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

 It is currently 15 Dec 2018, 10:32

### 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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### FREE Quant Workshop by e-GMAT! December 16, 2018 December 16, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. # Both car A and car B set out from their original locations at exactly  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Senior Manager Joined: 02 Jan 2017 Posts: 310 Location: Canada Both car A and car B set out from their original locations at exactly [#permalink] ### Show Tags 14 Mar 2017, 03:06 1 8 00:00 Difficulty: 45% (medium) Question Stats: 76% (09:45) correct 24% (03:24) wrong based on 182 sessions ### HideShow timer Statistics Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip? (A) 0.50 (B) 1.00 (C) 1.25 (D) 1.33 (E) 2.00 Intern Joined: 26 Feb 2017 Posts: 4 Re: Both car A and car B set out from their original locations at exactly [#permalink] ### Show Tags 14 Mar 2017, 07:39 3 1 Quote: Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip? Car A: 65m/h Car B: 50m/h Houston to morse = m = distance $$speed=\frac{dist}{time}$$ Car A: $$65m/h=\frac{m}{t}$$ $$m=65*t$$ ....equation 1 Car B: $$50m/h=\frac{2m}{(t+2)}$$ $$2m=50*t+50*2$$ $$m=25*t+50$$ ....equation 2 Combining equation 1 and 2 $$65*t=25*t+50$$ $$40*t=50$$ $$t=5/4$$ $$t=1,25$$ VP Joined: 07 Dec 2014 Posts: 1128 Both car A and car B set out from their original locations at exactly [#permalink] ### Show Tags 14 Mar 2017, 12:45 1 vikasp99 wrote: Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip? (A) 0.50 (B) 1.00 (C) 1.25 (D) 1.33 (E) 2.00 65t=d 50(t+2)=2d 130t=50t+100 t=5/4=1.25 hours C Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4295 Location: United States (CA) Re: Both car A and car B set out from their original locations at exactly [#permalink] ### Show Tags 05 Jul 2018, 15:53 vikasp99 wrote: Both car A and car B set out from their original locations at exactly the same time and on exactly the same route. Car A drives from Morse to Houston at an average speed of 65 miles per hour. Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route. If car B arrives in Houston 2 hours after car A, how many hours did it take car A to make its trip? (A) 0.50 (B) 1.00 (C) 1.25 (D) 1.33 (E) 2.00 We can let the distance between Morse and Houston = d miles. So the time it takes car A to drive from Morse to Houston is d/65. Since car B arrives in Houston 2 hours after car A and it also drives double the distance, we can create the following equation: 2d/50 = d/65 + 2 Multiplying both sides by 650, we have: 26d = 10d + 1300 16d = 1300 d = 81.25 Therefore, it takes car A 81.25/65 = 1.25 hours to make the trip from Morse to Houston. Alternate Solution: Let the time car A takes to drive from Morse to Houston be t. Since car A drives at 65 mph, the distance between Morse and Houston, in terms of t, is 65t. We are given that it takes t + 2 hours for car B to drive twice the distance between Morse and Houston; thus: 65t = [50(t + 2)]/2 130t = 50t + 100 80t = 100 t = 100/80 = 5/4 = 1.25 hours Answer: C _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13087 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: Both car A and car B set out from their original locations at exactly [#permalink] ### Show Tags 28 Oct 2018, 19:37 Hi All, We're told that both car A and car B set out from their original locations at exactly the SAME time and on exactly the SAME route. Car A drives from Morse to Houston at an average speed of 65 miles per hour and Car B drives from Houston to Morse at 50 miles per hour, and then immediately returns to Houston at the same speed and on the same route, arriving in Houston 2 hours after car A. We're asked how many hours it took car A to make its trip. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. Let's TEST Answer B first... Answer B: 1 hour If Car A travels for 1 hour, then it travels (1)(65) = 65 miles, meaning that the distance between the two cities is 65 miles. Car B would have to travel 65+65 = 130 miles at 50 miles/hour. 130 miles = (50 mph)(T hours) 130/50 = T 2.6 hours = T This is 2.6 - 1 = 1.6 hours after Car A arrived, but this is NOT a match for what we were told (it's relatively close, but it's supposed to be a 2 hour difference). Thus, we need the distance between the cities to be LARGER (but not too much larger). Answer C: 1.25 hours If Car A travels for 1.25 hours = 5/4 hours, then it travels (5/4)(65) = 325/4 = 81.25 miles, meaning that the distance between the two cities is 81.25 miles. Car B would have to travel 81.25 + 81.25 = 162.5 miles at 50 miles/hour. 162.5 miles = (50 mph)(T hours) 162.5/50 = T 3.25 hours = T The difference is 3.25 - 1.25 = 2 hours. This is an exact match for what we were told, so this must be the answer. Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Re: Both car A and car B set out from their original locations at exactly &nbs [#permalink] 28 Oct 2018, 19:37
Display posts from previous: Sort by