Marc and Aki are building hot wheels tracks. Marc has 4-inch pieces to make his track, and Aki has 10-inch pieces to make his track. How long will their tracks be when they are first the same length?

Question

Marc and Aki are building hot wheels tracks. Marc has 4-inch pieces to make his track, and Aki has 10-inch pieces to make his track. How long will their tracks be when they are first the same length?
30 inches
20 inches
50 inches
40 inches

GPT 3.5 · Answer

To find the length of Marc's track, we need to find the least common multiple (LCM) of 4 inches and 10 inches.

The prime factorization of 4 is 2^2.
The prime factorization of 10 is 2 * 5.

The LCM of 4 and 10 is 2^2 * 5 = 20 inches.

Therefore, Marc's track will be 20 inches long when it is the same length as Aki's track.