Quantity I A and B can do a piece of work in 12 hours and 18 hours resp resp If both started to work...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Quantity I: A and B can do a piece of work in 12 hours and 18 hours resp. resp. If both started to work on alternate hours with B starting the work, find the total time taken to complete the whole work.

Quantity II: 15 hours

I = II or No relation

I < II

I =< II

I > II

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Explanation:

From I: Total work = 36 units
Units of work done by A and B in one hour resp. = 3 units and 2 units
Work done by both of them in two hours = 5 units
Work done by both of them in 14 hours = 7*5 = 35 units
Remaining work = 36 – 35 = 1 unit
Time taken by B to complete the remaining work = ½ hours
Time taken to complete the work = 14.5 hours
I < II

Hence, option 2 is the correct asnwer.

By: Amit Kumar

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Abhinandan

Mam, there seems to be an error in the statement of the question. It should not be A and B started working on alternate "DAYS"; rather it should have been that A and B started working on alternate "HOURS". The same is also implied from the solution provided. This was a good question. And you have explained it well, just the part where A and B work on alternate "days" instead of "hour" seems erroneous. Kindly let me know if I am wrong. Thank You