William rode his bike 20 miles in 2 hours. Lorie rode her bike 30 miles in 2.5 hours. If they both continue at the same rate, how many more miles will lorie travel in 4.5 hours than William?
4.5 * (30/2.5 - 20/2) = 9.0 miles
To find out how many more miles Lorie will travel in 4.5 hours than William, we need to calculate both their rates of travel.
William's rate:
Distance = 20 miles
Time = 2 hours
Rate = Distance / Time = 20 miles / 2 hours = 10 miles per hour
Lorie's rate:
Distance = 30 miles
Time = 2.5 hours
Rate = Distance / Time = 30 miles / 2.5 hours = 12 miles per hour
Now, we can calculate the distance Lorie will travel in 4.5 hours:
Distance = Rate * Time = 12 miles per hour * 4.5 hours = 54 miles
To find out how many more miles Lorie will travel, we subtract William's distance from Lorie's distance:
Difference = Lorie's distance - William's distance = 54 miles - 20 miles = 34 miles
Therefore, Lorie will travel 34 more miles than William in 4.5 hours.
To find out how many more miles Lorie will travel than William in 4.5 hours, we need to first calculate their respective speeds.
William rode his bike 20 miles in 2 hours, so his speed is calculated by dividing the distance (20 miles) by the time (2 hours):
William's speed = 20 miles / 2 hours = 10 miles/hour
Lorie rode her bike 30 miles in 2.5 hours, so her speed is calculated by dividing the distance (30 miles) by the time (2.5 hours):
Lorie's speed = 30 miles / 2.5 hours = 12 miles/hour
Now that we have their speeds, we can find out how many miles Lorie will travel in 4.5 hours.
Lorie's distance = Lorie's speed * time
Lorie's distance = 12 miles/hour * 4.5 hours = 54 miles
Similarly, we can calculate how many miles William will travel in 4.5 hours using his speed.
William's distance = William's speed * time
William's distance = 10 miles/hour * 4.5 hours = 45 miles
To find out how many more miles Lorie will travel than William, we subtract William's distance from Lorie's distance:
Lorie's distance - William's distance = 54 miles - 45 miles = 9 miles
Therefore, Lorie will travel 9 more miles than William in 4.5 hours.