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Register now and save up to $200 Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code ## GMATPrep: A farm used two harvesting This topic has 3 expert replies and 1 member reply ### Top Member NandishSS Master | Next Rank: 500 Posts Joined 05 Jun 2015 Posted: 275 messages Followed by: 1 members Thanked: 3 times #### GMATPrep: A farm used two harvesting Wed Sep 13, 2017 7:09 am Elapsed Time: 00:00 • Lap #[LAPCOUNT] ([LAPTIME]) A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour? (A) 7 (B) 8 (C) 12 (D) 13 (E) 15 OA: A Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums! ### GMAT/MBA Expert DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2292 messages Followed by: 115 members Thanked: 1061 times GMAT Score: 770 Wed Sep 13, 2017 7:26 am NandishSS wrote: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour? (A) 7 (B) 8 (C) 12 (D) 13 (E) 15 OA: A Let's call K's rate 'k' and H's rate 'h.' We know h = 40 acres/8 hours = 5 acres/hour. If h does 40 acres on its own, then there are 60 acres left to do. If those 60 acres are completed by both machines in 5 hours, then the combined rate is 60 acres/5 hours = 12 acres hour. Because rates are additive in work problems, we now know that k + h = 12 or k + 5 = 12, so k = 7. The answer is A _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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### Top Member

NandishSS Master | Next Rank: 500 Posts
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Wed Sep 13, 2017 7:50 am
How to deal with this kind of problems? I just bogged down seeing this...

Any link to deal with Word Problems & Work rate problem

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DavidG@VeritasPrep Legendary Member
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Wed Sep 13, 2017 9:03 am
NandishSS wrote:
How to deal with this kind of problems? I just bogged down seeing this...

Any link to deal with Word Problems & Work rate problem
You might find this post helpful: https://www.veritasprep.com/blog/2016/05/gmat-rate-questions-tackling-problems-with-multiple-components/

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Wed Sep 20, 2017 2:36 pm
NandishSS wrote:
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 5 hours. Harvesting machine K harvested how many acres of wheat per hour?

(A) 7
(B) 8
(C) 12
(D) 13
(E) 15
The rate of harvesting machine H is 40/8 = 5 acres per hour.

We can let the rate of harvesting machine K = k acres per hour.

Thus, the combined rate of machines K and H is 5 + k, and we are given that they harvest 60 acres in 5 hours; thus:

(5 + k) x 5 = 60

5 + k = 12

k = 7

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