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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 spee

Expert replies
by VJesus12 » Sat Jan 30, 2021 11:11 pm

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Answers

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B

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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

Answer: B

Source: Official Guide
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Source: — Problem Solving |

VJesus12 wrote:
Sat Jan 30, 2021 11:11 pm
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

Answer: B

Source: Official Guide
Solution:

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.

Answer: B

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