A can do a job in 4 1/2days, and B in 9 days.
2.
(1) How long will they take to complete the job together?​
(2) If

1 thought on “A can do a job in 4 1/2days, and B in 9 days.<br />2.<br />(1) How long will they take to complete the job together?​ <br />(2) If”

1. Answer:

   Step-by-step explanation:

   Given :-

   A can do a job in = 4(1/2) Days. = (9/2) days.

   B can do same job in = 9 days.

   To find :-

   i) How long will they take to complete the job together ?

   ii) If they are paid 3900 for the job, what will be each person’s share ?

   Solution :-

   → LCM of (9/2) & 9 = 9 unit = Let Total work .

   So,

   → Efficiency of A = ( Total work) / (Total Time taken by A alone) = 9 / (9/2) = 9 * (2/9) = 2 Unit / day.

   → Efficiency of B = ( Total work) / (Total Time taken by A alone) = 9 / 9 = 1 Unit / day.

   Hence,

   → Efficiency of (A + B) = 2 + 1 = 3 unit / day.

   Therefore,

   → Time Taken by Both of Them To complete whole work = 9/3 = 3 Days..(Ans i)

   Hence, They take 3 days to complete the job together..

   _________________

   Now, we know That, Salary of workers is Given in The Ratio of Their Efficiency .

   → Efficiency of A = 2 unit/day.

   → Efficiency of B = 1 unit / day.

   So,

   → A share : B share = 2 : 1

   Let A share is 2x & B share is x .

   Than,

   → 2x + x = 3900

   → 3x = 3900

   → x = 1300

   Hence,

   → A share = 2x = 2*1300 = Rs.2600

   → B share = x = 1*1300 = Rs.1300. (Ans ii)

   Therefore, Share of A & B are Rs,2600 & Rs.1300 Respectively.

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