Sita and gita can do a work in 20 days and 25 days respectively both begin together but after a few days Sita leaves.then gita finishes the remaining work in 10 days.after how many days did sita leaves
Answers
Answer:1.11 days
Step-by-step explanation:
time taken by Gita to do work = 20 days
time taken by Sita to do work = 25 days
work done by Gita in 1 day = 1/20
work done by Sita in 1 day = 1/25
work done done by both of them together = 1/20 + 1/25 = 9/100
therefore, time taken for them to do work together = reciprocal of 9/100 = 100/9 = 11.11 days = 11 days
work done by Sita alone = 10 days
thus no of days they did work together = 11 - 10 = 1 day
therefore Gita leaves after 1 day
As per the given question, Sita left after 20/3 days
Given:
Time taken by Gita to do work = 20 days
Time taken by Sita to do work = 25 days
To Find:
After how many days did Sita leaves
Solution:
Let Sita and Geeta work together for days = x
Work done by Gita in 1 day = 1/20
Work done by Sita in 1 day = 1/25
Since Gita alone works for 10 days,
Therefore -
1/25 x 10
= 10/25
= 2/5
Remaining work -
= 1 - 2/5
= 3/5
Calculating the total number of days of both -
= 3/5 = x ( 1/10 + 1/25)
= 3/5 = x (35/250)
x = 20/3
Answer: As per the given question, Sita left after 20/3 days
#SPJ3