Question

Alyssa and her brother, Luke, are racing cars around a track. It takes Alyssa's car 15 seconds to go one complete run around the track. It takes Luke's car 12 seconds to go around the track one time. How many seconds will it take for both cars to return to the starting point at the same time?

Please explain because I’m looking for work. And How can you do it please

Answer 1

It takes 60 seconds for both cars to return to the starting point at the same time

Solution:

Given that,

It takes Alyssa's car 15 seconds to go one complete run around the track

It takes Luke's car 12 seconds to go around the track one time

How many seconds will it take for both cars to return to the starting point at the same time?

So, we need to find the LCM of 15 and 12

LCM of 15 and 12

Prime factors of 15 = 3 x 5

Prime factors of 12 = 2 x 2 x 3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 5 = 60

Thus, it takes 60 seconds for both cars to return to the starting point at the same time

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Answer 2

It will take $\dfrac{20}{3}=6\dfrac{2}{3}\ seconds$ for both cars to return to the starting point at the same time.

Step-by-step explanation:

Since we have given that

Time taken by Alyssa = 15 seconds

Time taken by Luke = 12 seconds

So, both cars to return to the starting point at the same time is given by

$\dfrac{1}{15}+\dfrac{1}{12}\\\\=\dfrac{4+5}{60}\\\\=\dfrac{9}{60}\\\\=\dfrac{3}{20}$

Hence, It will take $\dfrac{20}{3}=6\dfrac{2}{3}\ seconds$ for both cars to return to the starting point at the same time.

# learn more:

Alyssa and her brother, Luke, are racing cars around a track. It takes Alyssa's car 15 seconds to go one complete run around the track. It takes Luke's car 12 seconds to go around the track one time. How many seconds will it take for both cars to return to the starting point at the same time?

https://brainly.in/question/15409706