Question

Gavin has 50 tokens in KG use the weather roller coaster three times every hour. Gibson has 12 tokens And fines two more tokens on the ground each hour. How long until they have the same amount number of tokens

Answer 1

They have the same amount of tokens after t = 7.6 hours

Explanation:

Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour. So, the number of token he losses after t hours is 3 token per hour × t hours = 3t. Thus, the number of tokens left after t hours is T = 50 - 3t

Since Gibson initially has 12 tokens and finds two tokens on the ground per hour, he gains 2 tokens per hour. So, the number of token he gains after t hours is 2 token per hour × t hours = 2t. Thus, the number of tokens he has after t hours is T' = 12 + 2t

To calculate the time t when they will have the same tokens, T must be equal to T', that is T = T'.

So, 50 - 3t = 12 + 2t

collecting like terms, we have

50 - 12 = 3t + 2t

38 = 5t

dividing both sides by 5, we have

t = 38/5

t = 7.6 hours

So, they have the same amount of tokens after t = 7.6 hours