Question

a soap factory produces 9600 soaps in 6 days working 15 hours a day.in how many days will it produce 144000 soaps working 3hours more a day​

Answer 1

Answer:

75 Days

Step-by-step explanation:

9600 soap made in 6 days

9600/6 = 1600/- per day

in 15 hrs they make 1600 soap

1600/15 = 106.67 soap per day

in 18 hrs 106.67 x 18 = 1920 soap per day

if 1920 soap made per day

so 144000/1920 = 75 days

Answer 2

A soap factory will produce 144000 soaps in 75 days.

Step-by-step explanation:

Given:

Number of soaps made in 6 days = 9600

Number of hours worked per day = 15 hours

We need to find the number of days required to produce 144000 soaps working 18 hours per day.

Solution:

First we will find the production of soap in 1 day.

Now we know that;

6 days= 9600 soaps

1 day = Number of soaps in 1 day.

Using Unitary method we get;

Number of soaps in 1 day = $\frac{9600}{6}= 1600\ soaps$

Now we will find the number of soaps produce in 1 hour.

So we know that;

15 hours = 1600 soaps

1 hours = number of soaps in 1 hour

Again Using Unitary method we get;

number of soaps in 1 hour = $\frac{1600}{15}=106.67\ soaps$

Now we know that;

1 hour =106.67 soaps

so in 18 hour = number of soaps produce in 18 hour.

Again Using Unitary method we get;

number of soaps in 18 hour = $106.67\times18 =1920 \ soaps$

So we can say that;

1920 soaps = 1 day working for 18 hours

144000 soaps = Number of days required to produce 144000 soaps working for 18 hours.

Again Using Unitary method we get;

Number of days required to produce 144000 soaps working for 18 hours = $\frac{144000}{1920} = 75\ days$

Hence A soap factory will produce 144000 soaps in 75 days.