हिंदी

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. - Mathematics

Advertisements
Advertisements

प्रश्न

There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?

योग
Advertisements

उत्तर

Since they both move in the same direction and at the same time, to find the time when will they both meet together again, it is enough if we find the LCM of 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

LCM (18, 12) = 2 × 2 × 3 × 3 = 36

Therefore, Sonia and Ravi will meet again after 36 minutes.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Real Numbers - Exercise 1.2 [पृष्ठ ११]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 10
अध्याय 1 Real Numbers
Exercise 1.2 | Q 7 | पृष्ठ ११

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Express the number as a product of its prime factor:

140


Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers.


Determine the prime factorisation of each of the following positive integer:

58500


Express the number as a product of its prime factor:

3825


Express the number as a product of its prime factor:

5005


Find the LCM and HCF of the following integers by applying the prime factorisation method.

17, 23 and 29


If m, n are natural numbers, for what values of m, does 2n × 5m ends in 5?


The sum of the exponents of the prime factors in the prime factorization of 1729 is


For some integer q, every odd integer is of the form ______.


n2 – 1 is divisible by 8, if n is ______.


If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is ______.


Find the HCF and LCM of 26, 65 and 117, using prime factorisation.


Assertion (A): The HCF of two numbers is 5 and their product is 150. Then their LCM is 40.

Reason(R): For any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b.


Read the following passage:

Khushi wants to organize her birthday party. Being health conscious, she decided to serve only fruits in her birthday party. She bought 36 apples and 60 bananas and decided to distribute fruits equally among all.

Based on the above information, answer the following questions:

  1. How many guests Khushi can invite at the most?
  2. How many apples and bananas will each guest get?
    1. If Khushi decides to add 42 mangoes, how many guests Khushi can invite at the most?
      OR
    2. If the cost of 1 dozen of bananas is ₹ 60, the cost of 1 apple is ₹ 15 and cost of 1 mango is ₹ 20, find the total amount spent on 60 bananas, 36 apples and 42 mangoes.

If n is a natural number, then 8n cannot end with digit


Three bells toll at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they next toll together?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×