Question

Meg and her sister are going to make 30 sandwiches for the family picnic. If Meg can make a sandwich in 35 seconds and her sister can make a sandwich in 29 seconds how long would it take both girls to complete tha job?

Answer 1

@pooja195 HEY POOJA HALP ME XD

Answer 2

I use the idea of
rate*time = amount

any idea what the rate of Meg is ?

Answer 3

Meg is one sandwich per 35 seconds right?

Answer 4

yes, 1/35
and 1/29 for the other
if they don't slow each other down, we can add their rates
\[ \left(\frac{1}{35}+\frac{1}{29} \right)t= 30 \]

Answer 5

Oh ok so I add those and divide by 30 to get the answer

Answer 6

you would get a number A (call it)
A t = 30
divide both sides by A
t = 30/A

Answer 7

D: I don't get it what does A stand for

Answer 8

just a number (i.e. the sum of 1/35 + 1/29)

the idea is you divide both sides of the equation by that number to "solve for t"

Answer 9

oh ok what do I do after that step?

Answer 10

what did you get so far ?

Answer 11

Thank you for your help but im going to be completely honest and say idk whats going on

Answer 12

1/35+1/29 = 64/1015

Answer 13

oh right so
t=30/A
A=64/1015
t=30*1015/64= 3045/64

Answer 14

\[ \left(\frac{1}{35}+\frac{1}{29} \right)t= 30 \\ \frac{65}{1015}t= 30 \]

Answer 15

you mean
30450/64
or
475.78 seconds

Answer 16

that is about 8 minutes

Answer 17

hmm Thank you so much :D:D I think I can apply your thoughts onto my next homework problem