Amanda is thrice as efficient as James and is therefore able to finish a work in 32 days less than James. Find the number of days taken them to complete 45% of the work by working together.
Answers
Answer:
5(2/5)
Step-by-step explanation:
Amanda's work : James work = 3:1
Time taken by Amanda : James = 1:3 -->1
take X days as time taken by James
so, amanda takes X-32 days ---> 2
from 1 and 2
1/3=x-32/x
by simplification,x = 48
so James takes 48 days to finish a work and Amanda takes 16 days to finish a work.
If Amanda and James work together they take 12 days
45% of the work is (45/100)*12 = 5(2/5)
Given : Amanda is thrice as efficient as James and is therefore able to finish a work in 32 days less than James
To find : the number of days them to complete 45% of the work by working together
Solution:
James 1 days works = x
James completed work in 1/x days
Amanda 1 days work = 3x
Amanda complete work in 1/3x days
1/x - 1/3x = 32
=> 3 - 1 = 32 * 3x
=> x = 1/48
Together 1 day work = x + 3x = 4x
= 4(1/48)
= 1/12
Hence 1 day work = 1/12
Total work completed together in 12 Days
45% of the work by working together = (45/100)12
= 5.4 Days
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