Respuesta :
Answer:
[tex] \bold{1) 2 \frac{2}{5} hours} \\ 2)36 \: hours}[/tex]
Step-by-step explanation:
to understand this
you need to know about:
- fraction
let's solve:
in 4 hours Maria weve 1 basket
in 1 hour Maria weve ¼ basket
in 6 hours Ju lia weve 1 basket
in 1 hour J ulia weve ⅙
in 1 hour Maria and J ulia can weve
[tex] \sf \frac{1}{4} + \frac{1}{6} \\ \sf = \frac{6 + 4}{24} \\ = \sf \frac{10}{24} \\ \sf \frac{5}{12} [/tex]
[tex]\frac{5}{12}[/tex] basket can be weved in 1 hour by Maria and J ulia
1 basket can be weved in
[tex] \sf 1 \div \frac{5}{12} \\ \sf 1 \times \frac{12}{5} \\ \sf2 \frac{2}{5} \: hours [/tex]
by Maria and J ulia
therefore
15 basket can be weved in
[tex] \frac{12 \times 15}{5} \\ 12 \times 3 \\ 36 \: hours[/tex]
Answer:
2.4 hours for 1 basket
36 hours for 15 baskets
Step-by-step explanation:
The formula to determine the time working together is
1/a + 1/b = 1/c where a and b are the times alone and c is the time together
1/4 + 1/6 = 1/c
Multiply each side by 12c since that is the common denominator
12c(1/4 + 1/6 = 1/c)
3c + 2c = 12
5c = 12
Divide by 5
5c/5 = 12/5
c =2.4 hours
This is the time for 1 basket working together
Now if they need to make 15 baskets together, multiply by 15
15 * 2.4 hours = 36 hours