Question 74

Twopersons A and B can do a workin 24 and 30 daysrespectively. After working together for some days, left. B finished the remaining workin 12 days. Then, the number of days that A workedis

Solution

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Let the total work be 120 units 
Hence, A works a = 5 units/day and B works b = 4 units/day 

B completes remaining work in 12 days. Hence, B completes 48 units alone.
This means A and B together completed = 120 - 48 = 72 units 
Total days A and B worked together = 72/(5+4) = 8 days 

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