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18 Jan 2024, 02:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
77% (01:42) correct
23%
(01:59)
wrong
based on 235
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If three identical machines take t hours to complete a task together, and it takes t+2 hours for two of the machines working together to complete the same task. What is the value of t?
A. 4
B. 5
C. 6
D. 7
E. 9
A. 4
B. 5
C. 6
D. 7
E. 9
There are 3 machines with the same work rate. If it took t hours for 3 machines to work and took t+2 hours for 2 machines when working together, what is the value of t?
18 Jan 2024, 02:42
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Given: If three identical machines take t hours to complete a task together, and it takes t+2 hours for two of the machines working together to complete the same task.
Asked: What is the value of t?
Let the time taken by an identical machine to complete a task alone be x hours
Three identical machines take t hours to complete a task together.
x = 3t
It takes t+2 hours for two of the machines working together to complete the same task.
x = 2(t+2)
3t = 2(t+2)
t = 4
IMO A
Asked: What is the value of t?
Let the time taken by an identical machine to complete a task alone be x hours
Three identical machines take t hours to complete a task together.
x = 3t
It takes t+2 hours for two of the machines working together to complete the same task.
x = 2(t+2)
3t = 2(t+2)
t = 4
IMO A
18 Jan 2024, 06:53
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