siddhans wrote:
Victor's job requires him to complete a series of identical jobs. If Victor is supervised at work, he finishes each job three days faster than if he is unsupervised. If Victor works for 144 days and is supervised for half the time, he will finish a total of 36 jobs. How long would it take Victor to complete 10 jobs without any supervision?
A. 34
B. 52
C. 60
D. 70
E. 92
himgkp1989Before we get all bogged down in algebra, let's just take a second to see if we can plug in and get to the finish line. My full scratch paper for this question is attached...sure looks easier than the algebra!
We are told that he works for 144 days and is supervised for half the time, so supervised for 72 days and unsupervised for 72 days. And in that time, he completes 36 jobs.
Unsupervised takes three days longer.
Let's try supervised takes 1 day and unsupervised takes 4 days. He would finish 72 jobs supervised and 72/4=18 jobs unsupervised. That's 90 jobs. Too many.
Let's try supervised takes 2 days and unsupervised takes 5 days. Oh, wait, 72 isn't divisible by 5. Let's move on.
Let's try supervised takes 3 days and unsupervised takes 6 days. He would finish 72/3=24 supervised and 72/6=12 unsupervised. That's 36. Yay!
It takes 6 days to finish a job unsupervised. So how long does it take to finish 10 jobs unsupervised? 60 days.
Answer choice C.
ThatDudeKnowsPluggingIn
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