Question

Four bells toll after an interval of 8,9,12,15minutes ,respectively.these bells begin to toll together at 3.p.m. at what time will they next toll together

Answer 1

hope this will help you.......

Answer 2

9 p.m time will be next toll together.

What is prime factor example?

• The numbers which are multiplied to get another number.
• For example, 3 and 5 are the factors of 15, i.e. 3 × 5 = 15.
• Prime Factors: A factor which is a prime number and not a composite number is a prime factor.
• For example, 2, 3 and 5 are the prime factors of 30.

According to the question:

Given,

Four bells toll after an interval of 8,9,12,15 minutes, respectively. These bells begin to toll together at 3.p.m.

Prime Factors of 8 = 2 × 2 × 2.

Prime Factors of 9 = 3 × 3.

Prime Factors of 12 = 2 × 2 × 3.

Prime Factors of 15 = 3 × 5.

L.C.M with highest power of prime factors = 2 × 2 × 3 × 2 × 3 × 5.

L.C.M = 360.

That mans that the four balls toll together after 360 minutes.

Now, 60 minutes = 1 hour.

360 minutes = $\left(\frac{1}{60}\right) \cdot 360$

= 6 hours.

Since, it is given that the bells begin to toll together at 3 p.m.

So, the next toll of the four bells together will be after 6 hours.

Thus, 3 p.m + 6 hours.

⇒ 9 p.m

Hence, 9 p.m time will be next toll together.

Learn more about prime factor here,

https://brainly.in/question/83484?msp_poc_exp=5

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