Paul drives from his apartment to his parents' house and back. On the trip to his parents' house, he travels at an average speed of 60 miles per hour. On the return trip, Paul drives at an average speed of 80 miles per hour. Which of the following is the closest approximation of Paul's average speed, in miles per hour, for the round trip?
A. 60
B. 68.6
C. 70.0
D. 71.4
E. 80.0
The OA is B
Source: Princeton Review
Paul drives from his apartment to his parents' house and
This topic has expert replies
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7262
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can let the one-way distance be 240 miles. Therefore, the average speed of the round trip is:swerve wrote:Paul drives from his apartment to his parents' house and back. On the trip to his parents' house, he travels at an average speed of 60 miles per hour. On the return trip, Paul drives at an average speed of 80 miles per hour. Which of the following is the closest approximation of Paul's average speed, in miles per hour, for the round trip?
A. 60
B. 68.6
C. 70.0
D. 71.4
E. 80.0
The OA is B
Source: Princeton Review
(240 + 240)/(240/60 + 240/80)
480/(4 + 3)
480/7 ≈ 68.6 mph
Answer: B
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
-
- Legendary Member
- Posts: 2214
- Joined: Fri Mar 02, 2018 2:22 pm
- Followed by:5 members
$$Average\ speed\ for\ whole\ trip=\frac{\left(Total\ di\tan ce\right)}{Total\ time}$$
Since distance is equal;
$$=\frac{D}{\frac{D}{60}}+\frac{D}{\frac{D}{80}}$$
$$=\frac{2D}{\frac{4D+3D}{240}}\ \ \ \ =\frac{2D}{\left(\frac{7D}{240}\right)}$$
$$=\frac{\left(2D\cdot240\right)}{7D}$$
$$=\frac{480}{7}\ \ \ \ \ =68.57\ mph$$
The answer to this question is B.
Since distance is equal;
$$=\frac{D}{\frac{D}{60}}+\frac{D}{\frac{D}{80}}$$
$$=\frac{2D}{\frac{4D+3D}{240}}\ \ \ \ =\frac{2D}{\left(\frac{7D}{240}\right)}$$
$$=\frac{\left(2D\cdot240\right)}{7D}$$
$$=\frac{480}{7}\ \ \ \ \ =68.57\ mph$$
The answer to this question is B.