Work out 25% of £18
2 answers:
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It takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone
<u>Solution:</u>
Let the efficiency of the school teacher be “x” and the efficiency of the student teacher be “y”
Here the word efficiency means the rate of doing work
Let the total work to be completed be W
According to the question,
The time taken by the school teacher to complete the work is 7 hrs.
So we can write it in equation form
---- eqn 1
where W is the total work and x is the efficiency
Similarly for student teacher and school teacher doing the work simultaneously, we can write the equation as
Equating eqn 1 and 2
7x = 4x + 4y
3x = 4y
So in ratio x : y = 4 : 3
Now putting value of x = 4 in equation (1) we get total work to be 28
Now, <em>total time taken by the student teacher = total work ÷ efficiency of student teacher</em>
Hence, total time taken by the student teacher = 28 ÷ 3 = 9.33 hrs
= 9 hrs 19.8 minutes
Hence it takes 9 hrs 19.8 minutes for the student teacher to grade the exams if they worked alone
Answer:
Step-by-step explanation:
Let
x -----> the number of hours
y ----> the total cost to rent a bike in dollars
we know that
The equation of the line in slope intercept form is equal to
where
m is the slope or the unit rate of the linear equation
b is the y-intercept or the initial value
In this problem we have
The unit rate or slope is equal to
The y-intercept (value of y when the value of x is equal to zero) is equal to
----> (fee charge)
substitute the values