Time and Work Worksheet
The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.
NameDateTime takenScore ___ / 40
- 1.Priya works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
- 2.Kavya can finish a job in 7 days and Dev in 21 days. Kavya works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
- 3.Pooja can finish a job in 19 days and Ananya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
- 4.Aarav works three times as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
- 5.Meera and Karan together finish a job in 6 days. Meera alone takes 7 days. How many days would Karan take alone?
- 6.Aditya works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
- 7.Arjun can finish a job in 7 days and Karan in 21 days. Arjun works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
- 8.Sneha works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
- 9.Ananya can finish a job in 24 days and Priya in 16 days. Ananya works alone for 21 days and then stops. Priya finishes the rest. How many days does Priya take?
- 10.Zoya can finish a job in 19 days and Arjun in 10 days. What fraction of the job do they finish if they work together for 1 day? =
- 11.Ishaan can finish a job in 10 days and Karan in 20 days. Ishaan works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
- 12.Kabir and Tara together finish a job in 6 days. Kabir alone takes 12 days. How many days would Tara take alone?
- 13.Nisha can finish a job in 5 days and Karan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 14.Kavya and Ishaan together finish a job in 12 days. Kavya alone takes 21 days. How many days would Ishaan take alone?
- 15.Nisha can finish a job in 14 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
- 16.Ananya can finish a job in 8 days and Aditya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 17.Karan works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
- 18.Aarav can finish a job in 12 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
- 19.Kabir works twice as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
- 20.Zoya can finish a job in 7 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 21.Ishaan works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
- 22.Ishaan can finish a job in 6 days and Saanvi in 27 days. Ishaan works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
- 23.Ishaan can finish a job in 30 days and Tara in 20 days. Ishaan works alone for 24 days and then stops. Tara finishes the rest. How many days does Tara take?
- 24.Ishaan works three times as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
- 25.Isha works three times as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
- 26.Kabir can finish a job in 16 days and Dev in 4 days. What fraction of the job do they finish if they work together for 1 day? =
- 27.Rohan can finish a job in 6 days and Meera in 13 days. What fraction of the job do they finish if they work together for 3 days? =
- 28.Priya can finish a job in 5 days and Pooja in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 29.Ananya can finish a job in 12 days and Isha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 30.Karan can finish a job in 6 days and Ishaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 31.Manav and Ishaan together finish a job in 9 days. Manav alone takes 18 days. How many days would Ishaan take alone?
- 32.Farhan works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
- 33.Sneha can finish a job in 14 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 34.Karan works twice as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
- 35.Manav can finish a job in 13 days and Ishaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 36.Sneha and Manav together finish a job in 13 days. Sneha alone takes 26 days. How many days would Manav take alone?
- 37.Saanvi works twice as fast as Aditya. Together they finish a job in 11 days. How many days would Aditya take alone?
- 38.Dev can finish a job in 17 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 1 day? =
- 39.Priya works three times as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
- 40.Ananya and Farhan together finish a job in 5 days. Ananya alone takes 6 days. How many days would Farhan take alone?
Answer key
- 24
- 15
- 39/380
- 20
- 42
- 36
- 3
- 36
- 2
- 29/190
- 4
- 12
- 85/22
- 28
- 11/56
- 8/5
- 33
- 13/84
- 6
- 21/10
- 9
- 18
- 4
- 12
- 44
- 5/16
- 19/26
- 55/16
- 15/2
- 2
- 18
- 8
- 35/6
- 9
- 247/32
- 26
- 33
- 21/68
- 28
- 30
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