7-8 Work Problemsx
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7-8 Work Problems
Objective: To solve work problems
7-8 Work Problems
Use the formula:
Work Rate X time = work done
rt=w
Work rate means the fractional part
of a job done in a given unit of
time.
7-8 Work Problems
Example 1:
Sheri can rake the lawn in 2 h. Her
work rate is the part of the job she
can do in 1 h.
r t = w r = w/t r = 1/2
Therefore her work is ½ job per
hour.
7-8 Work Problems
Example 2:
Josh can split a cord of wood in 4 days.
His father can split a cord in 2 days.
How long will it take to split a cord of
wood if they work together.
7-8 Work Problems
Example 2:
Josh can split a cord of wood in 4 days.
His father can split a cord in 2 days.
How long will it take to split a cord of wood if they work together.
Step 1: Find the number of days the job
will take them.
Step 2: Let x = number of days needed
Step 3: Since josh does the job in 4
days: his work rate = ¼.
7-8 Work Problems
Example 2:
Josh can split a cord of wood in 4 days.
His father can split a cord in 2 days.
How long will it take to split a cord of wood if they work together.
Step 3: Since his father does the job in
2 days his work rate =1/2.
Work rate X Time
Josh
Father
1/4
1/2
X
x
= Work
done
7-8 Work Problems
Example 2:
Work rate X Time
Josh
Father
1/4
1/2
= Work
done
X
x
Step 3: Josh’s part + Father’s Job is whole job.
Step 4: Solve
7-8 Work Problems
Example 3: Robot A takes 6 min to weld a fender. Robot
B takes only 5 ½ min. If they work together for 2 min.
How long will it take Robot B to finish welding the
fender by itself.
X = number of minutes needed for Robot B to finish.
Robot B’s work rate =
1
5 1/2
Work rate X Time
Robot A
Robot B
1/6
2/11
2
2+x
= Work
done
7-8 Work Problems
Example 3:
Work rate X Time
Robot A
Robot B
1/6
2/11
= Work
done
2
2+x
A’s part of job + B’s part = whole job
7-8 Work Problems
Homework: P. 328 1 – 15 odds