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Sub 505 Level|   Distance and Speed Problems|                  
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When working on a rate question (one involving distance or work) remember to always jot down the formula - Distance = speed*time. Also make sure to be aware of the units used and the possible need for conversion.

The rate is given in miles/hour, but we are looking for an answer in miles/minute

D=S*T
120 miles = 400 miles/hr * 1 hr/60 min * T
120 miles = 20 miles/3 mins * T
120 miles * 3 mins/20 miles = T
18 minutes = t Answer Choice E

Remember you can save time on this problem by calculating in fewer steps; I described every step to give a comprehensive view to students of all different levels. Remember that you have approximately 2 minutes to solve a GMAT Quantitative Question (you need to answer every question in the section), so whenever you can save time please do :)
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Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

How many minutes does it take to travel 120 miles at 400 miles per hour?

(A) 3
(B) 3 1/3
(C) 8 2/3
(D) 12
(E) 18


Difficulty level : sub 500 (not even required to calculate).

120/400 * 60 = 18 mins - Option E)
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400 miles=1 hr or 60 min.
1 mile=6/40 min.
120 miles=6/40*120=18 min.
Ans:E
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it takes 15 min to make 100 miles, so we cut-off 4 choices.
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(120/400)*60 = 18 mins
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Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

How many minutes does it take to travel 120 miles at 400 miles per hour?

(A) 3
(B) 3 1/3
(C) 8 2/3
(D) 12
(E) 18

Time = \frac{Distance}{Speed}

Time = \frac{120}{400} Hours. (Note the units)
For getting answers in minute, multiply it by 60 (1 hour = 60 minute)
= 18 minutes

E is the answer.
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Time= Distance / Speed
= 120/400
=3/10 hours
=(3/10)*60 minutes
= 18 minutes
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Bunuel

How many minutes does it take to travel 120 miles at 400 miles per hour?

(A) 3
(B) 3 1/3
(C) 8 2/3
(D) 12
(E) 18

Time = distance/rate
Plug-in values to get: Time = (120 miles)/(400 miles per HOUR)
= 120/400 HOURS
= 12/40 HOURS
= 3/10 HOURS
So the travel time = 3/10 of one HOUR
Replace one HOUR with 60 minutes to get: travel time = 3/10 of 60 MINUTES
Simplify: : travel time = 18 MINUTES

Answer: E
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Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND Edition

How many minutes does it take to travel 120 miles at 400 miles per hour?

(A) 3
(B) 3 1/3
(C) 8 2/3
(D) 12
(E) 18

Problem Solving
Question: 23
Category: Arithmetic Operations on rational numbers
Page: 64
Difficulty: 500

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It takes 120/400 = 12/40 = 3/10 hours or 3/10 x 60 = 18 minutes to travel 120 miles at 400 mph.

Answer: E
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