At the spring fling, john can make 5 cups of hot tea in 2 minutes. Sammy can make 6 cups of hot tea in 2.5 minutes. How long should it take them to make hot tea for all 245
john's rate = 5 cups/2 min = 2.5 cups/min
sam's rate = 6 cups/2.5 min = 2.4 cups/min
combined rate = 4.9 cups/min
so time to make 245 cups = 245/4.9 = 50 minutes
check:
in 50 minutes, john can make 50(5/2) = 125 cups
in 50 minutes , sam can make 50(6/2.5) = 120 cups
total = 245 cups
To find out how long it would take John and Sammy to make 245 cups of hot tea, we can first calculate their individual rates of making tea.
John can make 5 cups of hot tea in 2 minutes, so his rate can be calculated as:
Rate of John = Cups made / Time taken = 5 cups / 2 minutes
Simplifying this, we get:
Rate of John = 2.5 cups/minute
Similarly, Sammy can make 6 cups of hot tea in 2.5 minutes, so his rate can be calculated as:
Rate of Sammy = Cups made / Time taken = 6 cups / 2.5 minutes
Simplifying this, we get:
Rate of Sammy = 2.4 cups/minute
Now, let's assume it takes them 't' minutes to make 245 cups of hot tea together.
John's contribution would be (t minutes x John's rate) and Sammy's contribution would be (t minutes x Sammy's rate). Adding these together should equal 245 cups of hot tea.
John's contribution: t minutes x 2.5 cups/minute
Sammy's contribution: t minutes x 2.4 cups/minute
Adding these together, we have:
t * 2.5 + t * 2.4 = 245
Simplifying this equation, we get:
4.9t = 245
To solve for 't', we divide both sides by 4.9:
t = 245 / 4.9
Calculating this, we find:
t = 50
Therefore, it would take John and Sammy 50 minutes to make 245 cups of hot tea together.