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• ### $450 Tuition Credit & Official CAT Packs FREE February 15, 2019 February 15, 2019 10:00 PM EST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # A company’s four cars running 10 hrs a day consume 1200 lts of fuel in  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Manager Joined: 04 Oct 2017 Posts: 78 Re: A company’s four cars running 10 hrs a day consume 1200 lts of fuel in [#permalink] ### Show Tags 28 Aug 2018, 07:23 sushforgmat wrote: Bunuel wrote: Bunuel wrote: A company’s four cars running 10 hrs a day consume 1200 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days? (A) 1200 lt (B) 1555 lt (C) 1664 lt (D) 1728 lt (E) 4800 lt Kudos for a correct solution. VERITAS PREP OFFICIAL SOLUTION: First let’s try to figure out what is meant by ‘consume 20% less fuel than the company’s cars’. It means that if company’s each car consumes 1 lt per hour, the hired cars consume only 4/5 lt per hour. So renting 5 more cars is equivalent to renting 4 cars which are same as the company’s cars. Hence, the total number of cars that will be run for the next 6 days is 8 company-equivalent cars. 4 cars running 10 hrs for 10 days consume 1200 lt of fuel 8 cars running 12 hrs for 6 days consume x lt of fuel $$x = 1200*(\frac{8}{4)}*(\frac{12}{10})*(\frac{6}{10}) = 1728$$ lt We multiply by 8/4 because more cars implies more fuel so we multiply by a number greater than 1. We multiply by 12/10 because more hours implies more fuel so we multiply by a number greater than 1. We multiply by 6/10 because fewer days implies less fuel so we multiply by a number smaller than 1. Answer (D) Why can't we interpret the question as below: The question says "5 more cars which consume 20% less fuel than the company’s four cars" but it doesn't say "5 more cars EACH OF WHICH consumes 20% less fuel than EACH OF the company's four cars". What I mean to say is it could be interpreted as "all the 5 new cars consume 80% of what all the four cars consume" If we interpret it that way then it should be "1.8*fuel consumed by 4 cars = 864*1.8 = 1555.2 lt" Any thoughts? I interpreted this as above and opted for option B. Manager Joined: 11 Aug 2018 Posts: 90 Location: Pakistan GPA: 2.73 Re: A company’s four cars running 10 hrs a day consume 1200 lts of fuel in [#permalink] ### Show Tags 09 Sep 2018, 02:13 can someone explain where I am wrong let's say if 4 cars consume 100 lt then 5 cars will consume 80lt as 20% less of 100 is 80lt. now if I want to convert efficiency into cars as official explanation has done I need to say 100 liters is consumed by 4 cars so if fuel gets dropped to 80 then cars would be 3.2 ie 100/4=80/x or x= 80/100*4= 3.2 please explain what I am missing _________________ If you like this post, be kind and help me with Kudos! Cheers! EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13536 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: A company’s four cars running 10 hrs a day consume 1200 lts of fuel in [#permalink] ### Show Tags 10 Feb 2019, 10:51 Hi All, We're told that a company’s 4 cars running 10 hrs a day consume 1200 liters of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. We're asked for the number of liters of fuel that will be consumed in the next 6 days. This question is a variation on a "Work" question and comes down to taking the proper notes and doing the necessary Arithmetic. To start, we need to determine the amount of fuel that 1 car will use in 1 hour. We know that 4 cars will run 10 hours a day for 10 days. That's (4)(10)(10) = 400 hours of car-running time During that time, 1200 liters of fuel will be spent. Thus, we know that 1200/400 = 3 liters of fuel will be used by 1 car in 1 hour. We're told that 5 additional cars will be rented, but those additional 5 cars consume 20% LESS fuel than the company's 4 cars. Each car will run 12 hours a day for the next 6 days. We can break the calculation down into 2 pieces: (4 cars)(3 liters/hour)(12 hours/day)(6 days) = 864 liters of fuel (5 cars)(2.4 liters/hour)(12 hours/day)(6 days) = 864 liters of fuel Total = 864 + 864 = 1728 liters of fuel 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
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Re: A company’s four cars running 10 hrs a day consume 1200 lts of fuel in   [#permalink] 10 Feb 2019, 10:51

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