At 1: 30 marlon left his house to go to the beach a distance of 6.75 mi. he rode his skateboard until 2: 15 and then walked the rest of the way. he arrived at the beach at 3: 00. marlins speed on his skateboard is 2 times his walking speed. find his speed when skateboarding and when walking

his speed when skateboarding is 6 mph and when walking is 3 mph

Step-by-step explanation:

Let x represent Marlon's walking speed.

Marlins speed on his skateboard is 2 times his walking speed. This means that his skating speed would be 2x.

At 1:30 Marlon left his house to go to the beach a distance of 6.75 mi. He rode his skateboard until 2:15. This means that the total time he spent skating is 45 minutes = 45/60 = 0.75 hours

Distance = speed × time

Distance covered while skating would be

2x × 0.75 = 1.5x

He walked the rest of the way. He arrived at the beach at 3:00. This means that the time that he spent walking is 45 minutes = 0.75 hours.

Distance covered while walking would be

x × 0.75 = 0.75x

Total distance covered is 6.75 miles. Therefore

1.5x + 0.75x = 6.75

2.25x = 6.75

x = 6.75/2.25

x = 3 miles per hour

His skating speed = 2 × 3 = 6 miles per hour.

answer: 40.95

step-by-step explanation: