Problema Solution

It takes an old copier 15 hours longer than the new onw to finish a job.It takes them 4 hours to finish a project together. How long will it take each of them to copy the job alone?

Answer provided by our tutors

 

If you could complete a project, by yourself, in four hours and your friend could do the same project in four hours, then in two hours, working 

together, you could complete the project.  What if you could complete the job in four hours, but your friend could do the job in five hours, how long 

would it take to complete the job together? 

This section focuses on work.  The key to work problems is understanding work rate.  A work rate is the fraction of the job that a person could 

complete in one unit (minute, hour, day, etc.)  If someone could complete a job in four hours, their work rate is 

4

1

 If someone could complete an  .

assignment in 30 minutes, their work rate is 

30

1

 If a job could be complete in a week, their work rate is  .

7

1

Finally, if a job was completed in x  .

hours, the work rate is 

x

1

 .

There are two general types of work problems: missing work rate or missing time.  In most every case, the equation is set equal to 1.  This is because 

we are trying to complete one whole job.  To solve, a chart may be use to help organize the information.  The following formula is how the equation 

is generated

If you could complete a project, by yourself, in four hours and your friend could do the same project in four hours, then in two hours, working 

together, you could complete the project.  What if you could complete the job in four hours, but your friend could do the job in five hours, how long 

would it take to complete the job together? 

This section focuses on work.  The key to work problems is understanding work rate.  A work rate is the fraction of the job that a person could 

complete in one unit (minute, hour, day, etc.)  If someone could complete a job in four hours, their work rate is 

4

1

 If someone could complete an  .

assignment in 30 minutes, their work rate is 

30

1

 If a job could be complete in a week, their work rate is  .

7

1

Finally, if a job was completed in x  .

hours, the work rate is 

x

1

 .

There are two general types of work problems: missing work rate or missing time.  In most every case, the equation is set equal to 1.  This is because 

we are trying to complete one whole job.  To solve, a chart may be use to help organize the information.  The following formula is how the equation 

is generated