
A machine can paint 340 toy boats in 45 minutes. How many boats can it paint in one hour?
Answer
447.6k+ views
Hint: We will first convert the 45 minutes into hours. Then, we will use the unitary method to find out how many toys can be painted in an hour with the same rate.
Complete step by step answer:
We are given that we are required to find out how many toys can be painted in an hour, when 340 toys can be painted in 45 minutes.
We know that in 1 hour, we have 60 minutes.
This can be written as follows:-
60 minutes equals 1 hour.
Therefore, 1 minute is equal to $\dfrac{1}{{60}}$ hrs.
Now, multiplying this by 45 in the minute’s side as well as the hour side, we will then obtain the following equation with us:-
Therefore, 45 minutes are equal to $\dfrac{{45}}{{60}}$ hrs.
Crossing – off 15 from both the numerator and denominator, we will then obtain the following equation with us:-
Thus, we have: 45 minutes are equal to \[\dfrac{3}{4}\] hrs.
Thus, we have: In \[\dfrac{3}{4}\] hours, we have painted 340 toy boats.
Therefore, in 1 hour, we can paint $\dfrac{{340}}{{\dfrac{3}{4}}}$ toy boats.
Therefore, In 1 hour, we can paint $\dfrac{{340 \times 4}}{3} = \dfrac{{1360}}{3}$ toy boats.
Thus, we have 453.33 toy boats per hour.
Note:
The students must note that we have crossed – off 15 from both the numerator and denominator because we know that 15 can never be equal to 0 and we can never cross – off any variable which has even the slightest possibility of being equal to 0.
The students must also commit to the memory that: 60 minutes equals to 1 hour.
The students must go to find out about 1 unit when some other unit is given that is known as the unitary method. Here, we have used the unitary method only in the solution mentioned above.
Complete step by step answer:
We are given that we are required to find out how many toys can be painted in an hour, when 340 toys can be painted in 45 minutes.
We know that in 1 hour, we have 60 minutes.
This can be written as follows:-
60 minutes equals 1 hour.
Therefore, 1 minute is equal to $\dfrac{1}{{60}}$ hrs.
Now, multiplying this by 45 in the minute’s side as well as the hour side, we will then obtain the following equation with us:-
Therefore, 45 minutes are equal to $\dfrac{{45}}{{60}}$ hrs.
Crossing – off 15 from both the numerator and denominator, we will then obtain the following equation with us:-
Thus, we have: 45 minutes are equal to \[\dfrac{3}{4}\] hrs.
Thus, we have: In \[\dfrac{3}{4}\] hours, we have painted 340 toy boats.
Therefore, in 1 hour, we can paint $\dfrac{{340}}{{\dfrac{3}{4}}}$ toy boats.
Therefore, In 1 hour, we can paint $\dfrac{{340 \times 4}}{3} = \dfrac{{1360}}{3}$ toy boats.
Thus, we have 453.33 toy boats per hour.
Note:
The students must note that we have crossed – off 15 from both the numerator and denominator because we know that 15 can never be equal to 0 and we can never cross – off any variable which has even the slightest possibility of being equal to 0.
The students must also commit to the memory that: 60 minutes equals to 1 hour.
The students must go to find out about 1 unit when some other unit is given that is known as the unitary method. Here, we have used the unitary method only in the solution mentioned above.
Recently Updated Pages
Master Class 10 Computer Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Trending doubts
When Sambhaji Maharaj died a 11 February 1689 b 11 class 8 social science CBSE

How many ounces are in 500 mL class 8 maths CBSE

Advantages and disadvantages of science

1 meter is equal to how many feet class 8 maths CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

What led to the incident of Bloody Sunday in Russia class 8 social science CBSE
