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

Redeem

David drove to work at an average (arithmetic mean) speed of

Expert replies
by AAPL » Wed Jun 12, 2019 4:23 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Magoosh

David drove to work at an average (arithmetic mean) speed of \(45\) miles per hour. After work, David drove home at an average speed of 60 miles per hour. If David spent a total of 2 hours commuting to and from work, how many miles does David drive to work?

A. \(48\)

B. \(\frac{256}{5}\)

C. \(\frac{360}{7}\)

D. \(\frac{105}{2}\)

E. \(\frac{160}{3}\)

OA C
Join the discussion
Source: — Problem Solving |

by Brent@GMATPrepNow » Wed Jun 12, 2019 4:41 am
AAPL wrote:Magoosh

David drove to work at an average (arithmetic mean) speed of 45 miles per hour. After work, David drove home at an average speed of 60 miles per hour. If David spent a total of 2 hours commuting to and from work, how many miles does David drive to work?

A. \(48\)

B. \(\frac{256}{5}\)

C. \(\frac{360}{7}\)

D. \(\frac{105}{2}\)

E. \(\frac{160}{3}\)

OA C
Let's start with a "word equation"
We can write: (David's travel time TO work) + (David's travel time FROM work) = 2 hours
time = distance/speed

Let d = the distance each way

We can write: d/45 + d/60 = 2
To eliminate the fractions, multiply both sides by 180, the LCM of 45 and 60

We get: 4d + 3d = 360
Simplify: 7d = 360
Solve: d = 360/7

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Join the discussion

by Scott@TargetTestPrep » Fri Jun 14, 2019 2:41 pm
AAPL wrote:Magoosh

David drove to work at an average (arithmetic mean) speed of \(45\) miles per hour. After work, David drove home at an average speed of 60 miles per hour. If David spent a total of 2 hours commuting to and from work, how many miles does David drive to work?

A. \(48\)

B. \(\frac{256}{5}\)

C. \(\frac{360}{7}\)

D. \(\frac{105}{2}\)

E. \(\frac{160}{3}\)

OA C
We can create the equation for the time:

d/45 + d/60 = 2

Multiplying by 180, we have:

4d + 3d = 360

7d = 360

d = 360/7

Answer: C

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