Working together, it takes two computers 20 minutes to send out a company's email. If it takes the slower computer 45 minutes to do the job on its own, how long will it take the faster computer to do the job on its own?

36 minutes

Step-by-step explanation:

Let the productivity of slower computer is x bits/min

That means Slower computer in 45 minutes sends   x*45 bits= company's email

Let the productivity of faster computer is y bits/min

That means that working together slower and faster computers send

x*20+y*20= company's  email or

x*20+y*20=x*45

x*25=y*20

y/x=25/20= 1,25

That means that faster computer sends the mails 1.25 times  faster than slower computer

So faster computer  will need in 1.25 times lees time than slower computer to do this job

45:1.25 =36 min

765238725478629038640962136509762139056074

step-by-step explanation:

64087235609746097215074621039754021037

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4