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.Diya works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
- 2.Priya and Karan together finish a job in 4 days. Priya alone takes 5 days. How many days would Karan take alone?
- 3.Vivaan can finish a job in 2 days and Sneha in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 4.Pooja can finish a job in 4 days and Farhan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 5.Zoya and Tara together finish a job in 6 days. Zoya alone takes 10 days. How many days would Tara take alone?
- 6.Priya and Diya together finish a job in 6 days. Priya alone takes 8 days. How many days would Diya take alone?
- 7.Farhan can finish a job in 6 days and Zoya in 30 days. Farhan works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 8.Zoya can finish a job in 20 days and Sneha in 24 days. Zoya works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
- 9.Sneha can finish a job in 20 days and Diya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 10.Saanvi can finish a job in 8 days and Kabir in 13 days. What fraction of the job do they finish if they work together for 2 days? =
- 11.Manav can finish a job in 15 days and Kabir in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 12.Diya and Pooja together finish a job in 4 days. Diya alone takes 5 days. How many days would Pooja take alone?
- 13.Nisha can finish a job in 13 days and Rahul in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 14.Karan can finish a job in 6 days and Meera in 5 days. What fraction of the job do they finish if they work together for 1 day? =
- 15.Saanvi works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
- 16.Rahul can finish a job in 12 days and Nisha in 20 days. Rahul works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
- 17.Isha works twice as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
- 18.Diya works twice as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?
- 19.Priya works three times as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
- 20.Kabir can finish a job in 18 days and Rohan in 12 days. What fraction of the job do they finish if they work together for 2 days? =
- 21.Karan and Priya together finish a job in 6 days. Karan alone takes 7 days. How many days would Priya take alone?
- 22.Kabir and Rohan together finish a job in 9 days. Kabir alone takes 10 days. How many days would Rohan take alone?
- 23.Karan can finish a job in 15 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 24.Diya can finish a job in 20 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 25.Ananya can finish a job in 11 days and Saanvi in 8 days. What fraction of the job do they finish if they work together for 2 days? =
- 26.Vivaan and Aarav together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Aarav take alone?
- 27.Kavya can finish a job in 26 days and Tara in 18 days. Kavya works alone for 13 days and then stops. Tara finishes the rest. How many days does Tara take?
- 28.Aditya can finish a job in 13 days and Manav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 29.Arjun and Ishaan together finish a job in 4 days. Arjun alone takes 5 days. How many days would Ishaan take alone?
- 30.Kabir and Kavya together finish a job in 9 days. Kabir alone takes 10 days. How many days would Kavya take alone?
- 31.Nisha can finish a job in 5 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 32.Rahul can finish a job in 2 days and Kavya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 33.Arjun and Pooja together finish a job in 2 days. Arjun alone takes 3 days. How many days would Pooja take alone?
- 34.Rohan and Aarav together finish a job in 3 days. Rohan alone takes 6 days. How many days would Aarav take alone?
- 35.Farhan can finish a job in 5 days and Ananya in 15 days. Farhan works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
- 36.Manav works twice as fast as Aditya. Together they finish a job in 5 days. How many days would Aditya take alone?
- 37.Tara can finish a job in 20 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 38.Farhan can finish a job in 16 days and Isha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 39.Nisha and Karan together finish a job in 8 days. Nisha alone takes 10 days. How many days would Karan take alone?
- 40.Aarav can finish a job in 11 days and Manav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
Answer key
- 6
- 20
- 30/17
- 60/19
- 15
- 24
- 20
- 18
- 340/37
- 21/52
- 30/17
- 20
- 65/18
- 11/30
- 27
- 10
- 36
- 36
- 16
- 5/18
- 42
- 90
- 30/17
- 340/37
- 19/44
- 6
- 9
- 208/29
- 20
- 90
- 40/13
- 6/5
- 6
- 6
- 12
- 15
- 60/23
- 208/29
- 40
- 22/13
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