Question

Mr. Max and Mr. Min start off in the same place and head in opposite directions. Mr. Max is traveling at 60 mph and Mr. Min at 55 mph. How long will it be before the two are 345 miles apart?

Answer 1

Answer: it will take 3 hours before the two are 345 miles apart.

Step-by-step explanation:

Let t represent the time it will take for them to be 345 miles apart. It means that after t hours, they would have covered 345 miles.

Distance = speed × time

Mr. Max is traveling at 60 mph. This means that the distance travelled by Mr Max in t hours is 60t

Mr. Min is traveling at 55 mph. This means that the distance travelled by Mr Min in t hours is 55t.

Since the total distance covered is 345 miles, it means that

60t + 55t = 345

115t = 345

t = 345/115

t = 3

Answer 2

Answer:

3 hours.

Step-by-step explanation:

Since they are heading away from each other, their relative velocity is 60+55 = 115 mph. 345 miles/115 mph = 3 hours.

Check by plugging in. In 3 hours, Max travels 3 * 60 mph = 180 miles from the starting point. Min travels 3 * 55 mph = 165 miles in the other direction from the starting point. The total distance is 165 + 180 = 345 miles.