Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
24 Jul 2019, 00:31
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:48) correct
27%
(02:21)
wrong
based on 129
sessions
History
Date
Time
Result
Not Attempted Yet
Angela walks along a trail at a rate of 3 kilometers per hour and returns along the same route at a rate of 4 kilometers per hour. If her total walking time is 105 minutes, how long is the trail in kilometers?
A. 9
B. 8
C. 6
D. 3
E. 1.5
A. 9
B. 8
C. 6
D. 3
E. 1.5
24 Jul 2019, 00:45
Kudos
Bookmarks
Bunuel
Given: 1. Angela walks along a trail at a rate of 3 kilometers per hour and returns along the same route at a rate of 4 kilometers per hour.
2. Her total walking time is 105 minutes
Asked: How long is the trail in kilometers?
Let length of trail be x km
Time taken for walking is
x/3 + x/4 = 105/60 hours
7x/12 = 7/4
x=3 km
IMO D
24 Jul 2019, 01:52
Kudos
Bookmarks
This is a simple question on the concept of Average Speed. Observe that the question mentions that Angela returns along the same route on her return journey. This is to tell you that the distance that she covered in both the cases is same.
When the same distance is covered at a kmph and b kmph respectively,
Average Speed = \(\frac{2ab}{a+b}\).
Also remember that, Average Speed = \(\frac{Total Distance travelled}{Total time taken}\).
Let the length of the trail be ‘d’ kilometres. From the question, we know that the total time taken is 105 minutes.
Do not forget to convert the time above to hours, since the speed values have been given in terms of km per hour. Forgetting to convert 105 minutes to hours could mean a wrong answer, albeit not in this question, since the options are not framed so as to reflect a mistake like that.
105 minutes = \(\frac{105}{60}\) = 1 ¾ hours = \(\frac{7}{4}\) hours.
In this case, speed of Angela’s onward journey = a = 3 kmph and speed of Angela’s return journey = b = 4 kmph.
Substituting all the above values in the equations,
\(\frac{2 * 3 * 4}{3 + 4}\) = \(\frac{2d}{(7/4)}\), which on simplification gives us 2d = 6 km or d = 3 km
The correct answer option is D.
There are two areas in Quant where you need to be super aware of taking care of the conversions between units – Mensuration and Speed, Time & Distance. Always pay attention to the units mentioned in the question and the units given in the answers, so that you know whether you have to convert or not.
Hope this helps!
When the same distance is covered at a kmph and b kmph respectively,
Average Speed = \(\frac{2ab}{a+b}\).
Also remember that, Average Speed = \(\frac{Total Distance travelled}{Total time taken}\).
Let the length of the trail be ‘d’ kilometres. From the question, we know that the total time taken is 105 minutes.
Do not forget to convert the time above to hours, since the speed values have been given in terms of km per hour. Forgetting to convert 105 minutes to hours could mean a wrong answer, albeit not in this question, since the options are not framed so as to reflect a mistake like that.
105 minutes = \(\frac{105}{60}\) = 1 ¾ hours = \(\frac{7}{4}\) hours.
In this case, speed of Angela’s onward journey = a = 3 kmph and speed of Angela’s return journey = b = 4 kmph.
Substituting all the above values in the equations,
\(\frac{2 * 3 * 4}{3 + 4}\) = \(\frac{2d}{(7/4)}\), which on simplification gives us 2d = 6 km or d = 3 km
The correct answer option is D.
There are two areas in Quant where you need to be super aware of taking care of the conversions between units – Mensuration and Speed, Time & Distance. Always pay attention to the units mentioned in the question and the units given in the answers, so that you know whether you have to convert or not.
Hope this helps!
