Abhay and Sujay can together finish a work in 50 days. They worked together for 35 days and then Sujay left. After another 21 days, Abhay finished the remaining work. In how many days Abhay alone can finish the work?
A)70 days B)75 days C)80 days D)60 days

• given :
  
  let the total days Abhay needed be x
  
  he completed 15 days work in 21 days alone
  
  than the total no. of days that he needed to complete the work alone ~ 15 : 21 = 50 : x
  
  ~ 15/21 = 50/x
  
  ~ 15x = 50 × 21
  
  ~ 15x = 1050
  
  ~ x = 1050/15
  
  ~ x = 70
  
  so Abhay alone can finish the work at 70 days
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• 70
  Abhay and Sujay can complete a work in 50d
  Abhay and Sujay worked together for=35d
  Abhay completed the remaining work in=21d
  For 5d of together work=7d of Abhays work
  50÷5=10
  Abhay can complete the total work in=10*7=70days
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