Question

One graphic designer takes 3 hours to design a logo. Her less experienced
colleague takes 4 hours to design a logo. How many hours would it take them to
design a total of 7 logos if they both
start working at the same time?

Answer 1

It takes them 12 hours to design a total of 7 logos if they both start working at the same time

Rate

This is the amount per unit time.

Since one graphic designer takes 3 hours to design a logo. Her less experienced colleague takes 4 hours to design a logo, we need to find the rate at which the work is done.

• The rate at which the first graphic designer works is 1 logo/3 hours = 1/3 logo/hr.
• Also, the rate at which the less experienced colleague works is 1 logo/4 hours = 1/4 logo/hr.
• So, their combined rate r = 1/3 logo/hr + 1/4 logo/hr = (4 + 3)/12 logo/hr = 7/12 logo/hr.

Time to design 7 logos

Now, since we require the time to desigh 7 logos, this time is T = number of logos/combined rate

= 7 logos ÷ 7/12 logo/hr

= 12 hr

So, it takes them 12 hours to design a total of 7 logos if they both start working at the same time

Learn more about time here:

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