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.Nisha works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
- 2.Kavya can finish a job in 14 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 3.Aarav can finish a job in 8 days and Sneha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 4.Kavya can finish a job in 15 days and Diya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
- 5.Rohan can finish a job in 12 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
- 6.Rohan and Pooja together finish a job in 10 days. Rohan alone takes 14 days. How many days would Pooja take alone?
- 7.Karan can finish a job in 9 days and Meera in 6 days. Karan works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
- 8.Rahul can finish a job in 18 days and Manav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
- 9.Meera can finish a job in 7 days and Aarav in 20 days. What fraction of the job do they finish if they work together for 1 day? =
- 10.Kavya can finish a job in 6 days and Farhan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 11.Vivaan and Farhan together finish a job in 3 days. Vivaan alone takes 4 days. How many days would Farhan take alone?
- 12.Diya can finish a job in 13 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 13.Aditya can finish a job in 4 days and Manav in 26 days. Aditya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
- 14.Kavya can finish a job in 9 days and Karan in 27 days. Kavya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
- 15.Manav can finish a job in 10 days and Tara in 20 days. Manav works alone for 7 days and then stops. Tara finishes the rest. How many days does Tara take?
- 16.Farhan and Manav together finish a job in 4 days. Farhan alone takes 6 days. How many days would Manav take alone?
- 17.Ishaan and Diya together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Diya take alone?
- 18.Dev and Arjun together finish a job in 12 days. Dev alone takes 15 days. How many days would Arjun take alone?
- 19.Kabir can finish a job in 5 days and Sneha in 30 days. Kabir works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
- 20.Farhan can finish a job in 16 days and Dev in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 21.Vivaan and Diya together finish a job in 8 days. Vivaan alone takes 10 days. How many days would Diya take alone?
- 22.Diya can finish a job in 30 days and Meera in 5 days. Diya works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
- 23.Karan works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
- 24.Priya and Ananya together finish a job in 3 days. Priya alone takes 4 days. How many days would Ananya take alone?
- 25.Isha and Kavya together finish a job in 2 days. Isha alone takes 3 days. How many days would Kavya take alone?
- 26.Karan and Rohan together finish a job in 2 days. Karan alone takes 3 days. How many days would Rohan take alone?
- 27.Rohan can finish a job in 8 days and Ananya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
- 28.Aarav and Tara together finish a job in 8 days. Aarav alone takes 16 days. How many days would Tara take alone?
- 29.Aarav can finish a job in 13 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 30.Rohan can finish a job in 9 days and Arjun in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 31.Rohan works three times as fast as Kavya. Together they finish a job in 4 days. How many days would Kavya take alone?
- 32.Priya can finish a job in 5 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 33.Ananya can finish a job in 10 days and Rahul in 14 days. Ananya works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
- 34.Meera works three times as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
- 35.Ananya can finish a job in 6 days and Farhan in 28 days. Ananya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
- 36.Meera can finish a job in 6 days and Karan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
- 37.Farhan and Priya together finish a job in 10 days. Farhan alone takes 15 days. How many days would Priya take alone?
- 38.Aditya can finish a job in 5 days and Manav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
- 39.Rohan can finish a job in 14 days and Farhan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
- 40.Zoya can finish a job in 20 days and Kavya in 4 days. Zoya works alone for 5 days and then stops. Kavya finishes the rest. How many days does Kavya take?
Answer key
- 8
- 126/23
- 40/13
- 26/55
- 5/18
- 35
- 2
- 11/36
- 27/140
- 18/5
- 12
- 143/24
- 13
- 18
- 6
- 12
- 6
- 60
- 24
- 112/23
- 40
- 4
- 24
- 12
- 6
- 6
- 7/24
- 16
- 91/20
- 90/19
- 16
- 10/7
- 7
- 32
- 14
- 17/66
- 30
- 14/45
- 6/35
- 3
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