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.Manav can finish a job in 27 days and Saanvi in 9 days. Manav works alone for 9 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
- 2.Kavya can finish a job in 10 days and Arjun in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 3.Rahul can finish a job in 7 days and Isha in 10 days. What fraction of the job do they finish if they work together for 3 days? =
- 4.Karan can finish a job in 15 days and Priya in 9 days. Karan works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
- 5.Karan can finish a job in 5 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 1 day? =
- 6.Kavya can finish a job in 7 days and Aarav in 14 days. Kavya works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
- 7.Isha works twice as fast as Tara. Together they finish a job in 6 days. How many days would Tara take alone?
- 8.Nisha works three times as fast as Dev. Together they finish a job in 4 days. How many days would Dev take alone?
- 9.Ishaan can finish a job in 13 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 10.Kavya and Sneha together finish a job in 2 days. Kavya alone takes 3 days. How many days would Sneha take alone?
- 11.Rohan can finish a job in 11 days and Aditya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 12.Diya works three times as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
- 13.Manav and Sneha together finish a job in 5 days. Manav alone takes 30 days. How many days would Sneha take alone?
- 14.Kabir can finish a job in 7 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 1 day? =
- 15.Nisha can finish a job in 7 days and Manav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
- 16.Ishaan can finish a job in 12 days and Kavya in 15 days. Ishaan works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
- 17.Kabir works three times as fast as Priya. Together they finish a job in 12 days. How many days would Priya take alone?
- 18.Tara and Kavya together finish a job in 5 days. Tara alone takes 6 days. How many days would Kavya take alone?
- 19.Isha can finish a job in 8 days and Tara in 16 days. Isha works alone for 7 days and then stops. Tara finishes the rest. How many days does Tara take?
- 20.Saanvi can finish a job in 17 days and Ananya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
- 21.Ananya can finish a job in 6 days and Saanvi in 21 days. Ananya works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
- 22.Meera can finish a job in 18 days and Tara in 15 days. What fraction of the job do they finish if they work together for 1 day? =
- 23.Dev can finish a job in 11 days and Sneha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 24.Kabir can finish a job in 8 days and Ananya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
- 25.Sneha and Isha together finish a job in 4 days. Sneha alone takes 5 days. How many days would Isha take alone?
- 26.Isha can finish a job in 4 days and Dev in 26 days. Isha works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
- 27.Pooja can finish a job in 6 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. =
- 28.Dev can finish a job in 7 days and Manav in 14 days. Dev works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
- 29.Karan can finish a job in 4 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 30.Rohan can finish a job in 8 days and Kavya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
- 31.Arjun and Nisha together finish a job in 9 days. Arjun alone takes 10 days. How many days would Nisha take alone?
- 32.Arjun can finish a job in 18 days and Tara in 4 days. Arjun works alone for 9 days and then stops. Tara finishes the rest. How many days does Tara take?
- 33.Saanvi works twice as fast as Aarav. Together they finish a job in 4 days. How many days would Aarav take alone?
- 34.Farhan and Saanvi together finish a job in 9 days. Farhan alone takes 10 days. How many days would Saanvi take alone?
- 35.Tara and Ananya together finish a job in 2 days. Tara alone takes 3 days. How many days would Ananya take alone?
- 36.Ishaan works twice as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
- 37.Meera can finish a job in 6 days and Ishaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 38.Arjun and Dev together finish a job in 2 days. Arjun alone takes 3 days. How many days would Dev take alone?
- 39.Farhan can finish a job in 9 days and Diya in 18 days. Farhan works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
- 40.Aarav works three times as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
Answer key
- 6
- 190/29
- 51/70
- 6
- 1/4
- 6
- 18
- 16
- 65/18
- 6
- 198/29
- 16
- 6
- 3/14
- 12/35
- 10
- 48
- 30
- 2
- 32/255
- 7
- 11/90
- 154/25
- 21/40
- 20
- 13
- 114/25
- 10
- 20/9
- 57/88
- 90
- 2
- 12
- 90
- 6
- 18
- 24/7
- 6
- 10
- 20
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