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Rate problem 1

by bobdylan » Sat Jun 02, 2012 7:41 am
If 15 employees working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 employees working independently and at the same rate manufacture in 40 min.?
a) 27
b) 35
c) 40
d) 54
e) 81
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by Anurag@Gurome » Sat Jun 02, 2012 7:52 am
bobdylan wrote:If 15 employees working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 employees working independently and at the same rate manufacture in 40 min.?
15 employees --> 60 minutes --> 27 baskets
15 employees --> 10 minutes --> (27/6) baskets
15 employees --> 40 minutes --> (27/6)*4 = (9*2) = 18 baskets
45 employees --> 40 minutes --> 3*18 = 54 baskets

The correct answer is D.
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by hey_thr67 » Mon Jun 04, 2012 7:29 pm
Below is my approach,

I equated man-hrs required per basket. Let number of basket done by 45 people in 40 mins be B.

15 x 60 45 x 40
---- = ----------
27 B

B= 54

Hence OA is D
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by hey_thr67 » Mon Jun 04, 2012 7:35 pm
Hi Anurag,

It at times become hard to pick an approach that would solve the question in quickest way. Specially for work/rate problems. Could you please cite some
strategies to fasten up the speed.

To cite a few examples,

one approach is to calculate [work done per day]
Second is to calculate [man-hrs per unit of work]
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by diebeatsthegmat » Mon Jun 04, 2012 7:56 pm
bobdylan wrote:If 15 employees working independently and at the same rate can manufacture 27 baskets in an hour, how many baskets would 45 employees working independently and at the same rate manufacture in 40 min.?
a) 27
b) 35
c) 40
d) 54
e) 81
this is easy, make a table... 15 people make 25 basket in 60 mins so 1 person make 27/15 basket in an hour and 1 person can make (27*40)/15*60 basket in 40 mins
so 45 people can make : (27*40*45)/15*60= d
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