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

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

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16
1
3
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?

GMAT assassins aren't born, they're made,
Rich
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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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2
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.

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

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3
1

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

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1
Convert the rate from miles per hour to feet per minute.
20 miles per hour = 20*5280/60 = 1760
Now devide distance by rate to find time
Time = 4024/1760 =~2

Posted from my mobile device
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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

The length of the bridge, in miles, is:

4,024/5,280 = 503/660, which is about 500/660 = 50/66 = 25/33.

Using the formula: time = distance/rate, we see that the time, in hours, is:

[25/33]/20 = 25/(33 x 20) hours

So the time in minutes is:

25/(33 x 20) x 60 = (25 x 3)/33 = 25/11, which is about 2 minutes.

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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

I used a combination of algebra and backsolve to tackle this problem in <1min:

Figure out the rate in ft / min: $$\frac{20 mi}{hour}*\frac{*1 hr}{60 min}*\frac{1 mi}{5280 ft} = \frac{5280 ft}{3 min}$$

By examination, (B) is the only that makes the most sense. In other words, 4,024 is about 2/3 of 5,280.
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes...  [#permalink]

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need to determine approx value
4024*60 /5280 *20
~ 2mins
IMO B
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
Intern  B
Joined: 02 Nov 2019
Posts: 11
Re: A certain bridge is 4,024 feet long. Approximately how many minutes...  [#permalink]

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60 mins = 20 miles
x mins = 4000/5000 miles
20x=48
x=2,4
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Re: A certain bridge is 4,024 feet long. Approximately how many minutes...  [#permalink]

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EMPOWERgmatRichC wrote:
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?

GMAT assassins aren't born, they're made,
Rich

Exact same way, 20 miles per hour and question asks minutes
so 20/60= 1/3 => 1 mile in 3 min so it has to be greater than 2 and less than 3 Re: A certain bridge is 4,024 feet long. Approximately how many minutes...   [#permalink] 23 Jul 2020, 02:23

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