Answer
Verified
376.8k+ views
Hint: According to the question, we need to find how many times it will happen that the bells ring together. We are provided with the information that after how many seconds the bells toll and from this using the concept of least common multiple we will be able to find the number that they toll together.
Complete step-by-step solution:
According to the question, we are given that all the four bells ring together at 9:00a.m. and after that we are given that they ring after 7, 8, 11 and 12 seconds.
Now, we need to find that in the next three tools of each bell how many times it happens that they ring together.
Now, from the given information we have that the LCM of 7, 8, 11, 12 is 1848 which means that the four bells tolls together after every 1848 seconds.
Now, we know that in three hours we have $3\times 3600=10800$ seconds.
Therefore, number of times the bell will toll
$\begin{align}
& =\dfrac{10800}{1848} \\
& \Rightarrow 5 \\
\end{align}$
Hence, we can say that the bell will ring 5 times in the next three hours.
Note: In such types of questions, we need to basically be very clear with the logic and also sharp at evaluating when we have time constraint. Now, for this we need to find the relation so that we can relate the tolls at different seconds at once so for that we need to be aware with the concept of highest common divisor and least common multiple which are mainly used in such situations when we need to find common things.
Complete step-by-step solution:
According to the question, we are given that all the four bells ring together at 9:00a.m. and after that we are given that they ring after 7, 8, 11 and 12 seconds.
Now, we need to find that in the next three tools of each bell how many times it happens that they ring together.
Now, from the given information we have that the LCM of 7, 8, 11, 12 is 1848 which means that the four bells tolls together after every 1848 seconds.
Now, we know that in three hours we have $3\times 3600=10800$ seconds.
Therefore, number of times the bell will toll
$\begin{align}
& =\dfrac{10800}{1848} \\
& \Rightarrow 5 \\
\end{align}$
Hence, we can say that the bell will ring 5 times in the next three hours.
Note: In such types of questions, we need to basically be very clear with the logic and also sharp at evaluating when we have time constraint. Now, for this we need to find the relation so that we can relate the tolls at different seconds at once so for that we need to be aware with the concept of highest common divisor and least common multiple which are mainly used in such situations when we need to find common things.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE