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Jul 0811:30 AM EDT
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An interactive 2-hour class by Aditya Kumar to Establish clear structures & guidelines to enhance your decision-making and improve your speed and accuracy in Algebra.
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Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!- Jul 09
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Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.- Jul 08
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Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.
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Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
27 Dec 2024, 07:57
Kudos
Bookmarks
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes
In a factory, Machine A, working alone, can complete a task in 50 hours, Machine B, working alone, can complete the same task in 60 hours, and Machine C, working alone, can complete it in 75 hours. All three machines started working together on the task. However, Machine A stopped working after 10 hours, and Machine B stopped 15 hours before the task was completed. How many total hours were required to finish the task?
A. 25
B. 30
C. 35
D. 40
E. 45
Let x be the number of hour C required to completedIn a factory, Machine A, working alone, can complete a task in 50 hours, Machine B, working alone, can complete the same task in 60 hours, and Machine C, working alone, can complete it in 75 hours. All three machines started working together on the task. However, Machine A stopped working after 10 hours, and Machine B stopped 15 hours before the task was completed. How many total hours were required to finish the task?
A. 25
B. 30
C. 35
D. 40
E. 45
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(10/50+x/60+(x+15)/75) = 1
(60+5x+4x+60)/300 = 1
120+9x = 300
9x = 180
x = 20
The total hours required to finish the task
= 10+x+15
= 10+20+15
= 45
Therefore the answer is E
27 Dec 2024, 08:06
Kudos
Bookmarks
Let t be the total time to finish the task
work done by A = 10/50 = 1/5
work done by B = (t-15)/60
work done by C = t/75
total work done is 1
add all the work done by A,B,C and equate it to 1
simplifying we get 9t - 15 = 300
t = 35hours
Option C
work done by A = 10/50 = 1/5
work done by B = (t-15)/60
work done by C = t/75
total work done is 1
add all the work done by A,B,C and equate it to 1
simplifying we get 9t - 15 = 300
t = 35hours
Option C
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes
In a factory, Machine A, working alone, can complete a task in 50 hours, Machine B, working alone, can complete the same task in 60 hours, and Machine C, working alone, can complete it in 75 hours. All three machines started working together on the task. However, Machine A stopped working after 10 hours, and Machine B stopped 15 hours before the task was completed. How many total hours were required to finish the task?
A. 25
B. 30
C. 35
D. 40
E. 45
In a factory, Machine A, working alone, can complete a task in 50 hours, Machine B, working alone, can complete the same task in 60 hours, and Machine C, working alone, can complete it in 75 hours. All three machines started working together on the task. However, Machine A stopped working after 10 hours, and Machine B stopped 15 hours before the task was completed. How many total hours were required to finish the task?
A. 25
B. 30
C. 35
D. 40
E. 45
|
27 Dec 2024, 08:30
Kudos
Bookmarks
Rate of A = 1/50
Rate of B = 1/60
Rate of C = 1/75
work done in first 10 hours
10(1/50+1/60+1/75) = 0.5 of the task
work remaining after 10 hours = 0.5
work done after A stops
in each hour B and C complete = 1/60+1/75= 3/100 of task
in t-25 hours, work done by B and C = 3(t-25)/100
total work =1
0.5 + 3(t-25)/100
===> t = 40hours
Answer = D
Rate of B = 1/60
Rate of C = 1/75
work done in first 10 hours
10(1/50+1/60+1/75) = 0.5 of the task
work remaining after 10 hours = 0.5
work done after A stops
in each hour B and C complete = 1/60+1/75= 3/100 of task
in t-25 hours, work done by B and C = 3(t-25)/100
total work =1
0.5 + 3(t-25)/100
===> t = 40hours
Answer = D
Bunuel
12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes
In a factory, Machine A, working alone, can complete a task in 50 hours, Machine B, working alone, can complete the same task in 60 hours, and Machine C, working alone, can complete it in 75 hours. All three machines started working together on the task. However, Machine A stopped working after 10 hours, and Machine B stopped 15 hours before the task was completed. How many total hours were required to finish the task?
A. 25
B. 30
C. 35
D. 40
E. 45
In a factory, Machine A, working alone, can complete a task in 50 hours, Machine B, working alone, can complete the same task in 60 hours, and Machine C, working alone, can complete it in 75 hours. All three machines started working together on the task. However, Machine A stopped working after 10 hours, and Machine B stopped 15 hours before the task was completed. How many total hours were required to finish the task?
A. 25
B. 30
C. 35
D. 40
E. 45
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