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Working alone at their respective constant rates, Ajay can complete a certain job in 4hrs, while Firoz can do the same job in 3 hours. Ajay and Firoz worked together on the job and completed it in 2 hours, but while Ajay worked this entire time, Firoz worked for some of the time and took 3 breaks of equal length. How many minutes long were each of Firoz breaks? can someone explain this question?
Most Upvoted Answer
Working alone at their respective constant rates, Ajay can complete a ...
In one hour, ajay completes 1/4 of work. In one hour, firoz completes 1/3 of work. Together in hour, they'll complete = 1/4 + 1/3 = 7/12 the of work. In 2 hours, they'll complete = 2* (7/12) = 14/12 of work. But, it is given the work is completed in 2 hours,i.e. In 2 hours, 12/12 work is completed. Therefore, extra work = break time = 14/12 - 12/12 = 2/12 = 1/6.Therefore total break time = (1/6)*60 = 10 minutes. Therefore, each break was 10/3 = 3 minutes 20 seconds long.
Community Answer
Working alone at their respective constant rates, Ajay can complete a ...
Given Information:
Ajay completes the job in 4 hours.
Firoz completes the job in 3 hours.
Ajay and Firoz completed the job together in 2 hours.
Firoz took 3 breaks of equal length.

Calculating Individual Rates:
Let Ajay's rate be A job/hr and Firoz's rate be F job/hr.
From the given information:
Ajay's rate = 1 job / 4 hours = 1/4 job/hr
Firoz's rate = 1 job / 3 hours = 1/3 job/hr

Working Together:
When working together, Ajay and Firoz's combined rate is:
A + F = 1/4 + 1/3 = 7/12 job/hr

Time Taken Working Together:
Since they completed the job in 2 hours working together:
(7/12) * 2 = 7/6 job

Calculating Firoz's Breaks:
Let the length of each break Firoz takes be x hours.
Firoz worked for 2 hours and took 3 breaks, so:
2 = 3(x) + 2
2 = 3x + 2
3x = 0
x = 0

Conclusion:
It seems that there is a mistake in the calculation, as the length of Firoz's breaks cannot be zero. Please review the given information and calculations to identify the correct length of Firoz's breaks.
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Working alone at their respective constant rates, Ajay can complete a certain job in 4hrs, while Firoz can do the same job in 3 hours. Ajay and Firoz worked together on the job and completed it in 2 hours, but while Ajay worked this entire time, Firoz worked for some of the time and took 3 breaks of equal length. How many minutes long were each of Firoz breaks? can someone explain this question?
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Working alone at their respective constant rates, Ajay can complete a certain job in 4hrs, while Firoz can do the same job in 3 hours. Ajay and Firoz worked together on the job and completed it in 2 hours, but while Ajay worked this entire time, Firoz worked for some of the time and took 3 breaks of equal length. How many minutes long were each of Firoz breaks? can someone explain this question? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Working alone at their respective constant rates, Ajay can complete a certain job in 4hrs, while Firoz can do the same job in 3 hours. Ajay and Firoz worked together on the job and completed it in 2 hours, but while Ajay worked this entire time, Firoz worked for some of the time and took 3 breaks of equal length. How many minutes long were each of Firoz breaks? can someone explain this question? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Working alone at their respective constant rates, Ajay can complete a certain job in 4hrs, while Firoz can do the same job in 3 hours. Ajay and Firoz worked together on the job and completed it in 2 hours, but while Ajay worked this entire time, Firoz worked for some of the time and took 3 breaks of equal length. How many minutes long were each of Firoz breaks? can someone explain this question?.
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