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Distance

This topic has 3 expert replies and 0 member replies
datonman Senior | Next Rank: 100 Posts Default Avatar
Joined
28 May 2014
Posted:
53 messages

Distance

Post Wed Nov 04, 2015 9:25 am
During a trip, Francine traveled 'x' percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of 'x', what was Francine's average speed for the entire trip?

A.)180-x/2
B.)x + 60/4
C.)300-x/5
D.)600/115-x
E.)12,000/x+200

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Post Wed Nov 04, 2015 10:29 am
Rich and I have demonstrated the two methods (Algebraic and Input-Output) for solving a question type I call Variables in the Answer Choices.
If you'd like more information on these approaches, we have some free videos:
- Variables in the Answer Choices - http://www.gmatprepnow.com/module/gmat-word-problems/video/933
- Tips for the Algebraic Approach - http://www.gmatprepnow.com/module/gmat-word-problems/video/934
- Tips for the Input-Output Approach - http://www.gmatprepnow.com/module/gmat-word-problems/video/935

Cheers,
Brent

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Top Reply
Post Wed Nov 04, 2015 10:26 am
Hi datonman,

This question can also be solved by TESTing VALUES.

We're told that X% of a distance was spent traveling at 40 miles/hour while the rest of the distance was spent traveling at 60 miles/hour. We're asked for the AVERAGE SPEED for the entire trip.

IF....
Total Distance = 100 miles
X = 40%

40 miles was traveled at 40 miles/hour --> 1 hour of travel
60 miles was traveled at 60 miles/hour --> 1 hour of travel

Total Distance = (Av. Sp)(Total Time)
100 miles = (Av. Sp.)(2 hours)
100/2 = Av. Sp
50 miles/hour = Av. Sp.

So we're looking for an answer that equals 50 when X = 40....

Answer A: (180-40)/2 = 70 NOT a match
Answer B: (40+60)/4 = 25 NOT a match
Answer C: (300-40)/5 = 52 NOT a match
Answer D: 600/(115-40) = 8 NOT a match
Answer E: 120000/(240) = 50 This IS a MATCH

Final Answer: E

GMAT assassins aren't born, they're made,
Rich

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Post Wed Nov 04, 2015 10:29 am
Rich and I have demonstrated the two methods (Algebraic and Input-Output) for solving a question type I call Variables in the Answer Choices.
If you'd like more information on these approaches, we have some free videos:
- Variables in the Answer Choices - http://www.gmatprepnow.com/module/gmat-word-problems/video/933
- Tips for the Algebraic Approach - http://www.gmatprepnow.com/module/gmat-word-problems/video/934
- Tips for the Input-Output Approach - http://www.gmatprepnow.com/module/gmat-word-problems/video/935

Cheers,
Brent

_________________
Brent Hanneson – Founder of GMATPrepNow.com
Use our video course along with Beat The GMAT's free 60-Day Study Guide

Check out the online reviews of our course
Come see all of our free resources

  • +1 Upvote Post
  • Quote
  • Flag
GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months!

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