Kittu and Vedika can complete a job in 25 days working together. Kittu alone can complete it in 35 days. Both of them worked together for 10 days and then Kittu left. Evaluate the number of days Vedika will take to complete the remaining work?
Answers
Given : Kittu and Vedika can complete a job in 25 days working together. Kittu alone can complete it in 35 days.
Both of them worked together for 10 days and then Kittu left.
To Find : Number of days Vedika will take to complete the remaining work
Solution:
Kittu and Vedika can complete a job in 25 days working together.
1 days work of both = 1/25
Kittu alone can complete it in 35 days.
=> 1 day work of kittu = 1/35
=> 1 day work of vedika = 1/25 - 1/35
= (7 - 5)/175
= 2/175
1 days work of both = 1/25
=> 10 days work of both = 10/25 = 2/5
Work left = 1 - 2/5 = 3/5
Number of days vedika will take = (3/5)/(2/175)
= 3 * 175 / ( 5 * 2)
= 3 * 35 / 2
= 105 /2
= 52.5
Vedika will take 52.5 days to complete the remaining work
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Answer:
Kittu and Vedika can complete a job in 25 days working together.
1 days work of both = 1/25
Kittu alone can complete it in 35 days.
=> 1 day work of kittu = 1/35
=> 1 day work of vedika = 1/25 - 1/35
= (7 - 5)/175
= 2/175
1 days work of both = 1/25
=> 10 days work of both = 10/25 = 2/5
Work left = 1 - 2/5 = 3/5
Number of days vedika will take = (3/5)/(2/175)
= 3 * 175 / ( 5 * 2)
= 3 * 35 / 2
= 105 /2
= 52.5
Vedika will take 52.5 days to complete the remaining work
Step-by-step explanation: