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A certain bridge is 4,024 feet long. Approximately how many minutes...

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A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)

(A) 1
(B) 2
(C) 4
(D) 6
(E) 7
[Reveal] Spoiler: OA
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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New post 26 May 2016, 21:59
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In this question unit of measurements have to be taken care of.

Distance: 4024 feet. This is (4024/5280) miles = 0.76 miles

Speed: 20 miles per hour

Time: (Distance / Speed) (0.76/20) {This will come in Hours}. Multiply by 60 to get answer in minutes. It is 2.28 minutes.

Answer to be 2 minutes.
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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nalinnair wrote:
A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)

(A) 1
(B) 2
(C) 4
(D) 6
(E) 7


First, convert the speed to feet per minute.

20 miles per hour = ( 20 * 5280 ) feet per 60 minutes.

Time = \(\frac{Distance}{Speed}\) = \(\frac{4024}{(20 * 5280 ) / 60}\) = \(\frac{4024 *60}{20 * 5280}\) = \(\frac{4024 * 3}{5280}\) = \(\frac{4024}{5280}\)*3

\(\frac{4024}{5280}\) < 1. Therefore, Time < 3.

We can eliminate (A) because \(\frac{4024}{5280}\) is not equal to \(\frac{1}{3}\). The only answer choice remaining is (B). Therefore, (B) is the answer.
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A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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New post 14 Jun 2016, 12:57
~3/4 miles/(1/3) mpm=~2 minutes
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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Here's another method that allowed me to solve the question in approximately 30 seconds:

20 miles per hour translates to traveling 1 mile every 3 minutes. Since the bridge is longer than 1/2 mile but shorter than 1 mile, the answer must be between 1.5 and 3 minutes. The only answer choice that fits this range is 2 minutes.
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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Does anyone have a tip for a quick way to solve the division of 4024/5280? This is where I spend the majority of my time on the problem and am wondering if I can do something faster. I do a lot of trial and error.
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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New post 20 Mar 2017, 01:56
nalinnair wrote:
A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)

(A) 1
(B) 2
(C) 4
(D) 6
(E) 7


distance = 4024 ft = 4024/5280 miles

time taken = 4024/5280*20 hours= 0.76 hours = 2.28 minutes close to 2 minutes

option B
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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Hi amandakay,

The GMAT would never expect you to calculate the exact value of 4024/5280, so if you're ever thinking about doing something so "calculation heavy", then there's almost certainly a faster or easier way to get to the correct answer. In this prompt, you should notice the word "approximately" - that means that you DON'T have to calculate that fraction, but you do have to estimate the value.

If we 'round down', then 4024 ft./5280 ft. is a little less than 4/5 of a mile. Knowing THAT, and that 20 mph is 1 mile every 3 minutes, can you correctly answer the question?

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A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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Approximation!



D=4000
R=20mph
Convert it to miles per minutes = \(\frac{20}{60}\)
R = \(\frac{1}{3}\)

1 mile = approx 5000 feet

\(T=\frac{D}{R}\) \(=\frac{(4000*3)}{5000}\) \(=\frac{12000}{5000}\) \(=\frac{12}{5}\) = 2.4

Since the denominator is slightly more than 5000, the value will be less than 2.4.
i.e B
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes... [#permalink]

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New post 07 Apr 2018, 03:52
nalinnair wrote:
A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)

(A) 1
(B) 2
(C) 4
(D) 6
(E) 7


hello friends :)

here is a quick way to solve it

if 20 miles = 60 min---> then 1 mile = 3 min

if length of bridge (4,024 feet) is shorter than 1 mile (5,280 feet)

then only option is B :)
Re: A certain bridge is 4,024 feet long. Approximately how many minutes...   [#permalink] 07 Apr 2018, 03:52
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