Question

Choose the correct alternative.
Allen and Ben together take 27 days to complete a piece of work. Allen does half as much work as Ben in three-fourth of the time. How much time will Ben take to do it alone (in days)?
40
c
42
48
45
C
52
Р
63%
1
O Search​

Answer 1

Answer:

45

Step-by-step explanation:

A+B takes 27 days

in 1 day A+B does 1/27 part of the work

A does 1/2 work in 3/4 of time

A does whole work in 3/2 of time

=> A:B = 3:2, ratio of time taken or days

=>A:B =2:3 , ratio of work they do

A does 2 parts of work

B does 3 parts of work

A+B together takes 5Parts

5 parts =1/27

1part =1/(27×5)

3parts = 3/(27×5)= 1/45

=> B does 1/45 of the work in 1 day

=> B takes 45 days to finish the whole work