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Ryerson (Ted Rogers) Thread Master
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A farm used two harvesting machines, H and K, to harvest 100 acres of
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23 Dec 2015, 07:20
Question Stats:
82% (01:38) correct 18% (02:42) wrong based on 192 sessions
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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
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Re: A farm used two harvesting machines, H and K, to harvest 100 acres of
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29 Dec 2015, 20:27
Rate of H = 5 acres/hr
Remaining land to be harvested = 100  40 = 60
Rate of H and K = 60/5 = 12 acres/hr
Rate of K = 12  5 = 7
Answer: A



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Re: A farm used two harvesting machines, H and K, to harvest 100 acres of
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19 Mar 2017, 05:25
H harvests 40 acres in 8 hours. Therefore in 1 hour, H harvests 40/8 = 5 acres
Remaining 60 acres was harvested by H and K together in 5 hours. Therefore in 1 hour, H and K harvested 60/5 = 12 acres
In the 1 hour that H and K worked together, H alone harvested 5 acres. So the remaining acres (125)=7 acres was harvested by K.
So K harvested 7 acres/hour.
Answer A



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Re: A farm used two harvesting machines, H and K, to harvest 100 acres of
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20 Mar 2017, 02:57
RSOHAL 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 rate of H = 40/8 = 5 acre/hr H also worked for 5 hours There in 5 hours H harvested 5*5 = 25acre left is 6025 = 35 acres which is harvested by K therefore rate of K = 35/5 = 7 acre/hr Option A
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Re: A farm used two harvesting machines, H and K, to harvest 100 acres of
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04 Jan 2018, 09:08
RSOHAL 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 Answer: A
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Re: A farm used two harvesting machines, H and K, to harvest 100 acres of
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08 Oct 2018, 20:40
Hi All, We're told that 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. We're asked for Machine K's harvesting rate in acres of wheat per hour. While this question is wordy, it just comes down to some basic notetaking and Arithmetic. Since Machine H harvested 40 acres in 8 hours, we know that H's harvesting rate is 40/8 = 5 acres/hour Machine H and Machine K then harvested together for 5 hours: Machine H harvested (5)(5 acres/hour) = 25 acres In total, Machine H harvested 40+25 = 65 of the 100 total acres, which leaves 35 acres for Machine K to harvest over those 5 hours. Machine K = 35 acres/5 hours = 7 acres/hour Final Answer: GMAT assassins aren't born, they're made, Rich
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