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.Arjun and Vivaan together finish a job in 6 days. Arjun alone takes 24 days. How many days would Vivaan take alone?
- 2.Zoya and Isha together finish a job in 21 days. Zoya alone takes 30 days. How many days would Isha take alone?
- 3.Priya can finish a job in 5 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 4.Tara works three times as fast as Meera. Together they finish a job in 10 days. How many days would Meera take alone?
- 5.Manav can finish a job in 7 days and Nisha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
- 6.Kabir and Rohan together finish a job in 4 days. Kabir alone takes 5 days. How many days would Rohan take alone?
- 7.Diya can finish a job in 6 days and Arjun in 20 days. Diya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
- 8.Farhan works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
- 9.Ishaan can finish a job in 20 days and Dev in 8 days. What fraction of the job do they finish if they work together for 2 days? =
- 10.Dev can finish a job in 10 days and Vivaan in 8 days. What fraction of the job do they finish if they work together for 1 day? =
- 11.Kabir can finish a job in 9 days and Meera in 18 days. Kabir works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
- 12.Aarav can finish a job in 4 days and Nisha in 24 days. Aarav works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
- 13.Isha can finish a job in 5 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 1 day? =
- 14.Diya can finish a job in 8 days and Vivaan in 12 days. Diya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
- 15.Isha can finish a job in 6 days and Nisha in 10 days. Isha works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
- 16.Karan can finish a job in 10 days and Nisha in 5 days. Karan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
- 17.Kavya works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
- 18.Karan works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
- 19.Kabir can finish a job in 28 days and Meera in 18 days. Kabir works alone for 14 days and then stops. Meera finishes the rest. How many days does Meera take?
- 20.Pooja can finish a job in 7 days and Diya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
- 21.Diya works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
- 22.Kabir can finish a job in 7 days and Ananya in 14 days. Kabir works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
- 23.Tara and Kabir together finish a job in 10 days. Tara alone takes 15 days. How many days would Kabir take alone?
- 24.Ishaan works twice as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
- 25.Nisha works three times as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
- 26.Manav and Priya together finish a job in 2 days. Manav alone takes 3 days. How many days would Priya take alone?
- 27.Priya can finish a job in 4 days and Farhan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
- 28.Aarav works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
- 29.Pooja can finish a job in 19 days and Rohan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
- 30.Kabir can finish a job in 7 days and Pooja in 14 days. Kabir works alone for 5 days and then stops. Pooja finishes the rest. How many days does Pooja take?
- 31.Kabir can finish a job in 13 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 32.Aditya can finish a job in 11 days and Manav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 33.Manav and Rohan together finish a job in 2 days. Manav alone takes 3 days. How many days would Rohan take alone?
- 34.Diya and Aditya together finish a job in 2 days. Diya alone takes 3 days. How many days would Aditya take alone?
- 35.Manav works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
- 36.Kabir works twice as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
- 37.Saanvi can finish a job in 27 days and Rahul in 18 days. Saanvi works alone for 24 days and then stops. Rahul finishes the rest. How many days does Rahul take?
- 38.Diya works three times as fast as Arjun. Together they finish a job in 7 days. How many days would Arjun take alone?
- 39.Rahul and Farhan together finish a job in 8 days. Rahul alone takes 10 days. How many days would Farhan take alone?
- 40.Meera can finish a job in 15 days and Diya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
Answer key
- 8
- 70
- 80/21
- 40
- 36/77
- 20
- 10
- 6
- 7/20
- 9/40
- 6
- 18
- 22/85
- 6
- 5
- 2
- 32
- 8
- 9
- 78/133
- 20
- 12
- 30
- 9
- 28
- 6
- 69/76
- 24
- 25/38
- 4
- 26/15
- 55/16
- 6
- 6
- 12
- 21
- 2
- 28
- 40
- 29/105
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