It takes Andy and Ben the same amount of time to eat 1 large piece of chocolate. It takes Charlotte 3 more mins than Andy and Ben to eat the same piece of chocolate. One day, Andy, Charlotte and Ben share 2 pieces of chocolate among them. It takes them 5 mins to eat 2 pieces of chocolate together. Let x represent the time it takes Andy and Ben to eat 1 large piece of chocolate. How long does it take each of them to eat 1 large piece of chocolate?
Let's break down the information given step by step:
1. It takes Andy and Ben the same amount of time to eat 1 large piece of chocolate: Let's say this time is represented by x minutes. So, both Andy and Ben take x minutes each to eat a piece.
2. It takes Charlotte 3 more minutes than Andy and Ben to eat the same piece of chocolate: Since Andy and Ben take x minutes, Charlotte takes x + 3 minutes to eat a piece.
3. Andy, Charlotte, and Ben share 2 pieces of chocolate among them and take 5 minutes to eat them together: Since they are eating 2 pieces, the combined time taken by Andy, Charlotte, and Ben must be 5 minutes. Let's denote Andy and Ben's combined time to eat 2 pieces as 2x (since each of them takes x minutes to eat per piece).
Using this information, we can set up an equation:
Andy's time + Charlotte's time + Ben's time = Total time taken
x + (x + 3) + 2x = 5
Simplifying the equation:
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.5
Therefore, x represents the time it takes Andy and Ben to eat 1 large piece of chocolate, which is 0.5 minutes or 30 seconds.
To find the time it takes each of them individually:
Andy's time = x = 0.5 minutes or 30 seconds
Charlotte's time = x + 3 = 0.5 + 3 = 3.5 minutes or 210 seconds
Ben's time = x = 0.5 minutes or 30 seconds
So, it takes Andy 0.5 minutes, Charlotte 3.5 minutes, and Ben 0.5 minutes to eat 1 large piece of chocolate.