Math, asked by adiboss7118, 1 year ago

A is twice efficient as B. A and B together do the same work in as much time as C and D can do together. If the ratio of the number of alone working days of C to D is 2:3 and if B worked 16 days more than C then no of days which A worked alone? A. 18 Days B. 20 Days C. 30 Days D. 36 Days

Answers

Answered by aimcat22
0

Answer:

20 Days

Step-by-step explanation:

Time Taken by A = x days

Time Taken by B = 2x days

Time Taken by C = 2y days

Time Taken by D = 3y days

It is given that B works 16 days more than C

     2x-2y = 16 --------------------> Eqn 1

It is also given that A+B = C+D

     x+2x = 2y+3y

   => 3x = 5y ---------------------> Eqn 2

Solving 1 and 2, we get x = 20 and y = 12.

So, A takes 20 days.

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