John can eat a melon 2 minutes faster than Sam can eat an identical melon. If they share one melon, they can eat it together in 2.4 minutes. How long does it take each of them to eat a melon?

It takes John ___ minutes, and Sam ___ minutes

Respuesta :

Answer:

John: 4 minutes Sam: 6 minutes

Step-by-step explanation:

Sam eats the melon in 0.2 minutes.

John eats the melon in 2.2 minutes.

What are the linear equations that represent this question?

x - y = 2 equation 1

x + y = 2.4 equation 2

Where:

  • x = minutes it takes John to eat the melon
  • y = minutes it takes Sam to eat the melon

How many minutes does John eat the melon?

In order to determine the required value, take the following steps:

Add equation 1 and equation 2 together

2x = 4.4

Divide both sides by 2

x = 2.2

How many minutes does Sam eat the melon?

Substitute for x in equation 2

2.2 + y = 2.4

Combine similar terms

y = 2.4 - 2.2

y = 0.2 minutes

To learn more about simultaneous equations, please check: brainly.com/question/25875552