Tate can develop specific software in 15 days, while Kate takes 30 days to complete it. However Tate do not have more than 3 days to devote, therefore he works along with Kate for only first 3 days of the project and leaves Kate to finish the project on his own. Find how many days will Kate need to finish the project now ? (A)20 (B)24 (C)22 (D)21

• Total work comes out to be 30 units (LCM method). Therefore, Tate can do 2 units work per day and Kate can do 1 unit-work/day. Total work done by both in 1 day = 3 units. Since Tate and Kate work together for 3 days, work completed in 3 days = 3*3 = 9 units. Remaining work = Total Work - 9 = 21 units. Thus, Kate requires 21/1 = 21 days to complete the work. My solution is D.
  Kindly provide the right solution if this is incorrect.
• 4 years agoHelpfull: Yes(3) No(0)
• for 3 days it takes 5 to finish the project after that kate has to start working for remaining days so the project will be finish under 24 days.thats my solution
• 5 years agoHelpfull: Yes(2) No(2)
• 21
  t=1/15,k=1/30
  t+k=1/10
  t and k work for 3 days
  there work will be 3/10 days and the remaining work is 7/10
  it should be completed by k alone
  7/10*30=21
• 4 years agoHelpfull: Yes(1) No(0)