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18 Apr 2025, 00:30
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D
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Difficulty:
35%
(medium)
Question Stats:
72% (01:47) correct
28%
(01:50)
wrong
based on 104
sessions
History
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Machine A and machine B working at their constant respective rates produced 50 components in 20 minutes. How much time, in minutes, would it have taken machine B working alone at its constant rate to produce 50 components?
(1) Machine A produced 10 fewer components than did machine B.
(2) The rate at which machine B works is 50 percent faster than the rate at which machine A works.
(1) Machine A produced 10 fewer components than did machine B.
(2) The rate at which machine B works is 50 percent faster than the rate at which machine A works.
18 Apr 2025, 01:12
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W = 50 comp
T = 20/60 = 1/3hr
Time for B to produce 50 comp = ?
Statement 1
A+B = 50 comp
A=B-10
A=20, B = 30
B produced 30 comp in 1/3hr.
Given the constant rate, we can identify how much time it would have taken to produce 50 components
Sufficient
Statement 2
Rb = 1.5Ra
2.5Ra * 1/3 = 50
Ra = 150/2.5 = 60
Rb = 1.5*60 = 90
B produces 90 comp in 1 hr
Given the constant rate, we can identify how much time it would have taken to produce 50 components
Sufficient
T = 20/60 = 1/3hr
Time for B to produce 50 comp = ?
Statement 1
A+B = 50 comp
A=B-10
A=20, B = 30
B produced 30 comp in 1/3hr.
Given the constant rate, we can identify how much time it would have taken to produce 50 components
Sufficient
Statement 2
Rb = 1.5Ra
2.5Ra * 1/3 = 50
Ra = 150/2.5 = 60
Rb = 1.5*60 = 90
B produces 90 comp in 1 hr
Given the constant rate, we can identify how much time it would have taken to produce 50 components
Sufficient
Bunuel
18 Apr 2025, 10:50
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Bunuel
The rates of machine A and B be a,b respectively.
Both working together produces 50 components in 20 minutes.
Time taken by B alone to produce 50 components?
Statement 1:
(1) Machine A produced 10 fewer components than did machine B.
Given A +B =50
A = B-10
B-10 + B =50 , this gives B = 30 . Then A =20
rate of machines A and B are
a = 20/20 =1 component per minute.
b = 30/20 = 1.5 component per minute.
knowing the rate of B and the total components created (50), we can find the time. Hence SUFFICIENT
Statement 2:
(2) The rate at which machine B works is 50 percent faster than the rate at which machine A works.
b = 3/2 a . Hence, b:a = 3:2 Rates of machine B : machine A
knowing the rate of B and the total components created (50), we can find the time.
Hence SUFFICIENT
Option D
