Jes makes 4 pizzas on her own in 20 minutes, whereas Kyle, on his own, makes 4 pizzas in 30 minutes. How long, in minutes, does it take Jes and Kyle to make 20 pizzas when they work together?
In one minute,
Jes makes 4/20 = 1/5 pizza
Kyle makes 4/30 = 2/15 pizza
So, together, in one minute, they make 1/3 pizza
20 pizzas * 3 min/pizza = 60 minutes
Well, it looks like Jes and Kyle have quite the pizza-making skills! With Jes cranking out 4 pizzas in 20 minutes and Kyle making 4 pizzas in 30 minutes, they definitely make a great team.
Now, to answer your question. If they work together, we can see that Jes can make 1 pizza in 20/4 = 5 minutes, while Kyle can make 1 pizza in 30/4 = 7.5 minutes.
So, working together, they can make 1 pizza in a whopping 5 + 7.5 = 12.5 minutes.
To make 20 pizzas, we simply multiply the time it takes to make 1 pizza (12.5 minutes) by 20, giving us 12.5 x 20 = 250 minutes.
So, it would take Jes and Kyle approximately 250 minutes to make 20 pizzas when they work together. That's a lot of pizza-making fun!
To find out how long it takes Jes and Kyle to make 20 pizzas together, we need to calculate their combined pizza-making speed.
Let's calculate the number of pizzas each can make in one minute:
Jes can make 4 pizzas in 20 minutes, so her pizza-making speed is 4 pizzas / 20 minutes = 0.2 pizzas per minute.
Kyle can make 4 pizzas in 30 minutes, so his pizza-making speed is 4 pizzas / 30 minutes = 0.1333 pizzas per minute (rounded to 4 decimal places).
Now, let's add their pizza-making speeds together:
Total pizza-making speed = 0.2 + 0.1333 = 0.3333 pizzas per minute (rounded to 4 decimal places).
Since their combined pizza-making speed is 0.3333 pizzas per minute, to make 20 pizzas, they would need:
20 pizzas / 0.3333 pizzas per minute = 60 minutes (rounded to the nearest minute).
Therefore, it would take Jes and Kyle 60 minutes to make 20 pizzas together.
To find out how long it takes Jes and Kyle to make 20 pizzas when they work together, we can first calculate their individual pizza-making rates.
Jes takes 20 minutes to make 4 pizzas, so we can determine her rate by dividing the number of pizzas by the time taken: 4 pizzas / 20 minutes = 0.2 pizzas per minute.
Similarly, Kyle takes 30 minutes to make 4 pizzas, so his rate is: 4 pizzas / 30 minutes = 0.1333 pizzas per minute (rounded to four decimal places).
To find their combined rate, we add their individual rates together: 0.2 pizzas per minute + 0.1333 pizzas per minute = 0.3333 pizzas per minute (rounded to four decimal places).
Finally, we can calculate the time it takes for Jes and Kyle to make 20 pizzas by dividing the number of pizzas by their combined rate: 20 pizzas / 0.3333 pizzas per minute = 60 minutes (rounded to the nearest whole minute).
Therefore, it will take Jes and Kyle 60 minutes to make 20 pizzas when they work together.