Luke drives the first 300 miles of a trip at 60 miles an hour.

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

Luke drives the first 300 miles of a trip at 60 miles an hour.

by BTGModeratorVI » Tue Jul 07, 2020 6:20 am

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Luke drives the first 300 miles of a trip at 60 miles an hour. How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hours?

A. 60 mph
B. 90 mph
C. 100 mph
D. 120 mph
E. 200 mph

Answer: C
Source: Magoosh

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Source: Beat The GMAT — Problem Solving | Tue Jul 07, 2020 6:20 am

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

Re: Luke drives the first 300 miles of a trip at 60 miles an hour.

by Jay@ManhattanReview » Tue Jul 07, 2020 10:27 pm

BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:20 am
Luke drives the first 300 miles of a trip at 60 miles an hour. How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hours?

A. 60 mph
B. 90 mph
C. 100 mph
D. 120 mph
E. 200 mph

Answer: C
Source: Magoosh

At 60 mph, Luke would take 300/60 = 5 hours to cover 300 miles; thus, he has 7 – 5 = 2 hours to complete 200 miles. Thus, the average speed = 200/2 = 100 mph

Correct answer: C

Hope this helps!

-Jay
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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: Luke drives the first 300 miles of a trip at 60 miles an hour.

by Brent@GMATPrepNow » Wed Jul 08, 2020 5:35 am

BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:20 am
Luke drives the first 300 miles of a trip at 60 miles an hour. How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hours?

A. 60 mph
B. 90 mph
C. 100 mph
D. 120 mph
E. 200 mph

Answer: C
Source: Magoosh

Luke drives the first 300 miles of a trip at 60 miles an hour.
Time = distance/time
So, travel time = 300/60 = 5 hours

How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hours?
Luke has already spent 5 hours driving the first 300 miles.
In order to complete the trip in a TOTAL of 7 hours, Luke must complete the next 200 miles in 2 hours

Speed = distance/ time
So the speed needed for the second leg = 200/2 = 100 mph

Answer: C

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8084; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: Luke drives the first 300 miles of a trip at 60 miles an hour.

by Scott@TargetTestPrep » Sat Jul 11, 2020 1:10 pm

BTGModeratorVI wrote: ↑
Tue Jul 07, 2020 6:20 am
Luke drives the first 300 miles of a trip at 60 miles an hour. How fast does he have to drive, in miles per hour, on the final 200 miles of the trip if the total time of the trip is to equal 7 hours?

A. 60 mph
B. 90 mph
C. 100 mph
D. 120 mph
E. 200 mph

Answer: C

Solution:

The time for the first part of the trip is 300/60 = 5 hours. Thus, he has 7 - 5 = 2 hours to drive 200 miles. In order to achieve this, he has to drive at 200/2 = 100 mph.

Answer: C

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