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A train traveled from station X to station Y at a constant speed of 88 [#permalink]
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Bunuel wrote:
A train traveled from station X to station Y at a constant speed of 88 feet per second. Is the distance that the train traveled from station X to Station Y greater than 40 miles? (1 mile = 5,280 feet)

(1) It took less than 45 minutes for the train to travel from station X to Station Y.
(2) It took more than 42 minutes for the train to travel from station X to Station Y


\(speed of train = \frac{88feet}{sec}= \frac{60.0012 miles}{hour} = \frac{1mile}{minute}\)

(1) It took less than 45 minutes for the train to travel from station X to Station Y.
INSUFFICIENT:- If the Train took less than 45 minutes then it has covered less than 45 mile. But we cannot determine precisely how many miles. Less than 45 can be anything from 1 to 44. Train may reach in 30 minutes or 38 minutes or 44 minutes hence distance can be 30 miles, 38 miles or 44 miles. Anything less than 45 miles.
(2) It took more than 42 minutes for the train to travel from station X to Station Y
SUFFICIENT:- We can confidently answer "YES, The distance is more than 40 Miles"

ANSWER IS B

Originally posted by LogicGuru1 on 23 Jun 2016, 03:43.
Last edited by LogicGuru1 on 05 Nov 2018, 05:41, edited 1 time in total.
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
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Bunuel wrote:
A train traveled from station X to station Y at a constant speed of 88 feet per second. Is the distance that the train traveled from station X to Station Y greater than 40 miles? (1 mile = 5,280 feet)

(1) It took less than 45 minutes for the train to travel from station X to Station Y.
(2) It took more than 42 minutes for the train to travel from station X to Station Y


Converting the speed to mile/hr:-

88*60*60/5280= 60 miles/hr

(1) It took less than 45 minutes for the train to travel from station X to Station Y.

distance = speed*time

since time <45 minutes, distance will be <60*45/60, i.e. <45.

But it may or may not be <40 miles.

(2) It took more than 42 minutes for the train to travel from station X to Station Y

distance> 60*42/60 i.e. >42.

Sufficient.

B is the answer
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
Quick question, how do you guys convert the mileage of the train so fast?

I wrote it out and the conversion alone took me forever. I'm obviously missing something...

88ft/1sec x 60sec/1min x 60min/1hr x 1mile/5280ft = 60

Any help or shortcuts? Thanks!
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
Mavs1205 wrote:
Quick question, how do you guys convert the mileage of the train so fast?

I wrote it out and the conversion alone took me forever. I'm obviously missing something...

88ft/1sec x 60sec/1min x 60min/1hr x 1mile/5280ft = 60

Any help or shortcuts? Thanks!



just divide 5280 by 88, and you will get number of seconds the train needs to cover 1 mile. that's it...

hope this helps
cheers ...
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
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Bunuel wrote:
A train traveled from station X to station Y at a constant speed of 88 feet per second. Is the distance that the train traveled from station X to Station Y greater than 40 miles? (1 mile = 5,280 feet)

(1) It took less than 45 minutes for the train to travel from station X to Station Y.
(2) It took more than 42 minutes for the train to travel from station X to Station Y


R = 88 feet per second => 60 miles per hour.
D > 40 ?

1) t < 45 minutes
t = 44 minutes.
D > 40 miles (Yes)
t = 20 minutes
D < 40 miles (No)
Insufficient.

2) t > 42 minutes
t = 42.1 minutes
D = \(\frac{42.1}{60}\) * 60 = 42.1 miles
Sufficient.

Answer is B.
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
A train traveled from station X to station Y at a constant speed of 88 feet per second. Is the distance that the train traveled from station X to Station Y greater than 40 miles? (1 mile = 5,280 feet)

1 mile = 5,280 feet
We're told the train travels at a constant speed of 88 feet per second.

5,280 feet / 88 feet = 60 seconds per mile.

To determine if the distance that train traveled from Station X to Station Y is greater than 40 miles, we need to determine if the train traveled for more than 40 minutes. If we can answer with certainty, the statement will be sufficient.

(1) It took less than 45 minutes for the train to travel from station X to Station Y.

Train could have traveled for 1 minute or 42 minutes. Not sufficient.

(2) It took more than 42 minutes for the train to travel from station X to Station Y

42 minutes = at least 42 miles. Sufficient.

Answer is B.
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
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Bunuel wrote:
A train traveled from station X to station Y at a constant speed of 88 feet per second. Is the distance that the train traveled from station X to Station Y greater than 40 miles? (1 mile = 5,280 feet)

(1) It took less than 45 minutes for the train to travel from station X to Station Y.
(2) It took more than 42 minutes for the train to travel from station X to Station Y



is there a shortcut to answer this kind of questions? they always take me a LOT of time to answer.
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A train traveled from station X to station Y at a constant speed of 88 [#permalink]
The question gives you the speed in feet/second, but the statements give you time in minutes and the question asks you if the distance is over X miles. The first thing I would do is convert the speed from feet/sec to miles/minute.
To do this, we would do 88ft/sec * 60 sec/min / 5280ft/mile = 1 mile/minute

Statement 1 tells us that the time was less than 45 minutes, which means the distance is less than 45 miles. Does that mean the distance is greater than 40? No. It could be 43 or 35.

Statement 2 tells us that the time was greater than 42 minutes, which means the distance is more than 42 miles. Does that mean the distance is greater than 40 miles? Yes. distance > 42 means the distance is also > 40.
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
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question seen in GMAT Prep # 6
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
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sm1510 wrote:
question seen in GMAT Prep # 6


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Added the tag. Thank you.
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Re: A train traveled from station X to station Y at a constant speed of 88 [#permalink]
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