Question

A is thrice as good a worker as b and takes 8 days less to do a piece of work than b in how many days b completethe work

Answer 1

Answer:

12 days

Step-by-step explanation:

let A and B be cake bakers

given that A is thrice as efficient as B

i.e. if B bakes 1 cake per day, A bakes 3 cakes per day.

LCM of (3, 1) = 3

let the no. of cakes = 3k

days required for B = $\frac{3k}{no. of cakes per day}$

= $\frac{3k}{1}$

= 3k

days required for A = $\frac{3k}{no. of cakes per day}$

= $\frac{3k}{3}$

= k

Difference between no. of days = 3k - k

8 = 3k - k

8 = 2k

k = $\frac{8}{2}$

= 4

days required for B = 3K = 3 x 4 = 12 days