Answer and step-by-step explanation:
We know that Ned types 360 words in 6 minutes while Nate types 220 words in 4 minutes. We are then asked to find out who would type more words in 10 minutes.
To solve this, we need to first reduce the fraction of how many words can be typed to a certain amount of minutes to find how many minutes exactly can Ned and Nate type in one single minute.
Ned types 360 words in 6 minutes, our fraction would be :
[tex]\frac{360}{6}[/tex]
Nate types 220 words in 4 minutes, our fraction would be :
[tex]\frac{220}{4}[/tex]
Now divide both sides by their LCM :
Ned:
[tex]\frac{360/6}{6/6}[/tex]
Nate:
[tex]\frac{220/4}{4/4}[/tex]
Ned :
[tex]\frac{60}{1}[/tex]
Nate:
[tex]\frac{55}{1}[/tex]
This means that in one minute, Ned can type 60 words while Nate can type 55 words. Since we know that 60 is a greater number than 55, we can assume that Ned will type more words than Nate in 10 minutes.