Two farmers A and B can harvest a field in 5 days and 7 days respectively . After A has worked for 3 days he is joined by B . In how many more days will they complete the harvesting?
Answers
HARVESTING COMPLETED BY B IN 7 DAYS
SO WORK DONE BY A IN ONE DAY= 1/5
AND B = 1/7
NOW WORK DONE BY A IN 3 DAYS = 3/5
NOW TOTAL WORK DONE BY THEM IN ONE DAY = 1/5+1/7
= 7+5/35
= 12/35
SO DAYS NEDDE TO COMPLETE THE HARVEST=35/12 DAYS
AS WE KNOW THAT 3/5 PART OF WORK HAS BEEN ALREADY DONE BY A
SO NOW TIME TAKEN TO COMPLETE THE HARVEST = 35/12 - 3/5
= 175-36/60
= 139 / 60 DAYS
= 2 19/60 DAYS
Given : Ramesh and suresh, can harvest a field in 5 days and 7 days respectively
After Ramesh has worked for 3 days he is joined by suresh
To Find : in how many more days will they complete the harvesting
Solution:
Ramesh, can harvest a field in 5 days
=> Ramesh can harvest in 1 day = 1/5
Suresh, can harvest a field in 7 days
=> Suresh, can harvest in 1 day = 1/7
Both can harvest in 1 day = 1/5 + 1/7 = 12/35
Ramesh has worked for 3 days = 3(1/5) = 3/5
Remaining Work = 1 - 3/5 = 2/5
Number of days further required = (2/5)/(12/35)
= 70/60
= 7/6 Days
7/6 more Days
and 3 + 7/6 = 25/6 Days altogether
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