Question

One graphics designer take s 3 hours to design a logo. Her less experienced colleague take s 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?
1. 6 hours
2. 7 hours
3. 10 hours
4. 11 hours
5. 12 hours

Answer 1

Step-by-step explanation:

According to my calculations i think the answer is 10 hours

Answer 2

5. 12 hours

It would take 12 hours  to design a total of 7 logos if they Both start working at the same time.

Explanation:

Given : Time taken by graphics designer to design a logo = 3 hour

Time taken by less experienced graphics designer to design a logo =  4 hours

If they both work together , then time taken by them would be

$\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{4}=\dfrac{7}{12}\\\\ t=\dfrac{12}{7}$

i.e. if they both work together it will take $\dfrac{12}{7}$ hours to design a logo.

Then, the number of hours it will take to design 7 logos = $7\times\dfrac{12}{7}$ hours

= 12 hours

∴ It would take 12 hours  to design a total of 7 logos if they Both start working at the same time.

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