Jill is 20 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 1.5 kilometers per hour. They meet in 5 hours. How fast is Joe walking?
distance = speed*time
both walk for 5 hours
Let x = Joe's speed
1.5*5 + x*5 = 20
7.5 + 5x = 20
5x = 12.5
x = 2.5
check:
Jill walks 1.5*5 = 7.5 km
Joe walks 2.5 * 5 = 12.5 km
total: 20 km
To find out how fast Joe is walking, we first need to determine the total distance covered by both Jill and Joe.
Since they meet after 5 hours and the combined distance they both travel is 20 kilometers, we can divide the total distance by the time:
Total distance = 20 kilometers
Time = 5 hours
Average rate of both Jill and Joe combined = total distance / time
Average rate = 20 kilometers / 5 hours
Average rate = 4 kilometers per hour
Next, we need to subtract Jill's speed from the combined average speed to find Joe's speed.
Joe's speed = Average rate - Jill's speed
Joe's speed = 4 kilometers per hour - 1.5 kilometers per hour
Joe's speed = 2.5 kilometers per hour
Therefore, Joe is walking at a speed of 2.5 kilometers per hour.
To find Joe's walking speed, we can use the formula:
Distance = Speed x Time
We know that Jill walks at a speed of 1.5 kilometers per hour and they meet after 5 hours.
So, Jill's distance = Jill's speed x Time = 1.5 km/h x 5 hours = 7.5 kilometers.
Since Jill is 20 kilometers away from Joe and they meet in the middle, Joe's distance is also 7.5 kilometers.
Now, we can find Joe's walking speed:
Distance = Speed x Time
7.5 kilometers = Joe's speed x 5 hours
Divide both sides of the equation by 5 to solve for Joe's speed:
Joe's speed = 7.5 kilometers / 5 hours
Joe's speed = 1.5 kilometers per hour
Therefore, Joe is walking at a speed of 1.5 kilometers per hour.