At 1:30 Marlon left his house to go to the beach, a distance of 9.375 miles. He rose his skateboard until 2:15, and then walked the rest of the way. He arrived at the beach at 3:00. Marlon's speed on his skateboard is 1.5 times his walking speed. Find his speed when skateboarding and when walking.
x = speed in miles/hour
(45/60)1.5x + (45/60)x = 9.375
Solve for x.
Let's denote Marlon's walking speed as "x" miles per hour.
Given that Marlon's speed on his skateboard is 1.5 times his walking speed, we can calculate his skateboarding speed as 1.5x miles per hour.
Now, let's calculate the time it took Marlon to travel each leg of the trip.
Marlon skateboarded from 1:30 to 2:15, which is a total of 45 minutes or 0.75 hours.
We can use the formula speed = distance / time to determine Marlon's skateboarding speed.
Skateboarding speed = distance / time
Skateboarding speed = 9.375 miles / 0.75 hours
Skateboarding speed = 12.5 miles per hour
Therefore, Marlon's skateboarding speed is 12.5 miles per hour.
Next, let's calculate the time it took Marlon to walk the remaining distance.
Marlon walked from 2:15 to 3:00, which is a total of 45 minutes or 0.75 hours.
Since Marlon's walking speed is "x" miles per hour, we can calculate his walking speed using the formula speed = distance / time.
Walking speed = distance / time
Walking speed = 9.375 miles / 0.75 hours
Walking speed = 12.5 miles per hour
Therefore, Marlon's walking speed is 12.5 miles per hour.
In summary, Marlon's speed when skateboarding is 12.5 miles per hour, and his speed when walking is also 12.5 miles per hour.
To find Marlon's speed when skateboarding and walking, we can use the formula:
Speed = Distance / Time
Let's calculate the time it took Marlon to travel each segment of his journey:
1. Marlon left his house at 1:30 and arrived at the beach at 3:00, so the total time of his journey is 3:00 - 1:30 = 1.5 hours.
2. Marlon skateboarded until 2:15, which is 2:15 - 1:30 = 0.75 hours.
3. Marlon walked the rest of the way from 2:15 to 3:00, which is 3:00 - 2:15 = 0.75 hours.
Now, let's calculate Marlon's speed when skateboarding:
Speed while skateboarding = Distance / Time
We know that the distance Marlon traveled while skateboarding is 9.375 miles and the time he spent skateboarding is 0.75 hours.
So, Marlon's speed while skateboarding = 9.375 miles / 0.75 hours = 12.5 miles per hour.
Next, let's calculate Marlon's speed when walking:
Speed while walking = Distance / Time
We know that the distance Marlon traveled while walking is the remaining distance, which is 9.375 miles - the distance traveled while skateboarding.
So, the distance Marlon traveled while walking is 9.375 miles - 9.375 miles = 0 miles (since he arrived at the beach).
Therefore, Marlon's speed while walking = 0 miles / 0.75 hours = 0 miles per hour (since he didn't walk any distance).
To summarize:
Marlon's speed while skateboarding = 12.5 miles per hour.
Marlon's speed while walking = 0 miles per hour.