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Question

A's work efficiency is three times than B's and so A is able to finish a job in 60 days less than B. If they work together, they can do this job in ___ days.

[Enter your answer in decimals]


Solution

Time taken by A : Time taken by B = 1 : 3
That is if A takes 1 day to do the work , B will take 3 days.
Let the number of days taken by A  be x.
Hence B will take x+60 days 

                               A's work                                   B's work 

                                    1                                              3

                                   x                                         x+60 

3x=x+60 
2x=60
x=30
Hence, if A takes 30 days to finish the work , then B will take x+60 = 90 days.
A's one day of work = 130
B's one day of work = 190
Amount of work done by them in one day if they work together is;
130+190=3+190=490
Hence, together they will complete in the 904 days, which is, 22.5 days.


Mathematics

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