A man and a boy working together can complete a work in 24 days. if for the last 6 days, the man alone does the work, then it is completed in 26 days. how long will the boy take to complete the work alone?
Answers
Answer:
Topics
General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Exams
Elementary Mathematics
A man and a boy working together can complete a work in 24 days. If for the last 6 days, the man alone does the work, then it is completed in 26 days. How long will the boy take to complete the work alone?
A) 72 days
B) 73 days
C) 49 days
D) 62 days
Correct Answer:
A) 72 days
Description for Correct answer:
Let man's 1 day's work = 1m
and boy's 1 day's work = 1n
1 day's work man and boy = 124
Man's 6 day's work = 6m
Now, for 20 days, both man and boy do the work and for last 6 days, only man does the work. According to the question,
1m+1n=124
=> 20(1m+1n)+6m=1
=> (20×124)+6m=1
6m=(1−2024)=424=16
1m=136
Now from eq. (i)
1m+1n=124
136+1n=124
=> 1n=(124−136)=172
Hence, the boy alone can do the work in 72 days.
Step-by-step explanation: