two farmers, Ramesh and suresh, can harvest a field in 5 days and 7 days respectively.After Ramesh has worked for 3 days he is joinned by suresh. in how many more days will they complete the harvesting
Answers
Step-by-step explanation:
Given two farmers, 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. in how many more days will they complete the harvesting
- Ramesh’s one day work will be 1/5
- Suresh ‘s one day work will be 1/7
- Ramesh worked alone for 3 days and so work completed will be 3 x 1/5 = 3/5
- So work left will be 1 – 3/5 = 2/5
- Now Suresh joins Ramesh
- Work done by both in one day will be Ramesh + Suresh ‘s one day work.
- 1/5 + 1/7
- = 12/35
- Now 12/35 of work is completed in one day
- Therefore 2/5 of work will be completed in 35/12 x 2/5 = 70 / 60
- = 7/6 days
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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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