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Cheech and Chong were traveling back home to Los Angeles

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mejia401
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Cheech and Chong were traveling back home to Los Angeles [#permalink] Cheech and Chong were traveling back home to Los Angeles   10 Aug 2015, 03:46
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72% (02:52) correct 28% (02:54) wrong based on 129 sessions
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Cheech and Chong were traveling back home to Los Angeles (L.A.) from a "business trip" in Mexico when they pulled into a gas station from where Poncho of California Highway Patrol was just leaving. They know California Highway Patrol drives 60 mph, while they tend to drive 75 mph. If they don't want cross Poncho again and San Diego is almost 225 miles away, where Poncho exits the highway for his station, what is the least amount of time, in minutes, Cheech and Chong should hang out at the gas station before continuing their journey to L.A.? (Note. L.A. is farther away from San Diego from Mexico.)

A. \(40\) minutes
B. \(42\) minutes
C. \(44\) minutes
D. \(46\) minutes
E. \(48\) minutes
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D
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jakeqs
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Re: Cheech and Chong were traveling back home to Los Angeles [#permalink] Cheech and Chong were traveling back home to Los Angeles   18 Feb 2016, 09:51
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Don't know if the answer on here is right. Seems like it should be:
Police: 225 miles/60Mph = 3.75 hours
Cheech: 225 miles/ 75 mph = 3 hours
3.75-3=.75 hours = 45 minutes so they should leave 45+1 minute so they don't need in SD. so D.
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Re: Cheech and Chong were traveling back home to Los Angeles [#permalink] Cheech and Chong were traveling back home to Los Angeles   18 Feb 2016, 21:28
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mejia401
Cheech and Chong were traveling back home to Los Angeles (L.A.) from a "business trip" in Mexico when they pulled into a gas station from where Poncho of California Highway Patrol was just leaving. They know California Highway Patrol drives 60 mph, while they tend to drive 75 mph. If they don't want cross Poncho again and San Diego is almost 225 miles away, where Poncho exits the highway for his station, what is the least amount of time, in minutes, Cheech and Chong should hang out at the gas station before continuing their journey to L.A.? (Note. L.A. is farther away from San Diego from Mexico.)

A. \(40\) minutes
B. \(42\) minutes
C. \(44\) minutes
D. \(46\) minutes
E. \(48\) minutes

Long question stem and too many place names but here is the gist:

Gas station is 225 miles away from San Diego.
Patrol car starts from the gas station towards San Diego at 60 mph
Our "businessmen" will also start from gas station and reach San Diego and then further on at 75 mph.

If they start right away, they will cross the patrol car soon since they are faster than the patrol car.
If they don't want to cross the patrol car again, they should reach San Diego after the patrol car has already reached. The patrol car will take 225/60 = 3.75 hrs = 3 hrs and 45 mins to reach San Diego.
The businessmen will take 225/75 = 3 hrs to reach San Diego.

So if they start 45 mins later, they will both reach San Diego at the same time.

So they should start 46 mins later so that they never cross the patrol car.

Answer (D)
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Re: Cheech and Chong were traveling back home to Los Angeles [#permalink] Cheech and Chong were traveling back home to Los Angeles   19 Feb 2016, 15:34
let t=time of Poncho's trip=225/60=3.75 hours
let w=C&C's waiting time at gas station
75(t-w)=60(t)
w=t/5=3.75/5=.75 hours=45 minutes
45 minutes+1 minute to avoid meeting in San Diego=46 minutes
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Re: Cheech and Chong were traveling back home to Los Angeles [#permalink] Cheech and Chong were traveling back home to Los Angeles   24 May 2020, 08:13
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mejia401
Cheech and Chong were traveling back home to Los Angeles (L.A.) from a "business trip" in Mexico when they pulled into a gas station from where Poncho of California Highway Patrol was just leaving. They know California Highway Patrol drives 60 mph, while they tend to drive 75 mph. If they don't want cross Poncho again and San Diego is almost 225 miles away, where Poncho exits the highway for his station, what is the least amount of time, in minutes, Cheech and Chong should hang out at the gas station before continuing their journey to L.A.? (Note. L.A. is farther away from San Diego from Mexico.)

A. \(40\) minutes
B. \(42\) minutes
C. \(44\) minutes
D. \(46\) minutes
E. \(48\) minutes

Solution:

It takes Poncho 225/60 = 3.75 hours to drive from the gas station to San Diego, while it takes Cheech and Chong 225/75 = 3 hours to drive the same distance. Since 3.75 - 3 = 0.75 hr = 45 min and they don’t want to encounter Poncho during their trip, they should wait 1 additional minute, i.e., they should wait 46 minutes.

Answer: D
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Re: Cheech and Chong were traveling back home to Los Angeles [#permalink] Cheech and Chong were traveling back home to Los Angeles   02 Aug 2024, 14:24
Hello from the GMAT Club BumpBot!

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Re: Cheech and Chong were traveling back home to Los Angeles [#permalink]
02 Aug 2024, 14:24
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