Quandaries
and Queries |
|||
Who is asking: Student
|
|||
Hi, For problem 1 the amount each man earned is his hourly rate times the number of hours he worked. Lets start with Bob. Suppose that Bob makes $R per hour and he worked for H hours. We know that he earned $1260 so
Now Nick. Bob's hourly rate is $3 more than Nick's so Nick's hourly rate is $(R-3).Bob worked 2 hours less than Nick so Nick worked H+2 hours. We know that Nick earned $1260 also so,
From the first equation, R = 1260/H and hence, substituting into the second equation we get.
I would now multiply each side of the equation by H to get
which simplifies to
Solve the quadratic equation for H and then, finally, Nick worked H+2 hours. Penny
|
|||
|