If Albert can travel 200 miles in 4 hours, how many hours will it take Albert

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If Albert can travel 200 miles in 4 hours, how many hours will it take Albert, traveling at the same constant rate, to travel 350 miles?

A. 5
B. 6
C. 7
D. 8
E. 10

Answer: C
Source: Princeton Review

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Hi All,

We're told that Albert can travel 200 miles in 4 hours. We're asked how many hours it will take Albert, traveling at the same constant rate, to travel 350 miles? The math behind this question can be approached in a number of different ways, including as a rate or as a ratio.

At a rate of 200 miles in 4 hours, Albert will travel 50 miles in 1 hour. Over a 7 hour trip, Albert would travel...

(7 hours)(50 miles/hour) = 350 miles

Final Answer: C

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BTGModeratorVI wrote:
Tue Mar 31, 2020 5:16 am
If Albert can travel 200 miles in 4 hours, how many hours will it take Albert, traveling at the same constant rate, to travel 350 miles?

A. 5
B. 6
C. 7
D. 8
E. 10

Answer: C
Source: Princeton Review
Since Albert has a rate of 200/4 = 50 mph, it will take him 350/50 = 7 hours to travel 350 miles.

Answer: C

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BTGModeratorVI wrote:
Tue Mar 31, 2020 5:16 am
If Albert can travel 200 miles in 4 hours, how many hours will it take Albert, traveling at the same constant rate, to travel 350 miles?

A. 5
B. 6
C. 7
D. 8
E. 10

Answer: C
Source: Princeton Review
A few options here.

One approach is to use equivalent ratios

Let t = time to travel 350 miles

Our ratio is distance traveled/time

We get: 200/4 = 350/t
Cross multiply to get: (200)(t) = (4)(350)
Simplify: 200t = 1400
Solve: t = 7 hours

Answer: C

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Brent
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