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.Dev and Tara together finish a job in 7 days. Dev alone takes 8 days. How many days would Tara take alone?
- 2.Kabir works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
- 3.Dev can finish a job in 4 days and Sneha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 4.Saanvi can finish a job in 9 days and Diya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
- 5.Nisha can finish a job in 10 days and Arjun in 20 days. Nisha works alone for 8 days and then stops. Arjun finishes the rest. How many days does Arjun take?
- 6.Aditya works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
- 7.Rahul can finish a job in 13 days and Aditya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 8.Ananya and Ishaan together finish a job in 4 days. Ananya alone takes 6 days. How many days would Ishaan take alone?
- 9.Rahul can finish a job in 15 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 10.Vivaan can finish a job in 2 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 11.Diya can finish a job in 20 days and Isha in 28 days. Diya works alone for 10 days and then stops. Isha finishes the rest. How many days does Isha take?
- 12.Sneha can finish a job in 9 days and Aarav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 13.Aarav and Arjun together finish a job in 2 days. Aarav alone takes 3 days. How many days would Arjun take alone?
- 14.Saanvi works three times as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
- 15.Diya can finish a job in 6 days and Tara in 15 days. What fraction of the job do they finish if they work together for 3 days? =
- 16.Sneha can finish a job in 5 days and Vivaan in 13 days. What fraction of the job do they finish if they work together for 2 days? =
- 17.Tara works three times as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
- 18.Zoya and Pooja together finish a job in 9 days. Zoya alone takes 12 days. How many days would Pooja take alone?
- 19.Sneha can finish a job in 4 days and Manav in 12 days. What fraction of the job do they finish if they work together for 1 day? =
- 20.Priya and Rohan together finish a job in 2 days. Priya alone takes 4 days. How many days would Rohan take alone?
- 21.Manav and Kabir together finish a job in 2 days. Manav alone takes 3 days. How many days would Kabir take alone?
- 22.Dev can finish a job in 5 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 23.Saanvi and Tara together finish a job in 6 days. Saanvi alone takes 9 days. How many days would Tara take alone?
- 24.Saanvi and Vivaan together finish a job in 6 days. Saanvi alone takes 8 days. How many days would Vivaan take alone?
- 25.Aarav works three times as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
- 26.Rohan can finish a job in 4 days and Diya in 20 days. Rohan works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
- 27.Manav can finish a job in 24 days and Ananya in 4 days. Manav works alone for 12 days and then stops. Ananya finishes the rest. How many days does Ananya take?
- 28.Farhan and Aarav together finish a job in 5 days. Farhan alone takes 6 days. How many days would Aarav take alone?
- 29.Nisha works twice as fast as Isha. Together they finish a job in 6 days. How many days would Isha take alone?
- 30.Karan can finish a job in 30 days and Diya in 9 days. Karan works alone for 10 days and then stops. Diya finishes the rest. How many days does Diya take?
- 31.Kavya and Zoya together finish a job in 16 days. Kavya alone takes 20 days. How many days would Zoya take alone?
- 32.Priya works three times as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
- 33.Kavya works twice as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
- 34.Nisha can finish a job in 20 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 35.Aarav can finish a job in 20 days and Kavya in 5 days. Aarav works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
- 36.Priya works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
- 37.Farhan can finish a job in 6 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
- 38.Aarav works three times as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
- 39.Ananya can finish a job in 11 days and Rahul in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 40.Aarav can finish a job in 18 days and Diya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
Answer key
- 56
- 20
- 28/11
- 13/18
- 4
- 12
- 91/20
- 12
- 15/4
- 7/4
- 14
- 126/23
- 6
- 8
- 7/10
- 36/65
- 48
- 36
- 1/3
- 4
- 6
- 45/14
- 18
- 24
- 8
- 10
- 2
- 30
- 18
- 6
- 80
- 16
- 33
- 20/11
- 3
- 9
- 13/21
- 32
- 198/29
- 1/6
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