Question

A and b make a 221 metre in 100/ 9 day . They both working on alternate days a starting the work make the same wall in 89/4 days . They both work together make a wall of double length to that wall and get 1800 rupees find the share of b in it??

Answer 1

Answer:

share of b will be Rs 1000

Step-by-step explanation:

Let a builds A meter wall in one day and b builds B meter wall in one day

case -1

a and b make (A + B) m wall in one day

=> in 100/9 days they can make,

(A+B) x 100/9 = 221 m

=> A+B = 221*9/100

case-2

89/4 days can be written as 22 + 1/4 days

Given A will start first then B

=> In 2 days they can build (A+B)m of wall

=> In 22 days they can build = 11(A+B) m of wall

In the last 1/4 days A will work

=> Wall build in last 1/4 days = A/4

Hence in total 89/4 days they will build,

11(A+B) + A/4 = 221 m

=> 11(221*9/100) + A/4 = 221

=> A/4 = 221/100

=> A = 221*4/100

=> B = 221*9/100 - A

=> B = 221*9/100 - 221*4/100 = 221*5/100

Hence the ratio of A:B = 4:5

=> money shared will also be 4:5 ratio = 800 : 1000

Hence share of b will be Rs 1000

Answer 2

Answer:

Rs.1000

Step-by-step explanation:

$11\frac{1}{9} [A+B] = 11\frac{1}{4} [A] +11[B]\\\\Bu solving it we get 5A=4B\\So A : B=4: 5\\9share=Rs.1800 then B=5share=Rs.1000$