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B
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Difficulty:
75%
(hard)
Question Stats:
62% (02:58) correct
38%
(02:52)
wrong
based on 337
sessions
History
Date
Time
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Not Attempted Yet
One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 5 robots altogether, if the robots build only one robot at a time?
A. 70 min
B. 94 min
C. 110 min
D. 112 min
E. 120 min
A. 70 min
B. 94 min
C. 110 min
D. 112 min
E. 120 min
13 Jun 2011, 02:00
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First the 2 robots work at the rate of
1 + 1/2 = 3/2
so they complete one robot in 2/3 rd of an hour = 40 minutes - (1)
Now the 3 robots work together at the rate of
1 + 1/2 + 1/2 = 4/2 = 2/1
so they complete one robot in 1/2 an hour,i.e 30 minutes - (2)
Now the 4 robots work together at the rate of
1 + 1/2 + 1/2 + 1/2 = 5/2
so they complete one robot in 2/5th of an hour - (3)
And now we have 5 robots
So Total = (1) + (2) + (3) = 94 minutes
Answer - B
1 + 1/2 = 3/2
so they complete one robot in 2/3 rd of an hour = 40 minutes - (1)
Now the 3 robots work together at the rate of
1 + 1/2 + 1/2 = 4/2 = 2/1
so they complete one robot in 1/2 an hour,i.e 30 minutes - (2)
Now the 4 robots work together at the rate of
1 + 1/2 + 1/2 + 1/2 = 5/2
so they complete one robot in 2/5th of an hour - (3)
And now we have 5 robots
So Total = (1) + (2) + (3) = 94 minutes
Answer - B
General Discussion
13 Jun 2011, 02:17
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well after seeing that simple approach it's seems not that hard. thank's-5 stars for the method
