Answer: The speed when walking = 3.2 miles per hour
The speed when skateboarding=2(3.2)=6.4 miles per hour
Step-by-step explanation:
Let x be the walking speed then his speed on skateboard be 2x.
Time taken in skateboarding = 1:30-2:15= 45 minutes=3/4 hour
Distance traveled by skating is given by :-
[tex]d_1=speed*time=2x(\frac{3}{4})=\frac{3}{2}x[/tex]
Time taken for walking = 2:15-3:00=45 minutes=3/4 hour
Distance traveled by walking is given by :-
[tex]d_2=speed*time=\frac{3}{4}x[/tex]
Distance between house and beach = 7.2 miles
[tex]\\\Rightarrow\ d_1+d_2=7.2\\\Rightarrow\ \frac{3}{2}x+\frac{3}{4}x=7.2\\\\\Rightarrow\ \frac{9}{4}=7.2\\\Rightarrow\ x=\frac{7.2\times4}{9}\\\Rightarrow\ x=3.2[/tex]
Hence, The speed when walking = 3.2 miles per hour
The speed when skateboarding=2(3.2)=6.4 miles per hour
