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?(I resent this,I couldn't understand the last one)

Answer provided by our tutors

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?(I resent this,I couldn't understand the last one)

Solution:

It takes X hours for the old one alone,

It takes (X-15) hours for the new one alone

We assume the work is 1

so Time taken to finish a project together is 1/X + 1/(x-15)

so 1/X + 1/(x-15)= 1/4

we calculate it

X=20

so

It takes 20 hours for the old one alone,

It takes 5 hours for the new one alone