GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Oct 2019, 22:06

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Donna is a mountain biking enthusiast. One Saturday, she spent the mor

Author Message
TAGS:

Hide Tags

Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4136
GPA: 3.39
Donna is a mountain biking enthusiast. One Saturday, she spent the mor  [#permalink]

Show Tags

27 Mar 2019, 06:38
1
00:00

Difficulty:

15% (low)

Question Stats:

76% (02:11) correct 24% (02:29) wrong based on 37 sessions

HideShow timer Statistics

Donna is a mountain biking enthusiast. One Saturday, she spent the morning biking up an uphill trail at an average speed of 20 kilometers per hour, and then returned by the same route in the afternoon at an average speed of 25 kilometers per hour. If the downhill trip in the afternoon took $$\frac{3}{4}$$ of an hour less than the uphill trek in the morning, how many kilometers did Donna ride each way?

A. 50
B. 55
C. 65
D. 70
E. 75

Source: McGraw-Hill's GMAT (6th)

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5032
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Donna is a mountain biking enthusiast. One Saturday, she spent the mor  [#permalink]

Show Tags

27 Mar 2019, 07:49
Donna is a mountain biking enthusiast. One Saturday, she spent the morning biking up an uphill trail at an average speed of 20 kilometers per hour, and then returned by the same route in the afternoon at an average speed of 25 kilometers per hour. If the downhill trip in the afternoon took $$\frac{3}{4}$$ of an hour less than the uphill trek in the morning, how many kilometers did Donna ride each way?

A. 50
B. 55
C. 65
D. 70
E. 75

Source: McGraw-Hill's GMAT (6th)

uphill distance = 20*t
downhill distance = 25 * (t-3/4)
since both distances are same
20*t = 25t-75/4
t= 75/20 hrs
so d = 20*75/20 ; 75 km
IMO E
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8137
Location: United States (CA)
Re: Donna is a mountain biking enthusiast. One Saturday, she spent the mor  [#permalink]

Show Tags

29 Mar 2019, 07:34
Donna is a mountain biking enthusiast. One Saturday, she spent the morning biking up an uphill trail at an average speed of 20 kilometers per hour, and then returned by the same route in the afternoon at an average speed of 25 kilometers per hour. If the downhill trip in the afternoon took $$\frac{3}{4}$$ of an hour less than the uphill trek in the morning, how many kilometers did Donna ride each way?

A. 50
B. 55
C. 65
D. 70
E. 75

Source: McGraw-Hill's GMAT (6th)

Letting t = the time for the uphill part of the trip, we can create the equation:

20t = 25(t - 3/4)

20t = 25t - 75/4

75/4 = 5t

75/20 = t

15/4 = t

So the uphill distance was:

20 x 15/4 = 5 x 15 = 75 kilometers

Both the uphill and downhill distances were 75 kilometers.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: Donna is a mountain biking enthusiast. One Saturday, she spent the mor   [#permalink] 29 Mar 2019, 07:34
Display posts from previous: Sort by