that took him h hours. 
• Ruth made the same trip in 2/3h hours

To Find  
We need to determine
 • The average speed of Ruth, in miles per hour.

Approach & Working  
Both of them are making the same trip, hence, the distance covered by both of them will be the same.
 • Distance covered by Carl = 2m * h miles = 2mh miles
• Distance covered by Ruth = speed of Ruth * 2/3h miles

As the distance is same, we can write
 • 2mh = speed of Ruth * 2/3h
Or, speed of Ruth = 3m

Hence, the correct answer is option E.

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-WP-e1533292133520.png

ScottTargetTestPrep · Answer

The distance of the trip is 2mh.

So Ruth’s average speed was:

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

Answer: E

AyushCrackVerbal · Answer

Formula : Speed = \frac{Distance}{Time}

For Carl:

Speed = 2m miles/hour

Time = h hours

Distance = Speed * Time = 2m * h = 2mh miles

For Ruth :

Distance = Same as that of Carl = 2mh miles

Time = 2h/3

Speed = \frac{Distance}{Time}  =  \frac{2mh}{2h/3}  = 3m miles/hour

The correct answer is  E

GMATinsight · Answer

Check two different methods to answer the question.

Method 2 might sound really impressive.

Answer: Option E

https://www.youtube.com/watch?v=COiDWO24Syg

rkoberoi · Answer

Distance = S x T

Speed and Time are inversely proportional to each other, if distance is same.

Time changed from h hours to 2/3 h hours

hence, Speed will change from 2m miles per hour to 3/2 x 2m miles per hour

= 3m

Varunsawhney8 · Answer

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

We know
2m(h)=(h/3)Speed
Speed= 3m

Basshead · Answer

Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in  \frac{2}{3}h  hours, what was her average speed in miles per hour?

distance = rate * time
 
If Carl's distance =  2m * h

Ruth traveled that SAME distance in  \frac{2h}{3}  hours.

Distance/time = rate

2mh /\frac{2h}{3}  =  \frac{3}{2}(2m) = 3m

Answer is E.

Sneha2021 · Answer

We don't need to do any calculation if we know the relation btw speed and time for same distance.
If time taken is less for the same distance, speed is more.
If 2/3h is less than h, so speed should be more than 2m. 
Only E is more than 2m

100mitra · Answer

Speed  = (Distance / Time) = 2 miles / (2/3) hour = 6/2 =  3 (miles / hour)  =  Option E

Kavicogsci · Answer

If Y travels a/b times as fast as X, then Y's travel time will be b/a of X's travel time if it is same distance

As Ruth takes 2/3rd time, her speed will be 3/2 of 2m = 6m

bumpbot · Answer

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Carl averaged 2m miles per hour on a trip that took him h hours. If Ru

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Carl averaged 2m miles per hour on a trip that took him h hours. If Ru

Prep Toolkit

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