BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

On a long drive, a truck covered P percent of the total

Expert replies
by AAPL » Wed Dec 18, 2019 5:35 pm
Magoosh

On a long drive, a truck covered P percent of the total distance on a local road, where it drove only 30 mph. The rest of the trip, it traveled at 50 mph. In terms of P, which of the following represents the average velocity of the entire trip?

A. P-10
B. 50 - P/5
C. (2P+1000)/40
D. 10000/(P+200)
E. 15000/(2P+300)

OA E
Join the discussion
Source: — Problem Solving |

by Scott@TargetTestPrep » Wed Jan 01, 2020 6:47 pm
AAPL wrote:Magoosh

On a long drive, a truck covered P percent of the total distance on a local road, where it drove only 30 mph. The rest of the trip, it traveled at 50 mph. In terms of P, which of the following represents the average velocity of the entire trip?

A. P-10
B. 50 - P/5
C. (2P+1000)/40
D. 10000/(P+200)
E. 15000/(2P+300)

OA E
We can let the total distance = 100 miles. Since average rate = (total distance)/(total time), we have:

100 / (P/30 + (100 - P)/50)

100 / (5P/150 + (300 - 3P)/150)

100 / ((300 + 2P)/150)

15000 / (300 + 2P)

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Join the discussion