Varsha is expected to maintain am average attendance of 9.25 hours per but she typically spends 8.5 hours a day. After 8 working days she realized shortfall in her attendance and plans to work an additional 70 minutes over her usual timings every day to make up for the shortfall.
How many working days will she need to meet the required average?
3
5
4.5
None of the questions
Answers
Answer:
a. .........................
Given:
Required average = 9.25hrs/day
Varsha's average = 8.5hrs/day
Additional working time of Varsha after 8 working days = 70mins= 1.16hrs
To Find:
The number of working days will she need to meet the required average
Solution:
Let the number of required days be x.
We know that average or the mean is the sum of all the observations divided by the number of observations.
Here, Required average = ∑ (No. of working hours) / No. of days
For the first 8 days, Varsha worked for 8.5 hours.
For the next x days, she worked for 8.5+1.16 hours = 9.66 hours
According to the question,
(8 X 8.5 + x X 9.66) / 8 + x = 9.25
Cross multiplying,
68 + 9.66x = 74 + 9.25x
or 0.41 x = 6
or x = 14.63
So Varsha needs 15 days to meet the required average.
Hence, (d) none of the options is correct.