Answer: his speed when skateboarding 5 mph and when walking is 2 mph
Step-by-step explanation:
Marlon started riding his skateboard from his house at 1:30 until 2:15 when he started walking. This means that the time he spent riding his skateboard is
2:15 - 1:30 = 45 minutes
Converting 45 minutes to hours, it becomes
45/60 = 0.75 hour
He walked the rest of the way. He arrived at the beach at 3:00. This means that the time he spent walking is
3:00 - 2:15 = 45 minutes
Converting 45 minutes to hours, it becomes
45/60 = 0.75 hour
Let x represent Marlon's walking speed.
Marlon's speed on his skateboard is 2.5 times his walking speed. This means that his speed when skateboarding is 2.5x
Distance = speed × time
Distance covered while walking is
x × 0.75 = 0.75x
Distance covered while skateboarding is
2.5x × 0.75 = 1.875x
Since the total distance to the beach is 5.25 miles, then
0.75x + 1.875x = 5.25
2.625x = 5.25
x = 5.25/2.625
x = 2mph
His speed while skateboarding is
2.5x = 2.5 × 2 = 5mph
