Question
marc and Aki are building hot wheels marc has a four-inch pieces to make and Aki has a 10-inch pieces. How long will their tracks be when they are first the same length.
30 inches
40 inches
50 inches
20 inches
30 inches
40 inches
50 inches
20 inches
Answers
GPT 3.5
To find out when their tracks will be the same length, we need to find the least common multiple (LCM) of 4 and 10.
The prime factorization of 4 is 2 x 2 and the prime factorization of 10 is 2 x 5.
The LCM is found by taking the highest power of each prime factor:
LCM = 2 x 2 x 5 = 20 inches.
Therefore, their tracks will be the same length when they reach 20 inches.
The prime factorization of 4 is 2 x 2 and the prime factorization of 10 is 2 x 5.
The LCM is found by taking the highest power of each prime factor:
LCM = 2 x 2 x 5 = 20 inches.
Therefore, their tracks will be the same length when they reach 20 inches.