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.Kabir can finish a job in 8 days and Tara in 16 days. Kabir works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
- 2.Zoya and Sneha together finish a job in 15 days. Zoya alone takes 24 days. How many days would Sneha take alone?
- 3.Kabir can finish a job in 4 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 1 day? =
- 4.Dev can finish a job in 10 days and Karan in 20 days. Dev works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
- 5.Tara works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
- 6.Rohan can finish a job in 6 days and Pooja in 24 days. Rohan works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
- 7.Saanvi and Manav together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Manav take alone?
- 8.Vivaan can finish a job in 15 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
- 9.Kabir can finish a job in 30 days and Zoya in 15 days. Kabir works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 10.Manav can finish a job in 15 days and Ananya in 18 days. Manav works alone for 10 days and then stops. Ananya finishes the rest. How many days does Ananya take?
- 11.Aarav works three times as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
- 12.Diya and Karan together finish a job in 6 days. Diya alone takes 8 days. How many days would Karan take alone?
- 13.Kavya can finish a job in 12 days and Kabir in 30 days. Kavya works alone for 8 days and then stops. Kabir finishes the rest. How many days does Kabir take?
- 14.Rahul can finish a job in 13 days and Vivaan in 15 days. What fraction of the job do they finish if they work together for 1 day? =
- 15.Nisha works twice as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
- 16.Kavya works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
- 17.Aarav and Kabir together finish a job in 6 days. Aarav alone takes 12 days. How many days would Kabir take alone?
- 18.Tara can finish a job in 12 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 19.Ananya can finish a job in 18 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 1 day? =
- 20.Kabir can finish a job in 20 days and Karan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 21.Nisha and Kavya together finish a job in 6 days. Nisha alone takes 7 days. How many days would Kavya take alone?
- 22.Kabir can finish a job in 8 days and Manav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
- 23.Arjun and Farhan together finish a job in 2 days. Arjun alone takes 6 days. How many days would Farhan take alone?
- 24.Ishaan can finish a job in 5 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 25.Farhan can finish a job in 30 days and Isha in 12 days. Farhan works alone for 25 days and then stops. Isha finishes the rest. How many days does Isha take?
- 26.Kavya works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
- 27.Kabir can finish a job in 5 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
- 28.Rahul can finish a job in 8 days and Ishaan in 24 days. Rahul works alone for 6 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
- 29.Aarav and Rahul together finish a job in 2 days. Aarav alone takes 6 days. How many days would Rahul take alone?
- 30.Nisha and Saanvi together finish a job in 5 days. Nisha alone takes 6 days. How many days would Saanvi take alone?
- 31.Diya can finish a job in 6 days and Kavya in 30 days. Diya works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
- 32.Ananya can finish a job in 20 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 33.Meera can finish a job in 7 days and Vivaan in 28 days. Meera works alone for 1 day and then stops. Vivaan finishes the rest. How many days does Vivaan take?
- 34.Kabir can finish a job in 7 days and Rahul in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 35.Ananya can finish a job in 16 days and Kavya in 7 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 16 days and Saanvi in 11 days. What fraction of the job do they finish if they work together for 3 days? =
- 37.Farhan can finish a job in 6 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 38.Sneha can finish a job in 18 days and Ishaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 39.Isha can finish a job in 17 days and Rahul in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 40.Kabir and Arjun together finish a job in 4 days. Kabir alone takes 6 days. How many days would Arjun take alone?
Answer key
- 14
- 40
- 11/36
- 18
- 24
- 4
- 6
- 23/120
- 12
- 6
- 16
- 24
- 10
- 28/195
- 12
- 18
- 12
- 84/13
- 7/45
- 80/9
- 42
- 13/40
- 3
- 35/12
- 2
- 24
- 11/15
- 6
- 3
- 30
- 10
- 60/23
- 24
- 77/18
- 112/23
- 81/176
- 15/4
- 234/31
- 51/20
- 12
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