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.Rohan can finish a job in 16 days and Ishaan in 24 days. Rohan works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
- 2.Aditya works twice as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
- 3.Arjun works twice as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?
- 4.Aarav and Aditya together finish a job in 3 days. Aarav alone takes 4 days. How many days would Aditya take alone?
- 5.Arjun can finish a job in 19 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 6.Aarav and Meera together finish a job in 12 days. Aarav alone takes 20 days. How many days would Meera take alone?
- 7.Rohan works twice as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
- 8.Dev can finish a job in 14 days and Priya in 20 days. Dev works alone for 7 days and then stops. Priya finishes the rest. How many days does Priya take?
- 9.Sneha and Vivaan together finish a job in 5 days. Sneha alone takes 30 days. How many days would Vivaan take alone?
- 10.Dev works twice as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
- 11.Meera can finish a job in 17 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 12.Kabir and Kavya together finish a job in 6 days. Kabir alone takes 7 days. How many days would Kavya take alone?
- 13.Rahul can finish a job in 6 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 3 days? =
- 14.Meera works three times as fast as Rohan. Together they finish a job in 9 days. How many days would Rohan take alone?
- 15.Sneha can finish a job in 5 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 16.Arjun can finish a job in 14 days and Manav in 10 days. Arjun works alone for 7 days and then stops. Manav finishes the rest. How many days does Manav take?
- 17.Nisha works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
- 18.Meera can finish a job in 13 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 1 day? =
- 19.Zoya and Nisha together finish a job in 2 days. Zoya alone takes 3 days. How many days would Nisha take alone?
- 20.Arjun and Tara together finish a job in 4 days. Arjun alone takes 5 days. How many days would Tara take alone?
- 21.Tara can finish a job in 4 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 22.Diya can finish a job in 8 days and Dev in 28 days. Diya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
- 23.Saanvi and Manav together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Manav take alone?
- 24.Dev works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
- 25.Ananya can finish a job in 11 days and Isha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
- 26.Aditya works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
- 27.Vivaan and Nisha together finish a job in 6 days. Vivaan alone takes 10 days. How many days would Nisha take alone?
- 28.Kavya can finish a job in 16 days and Kabir in 5 days. What fraction of the job do they finish if they work together for 2 days? =
- 29.Priya works twice as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
- 30.Saanvi can finish a job in 14 days and Dev in 15 days. What fraction of the job do they finish if they work together for 1 day? =
- 31.Manav can finish a job in 4 days and Saanvi in 24 days. Manav works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
- 32.Karan can finish a job in 28 days and Arjun in 16 days. Karan works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
- 33.Ananya works twice as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
- 34.Aarav can finish a job in 10 days and Nisha in 4 days. What fraction of the job do they finish if they work together for 1 day? =
- 35.Dev can finish a job in 16 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 36.Ananya can finish a job in 5 days and Dev in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 37.Diya can finish a job in 5 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
- 38.Karan can finish a job in 8 days and Kabir in 4 days. Karan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
- 39.Zoya and Vivaan together finish a job in 4 days. Zoya alone takes 5 days. How many days would Vivaan take alone?
- 40.Manav can finish a job in 9 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
Answer key
- 9
- 18
- 27
- 12
- 38/21
- 30
- 9
- 10
- 6
- 6
- 85/22
- 42
- 7/8
- 36
- 15/4
- 5
- 30
- 18/65
- 6
- 20
- 28/11
- 14
- 6
- 9
- 81/176
- 20
- 15
- 21/40
- 36
- 29/210
- 18
- 12
- 27
- 7/20
- 48/7
- 95/24
- 9/10
- 3
- 20
- 6
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