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Rates 1 problem-two machines work at a constant rate
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15 Sep 2015, 03:33
15 Sep 2015, 03:33
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58% (01:02) correct
41% (03:16) wrong based on 12 sessions
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two machines work at a constant rate to produce bottles . machine A produces in 2/5 of an hour . machine B produces y bottles in 3/5 of an hour . which of the following combinations of machines can produce atleast 5y bottles in 2 hours.
Indicate all such statements
1. Machine A alone.
II. Machine B alone.
III. Both machines A and B
How to solve this problem. ?
Indicate all such statements
1. Machine A alone.
II. Machine B alone.
III. Both machines A and B
How to solve this problem. ?
Re: Rates 1 problem
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17 Sep 2015, 06:25
17 Sep 2015, 06:25
1
Expert Reply
Ayesha6194 wrote:
two machines work at a constant rate to produce bottles . machine A produces in 2/5 of an hour . machine B produces y bottles in 3/5 of an hour . which of the following combinations of machines can produce atleast 5y bottles in 2 hours.
Indicate all such statements
1. Machine A alone.
II. Machine B alone.
III. Both machines A and B
How to solve this problem. ?
Indicate all such statements
1. Machine A alone.
II. Machine B alone.
III. Both machines A and B
How to solve this problem. ?
You don't really need to solve this question because there are only three feasible combinations mentioned.
Machine A produces a bottle in \(\frac{2}{5}\) hours. So in 2 hours it will 2 / \(\frac{2}{5}\) = 5. I chose machine A first because it is faster of the two machines.
Hence to make more than 5 bottles you need more than Machine A so III is the only possible option.
The key words to focus on in this problem is "more than 5 bottles"
Re: Rates 1 problem
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01 Mar 2018, 01:05
01 Mar 2018, 01:05
sandy wrote:
Ayesha6194 wrote:
two machines work at a constant rate to produce bottles . machine A produces in 2/5 of an hour . machine B produces y bottles in 3/5 of an hour . which of the following combinations of machines can produce atleast 5y bottles in 2 hours.
Indicate all such statements
1. Machine A alone.
II. Machine B alone.
III. Both machines A and B
How to solve this problem. ?
Indicate all such statements
1. Machine A alone.
II. Machine B alone.
III. Both machines A and B
How to solve this problem. ?
You don't really need to solve this question because there are only three feasible combinations mentioned.
Machine A produces a bottle in \(\frac{2}{5}\) hours. So in 2 hours it will 2 / \(\frac{2}{5}\) = 5. I chose machine A first because it is faster of the two machines.
Hence to make more than 5 bottles you need more than Machine A so III is the only possible option.
The key words to focus on in this problem is "more than 5 bottles"
The stem says "atleast 5y bottles in 2 hours" answer is A and C
