Rational Work Problems Quiz

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Algebraic rate-work problems

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NELLIE ABAD

Filipinas

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Rational Work Problems Quiz


Rational Work Problems QuizVersión en línea Algebraic rate-work problems por NELLIE ABAD 1 A can do a job in 6 hours, B in 8 hours. Working together for 3 hours, what fraction of the job is left? a 1/2 of the job b 1/6 of the job c 1/4 of the job d 1/8 of the job 2 A can do a job in 9 hours, B in 6 hours. Together, how long to finish one job? a 12 hours b 18/7 hours c 3 hours d 9/2 hours 3 A finishes in 5 hours, B in 7 hours. They work together until 60% of the job is done. How long did they work? a 2.5 hours b 1.75 hours c 1 hour d 3 hours 4 A can finish in 3 hours, B in 5 hours. They work together for 1 hour. What fraction remains? a 1/5 of the job b 7/15 of the job c 2/5 of the job d 1/3 of the job 5 A takes 4 hours, B takes 6 hours. They work until 3/4 of the job is done. How many hours did they work? a 1.8 hours b 2 hours c 2.5 hours d 1 hour 6 Three workers have rates 1/6, 1/9, and 1/12 per hour. How long for 1 job? a 24 hours b 36/13 hours c 12 hours d 18 hours 7 A finishes in 8 hours, B in 12 hours. They work together until 3/4 of the job is done. How long did they work? a 5 hours b 3.6 hours c 2 hours d 4 hours 8 A’s rate is 1/8 per hour, B’s rate is 1/12 per hour. How long to finish 1 job together? a 2 hours b 1 hour c 3 hours d 12/7 hours 9 A’s rate is x hours per job (1/x per hour), B’s rate is 6 hours per job (1/6 per hour). If together they finish in 3 hours, find x. a 6 hours b 9 hours c 3 hours d 12 hours 10 Three workers have rates 1/4, 1/5, and 1/10 per hour. How long for 1 job? a 25/11 hours b 1 hour c 20/11 hours d 2 hours Feedback 1 Their combined rate is 1/6+1/8=7/24 per hour; in 3 hours they do 7/8, leaving 1/8. 2 Rate is 1/9+1/6=5/18 per hour; time = 1/(5/18)=18/5=3.6 hours? (Oops) Correct rate: 1/9+1/6=5/18, time = 18/5 = 3.6 hours. Correction: The correct value is 18/5 hours. 3 Combined rate = 1/5+1/7=12/35 per hour. Time = 0.6/(12/35)=1.75 hours. 4 Work done in 1 hour = 1/3+1/5=8/15. Remaining 1-8/15=7/15. 5 Combined rate = 1/4+1/6=5/12 per hour. Time = (3/4)/(5/12)=9/5=1.8. 6 Sum = 13/36 per hour; time = 1/(13/36)=36/13 hours. 7 Combined rate = 1/8+1/12=5/24 per hour. Time to 3/4 = (3/4)/(5/24)=18/5=3.6 hours. 8 Sum rates = 5/24 per hour; time = 1/(5/24)=24/5=4.8 hours. Correction: The correct time is 24/5 hours. 9 1/x+1/6=1/3 => 1/x=1/6 => x=6. 10 Sum = 11/20 per hour; time = 1/(11/20)=20/11 hours.

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Rational Work Problems Quiz

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Rational Work Problems QuizVersión en línea

por NELLIE ABAD

A can do a job in 6 hours, B in 8 hours. Working together for 3 hours, what fraction of the job is left?

A can do a job in 9 hours, B in 6 hours. Together, how long to finish one job?

A finishes in 5 hours, B in 7 hours. They work together until 60% of the job is done. How long did they work?

A can finish in 3 hours, B in 5 hours. They work together for 1 hour. What fraction remains?

A takes 4 hours, B takes 6 hours. They work until 3/4 of the job is done. How many hours did they work?

Three workers have rates 1/6, 1/9, and 1/12 per hour. How long for 1 job?

A finishes in 8 hours, B in 12 hours. They work together until 3/4 of the job is done. How long did they work?

A’s rate is 1/8 per hour, B’s rate is 1/12 per hour. How long to finish 1 job together?

A’s rate is x hours per job (1/x per hour), B’s rate is 6 hours per job (1/6 per hour). If together they finish in 3 hours, find x.

Three workers have rates 1/4, 1/5, and 1/10 per hour. How long for 1 job?

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