Scott went snowboarding down a mountain. the trail was 2 miles long and took him 5 minutes to complete. if tom snowboards three times as fast, how long would it take him to get down the mountain?

1 minute and 40 seconds or 1 2/3 minute

Step-by-step explanation:

If it took Scott 2 miles for 5 minutes, than it took him 2.5 minutes to do 1 mile. For 3 times as fast, we need to divide by 3. 2.5/3= 5/2*1/3=5/6. It is 2 miles, so 5/6*2=10/6=5/3=1 2/3 minute. 2/3 minute=40 seconds. So, the answer is 1 minute and 40 seconds or 1 2/3 minute.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: