On a road trip, Kip drove one-quarter the distance at an average speed of v miles per hour, one-quarter the distance at an average speed of 2v miles per hour, one-quarter the distance at 4v miles per hour, and one-quarter the distance at 8v miles per hour. In terms of v, what was Kip's average speed (in miles per hour) for the entire trip?
A) 15/4v
B) 15v/4
C) 32v/15
D) 4v/15
E) 15v/32
Answer: C
Difficulty level: 600 - 650
Source: www.gmatprepnow.com
On a road trip, Kip drove one-quarter the distance at an ave
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- Brent@GMATPrepNow
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GMAT/MBA Expert
- 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
Since we aren't told the total distance, let's assign a nice value to the distance.Brent@GMATPrepNow wrote:On a road trip, Kip drove one-quarter the distance at an average speed of v miles per hour, one-quarter the distance at an average speed of 2v miles per hour, one-quarter the distance at 4v miles per hour, and one-quarter the distance at 8v miles per hour. In terms of v, what was Kip's average speed (in miles per hour) for the entire trip?
A) 15/4v
B) 15v/4
C) 32v/15
D) 4v/15
E) 15v/32
Answer: C
Difficulty level: 600 - 650
Source: www.gmatprepnow.com
Let's say 32 miles = TOTAL distance.
So, each quarter = 8 miles
Average speed = total distance/total travel time
So, we must find the travel time for EACH QUARTER and add them together.
Time = distance/speed, so:
Time spent driving v mph = 8/v = 8/v
Time spent driving 2v mph = 8/2v = 4/v
Time spent driving 4v mph = 8/4v = 2/v
Time spent driving 8v mph = 8/8v = 1/v
TOTAL travel time = 8/v + 4/v + 2/v + 1/v
= 15/v
Average speed = total distance/total travel time
= 32/(15/v)
= (32)(v/15)
= 32v/15
Answer: C
Cheers,
Brent