Question

Help me

Answer 1

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

Answer 2

Answer:

$\bold{1) 2 \frac{2}{5} hours} \\ 2)36 \: hours}$

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

$\sf \frac{1}{4} + \frac{1}{6} \\ \sf = \frac{6 + 4}{24} \\ = \sf \frac{10}{24} \\ \sf \frac{5}{12}$

$\frac{5}{12}$ basket can be weved in 1 hour by Maria and J ulia

1 basket can be weved in

$\sf 1 \div \frac{5}{12} \\ \sf 1 \times \frac{12}{5} \\ \sf2 \frac{2}{5} \: hours$

by Maria and J ulia

therefore

15 basket can be weved in

$\frac{12 \times 15}{5} \\ 12 \times 3 \\ 36 \: hours$