At 1:30 Marlon left his house to go to the beach, a distance of 11.25 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 2 times his walking speed. Find his speed when skateboarding and when walking.
walking speed ---- x mph
skateboard speed = 2x mph
time skateboarding = 2:15 - 1:30 = 3/4 hrs
time walking = 3:00 - 2:15 = 3/4 hrs
solve for x
(3/4)x + (3/4)2x = 11.25
take over
To find Marlon's speed when skateboarding and when walking, we can use the formula: Speed = Distance / Time.
First, let's find the time Marlon spent skateboarding. He left his house at 1:30 and started walking at 2:15. So, he spent (2:15 - 1:30) = 45 minutes skateboarding.
Next, let's find the distance Marlon covered while skateboarding. We know the total distance to the beach is 11.25 miles, and he walked the rest of the way. So, Marlon covered (11.25 miles - distance covered on foot) on his skateboard.
Now, using the formula Speed = Distance / Time, we can calculate Marlon's speed while skateboarding. The time spent skateboarding is 45 minutes, which is equal to (45/60) = 0.75 hours.
So, Marlon's speed while skateboarding is (distance covered on skateboard) / (time spent skateboarding) = [(11.25 miles - distance covered on foot) / 0.75 hours].
Finally, we know that Marlon's speed while skateboarding is 2 times his walking speed. So, his walking speed is (1/2) * (speed while skateboarding).
By substituting these values, we can find Marlon's speed when skateboarding and when walking.