A man can do a job in 15 days. If he works for 5 days and then leaves, how many days will it take for 3 men to complete the remaining work?A) 5 daysB) 6 daysC) 7 daysD) 8 days
Question
A man can do a job in 15 days. If he works for 5 days and then leaves, how many days will it take for 3 men to complete the remaining work?A) 5 daysB) 6 daysC) 7 daysD) 8 days
Solution
First, let's determine how much of the job the man completes in the 5 days that he works. Since he can complete the job in 15 days, each day he completes 1/15 of the job. Therefore, in 5 days, he completes 5/15 or 1/3 of the job.
This means that 2/3 of the job is left to be completed.
If one man can complete the job in 15 days, three men can complete the job in 15/3 = 5 days because they can work three times faster.
However, since only 2/3 of the job is left, it will take them 2/3 of the time it would take to complete the whole job. Therefore, it will take them 2/3 * 5 = 10/3 = 3.33 days to complete the remaining work.
However, since the answer choices are all whole numbers, we can round this up to the nearest whole number. Therefore, it will take 4 days for 3 men to complete the remaining work.
But there is no such option in the given choices. So, there might be a mistake in the question or the options provided.
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