Lincoln can complete a task in 12 days, Joshua can complete it in 18 days. Chris can complete the same task in x days. Chris started the task. After 3 days, Lincoln and Joshua joined. If the task is completed in 4 more days, then find the value of x. A. 14.25 B. 17.28 C. 16.5 D. 15.75
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Answer: D
Step-by-step explanation:
Lincoln's 1 day work= 1/12
Joshua's one day work=1/18
Chris's 1 day work=1/x
Lincoln and Joshua's 1 day work= (1/12 +1/18)= 5/36
Now,
Chris's 3 day work+ (chris+lincoln+joshua's 4 day work)=total work
=> 3/x + 4(1/x + 5/36)= 1
=> 3/x + 4/x + 5/9 = 1
=> 7/x =1 -5/9
=>7/x=4/9
=>x=4/63
∴ Chris can complete a task in = 63/4= 15.75 days
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