Select the correct answerX, Y and Z complete a work in 6 days. X or Y alone can do the same work in 16 days. In how many days Z alone can finish the same work?Options12 days24 days36 days16 days
Question
Select the correct answerX, Y and Z complete a work in 6 days. X or Y alone can do the same work in 16 days. In how many days Z alone can finish the same work?Options12 days24 days36 days16 days
Solution
To solve this problem, we need to understand the concept of work and time, and how they relate to each other in this context.
Step 1: Find the work done by X, Y, and Z together in one day. Since they complete the work in 6 days, they do 1/6 of the work in one day.
Step 2: Find the work done by X or Y in one day. Since X or Y can complete the work in 16 days, they do 1/16 of the work in one day.
Step 3: To find the work done by Z in one day, subtract the work done by X or Y from the work done by X, Y, and Z together. So, Z does 1/6 - 1/16 = 10/96 = 5/48 of the work in one day.
Step 4: To find the number of days Z needs to complete the work alone, take the reciprocal of the work done by Z in one day. So, Z can complete the work in 48/5 = 9.6 days.
However, since 9.6 days is not an option, there might be a mistake in the problem statement or the options provided.
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