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Professor Davis can write a book manuscript in 5 days. His graduate student Miguel can write the same manuscript in 10 days. After working alone for 3 days, Professor Davis was called away on urgent business, which left Miguel alone to finish the manuscript. How many days did it take Miguel to finish it?

Professor Davis finished 3/5 of the job . Job left 2/5.
using RT= W to calculate Miguel's rate
1/10T=2/5
T= 4

OA: C
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Davis takes 5 days to finish 1 book which means he completes 20% each day.
Miguel takes 10 days to finish 1 book which means he completes 10% each day.

In 3 days Davis finished 60% of the book which means 20* 3 days= 60%
Miguel needs to finish the other 40%. As per his speed he will take 10*4 days to finish 40%.

Ans: 4 days. Option C
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R T W
D: (1/5) 5d 1
M: (1/10) 10d 1

After 3 days -> Davis wrote 3/5 (60%)
40% remains
I know that Miguel writes 1/10 (10%) for day, therefore 4/10 (40%) in 4 days.

Answer -> C
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David work 1/5
michael work 1/10
3 day work 1/5*3= 3/5
Remaining work = 2/5
2/5*10=4 days
michael will require 4 days to complete the remaining work
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