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It takes Carla three hours to drive to her brothers house at an avera
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25 May 2023, 22:53
25 May 2023, 22:53
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It takes Carla three hours to drive to her brother’s house at an average speed of 50 miles per hour. If she takes the same route home, but her average speed is 60 miles per hour, what is the time, in hours, that it takes her to drive home?
A. 2 hours
B. 2 hours and 14 minutes
C. 2 hours and 30 minutes
D. 2 hours and 45 minutes
E. 3 hours
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A. 2 hours
B. 2 hours and 14 minutes
C. 2 hours and 30 minutes
D. 2 hours and 45 minutes
E. 3 hours
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
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Re: It takes Carla three hours to drive to her brothers house at an avera
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27 May 2023, 22:51
27 May 2023, 22:51
1
Expert Reply
To solve this problem, we can use the formula: time = distance / speed.
Let's assume the distance between Carla's house and her brother's house is D.
When Carla drives to her brother's house at an average speed of 50 miles per hour, the time it takes is given by:
Time = Distance / Speed
Time = D / 50
We are given that Carla takes 3 hours to drive to her brother's house, so we can write the equation:
3 = D / 50
To find the time it takes for Carla to drive home at an average speed of 60 miles per hour, we need to determine the distance between the two locations. Since Carla takes the same route home, the distance remains the same. Thus, D remains constant.
Using the formula for time:
Time = Distance / Speed
Time = D / 60
Now, we need to solve for the value of Time.
Since D / 50 = 3, we can solve for D:
D = 3 * 50
D = 150 miles
Now, substitute the value of D into the formula for the time to drive home:
Time = 150 / 60
Time = 2.5 hours
Therefore, it takes Carla 2.5 hours (or 2 hours and 30 minutes) to drive home.
The answer is (C) 2 hours and 30 minutes.
Let's assume the distance between Carla's house and her brother's house is D.
When Carla drives to her brother's house at an average speed of 50 miles per hour, the time it takes is given by:
Time = Distance / Speed
Time = D / 50
We are given that Carla takes 3 hours to drive to her brother's house, so we can write the equation:
3 = D / 50
To find the time it takes for Carla to drive home at an average speed of 60 miles per hour, we need to determine the distance between the two locations. Since Carla takes the same route home, the distance remains the same. Thus, D remains constant.
Using the formula for time:
Time = Distance / Speed
Time = D / 60
Now, we need to solve for the value of Time.
Since D / 50 = 3, we can solve for D:
D = 3 * 50
D = 150 miles
Now, substitute the value of D into the formula for the time to drive home:
Time = 150 / 60
Time = 2.5 hours
Therefore, it takes Carla 2.5 hours (or 2 hours and 30 minutes) to drive home.
The answer is (C) 2 hours and 30 minutes.
gmatclubot
Re: It takes Carla three hours to drive to her brothers house at an avera [#permalink]
27 May 2023, 22:51
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