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Claudette traveled the first of a 60-mile trip at 20 miles p
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15 Jul 2018, 02:43
15 Jul 2018, 02:43
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85% (01:23) correct
14% (02:09) wrong based on 42 sessions
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Claudette traveled the first \(\frac{2}{3}\) of a 60-mile trip at 20 miles per hour (mph) and the remainder of the trip at 30 mph. How many minutes later would she have arrived if she had completed the entire trip at 20 mph?
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Re: Claudette traveled the first of a 60-mile trip at 20 miles p
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15 Jul 2018, 02:52
15 Jul 2018, 02:52
Expert Reply
Explanation
First, figure out how long it took Claudette to travel 60 miles under the actual conditions.
The first leg of the trip was \(\frac{2}{3}\)of 60 miles, or 40 miles.
To travel 40 miles at a rate of 20 miles per hour, Claudette spent \(\frac{40}{20}= 2\)hours = 120 minutes.
The second leg of the trip was the remaining 60 – 40 = 20 miles. To travel that distance at a rate of 30 miles per hour, Claudette spent \(\frac{20}{30}= \frac{2}{3}\)hours= 40 minutes.
In total, Claudette traveled for 120 + 40 = 160 minutes. Now consider the hypothetical trip. If Claudette had traveled the whole distance of 60 miles at 20
miles per hour, the trip would have taken \(\frac{180}{20}= 3\)hours= 180 minutes.
Finally, compare the two trips. The real trip took 160 minutes, so the hypothetical trip would have taken 180 – 160 = 20 minutes longer.
First, figure out how long it took Claudette to travel 60 miles under the actual conditions.
The first leg of the trip was \(\frac{2}{3}\)of 60 miles, or 40 miles.
To travel 40 miles at a rate of 20 miles per hour, Claudette spent \(\frac{40}{20}= 2\)hours = 120 minutes.
The second leg of the trip was the remaining 60 – 40 = 20 miles. To travel that distance at a rate of 30 miles per hour, Claudette spent \(\frac{20}{30}= \frac{2}{3}\)hours= 40 minutes.
In total, Claudette traveled for 120 + 40 = 160 minutes. Now consider the hypothetical trip. If Claudette had traveled the whole distance of 60 miles at 20
miles per hour, the trip would have taken \(\frac{180}{20}= 3\)hours= 180 minutes.
Finally, compare the two trips. The real trip took 160 minutes, so the hypothetical trip would have taken 180 – 160 = 20 minutes longer.
Re: Claudette traveled the first of a 60-mile trip at 20 miles p
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03 Aug 2021, 08:36
03 Aug 2021, 08:36
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
