Answer :
Answer:
Niles and Bob were traveling for 6 hours.
Step-by-step explanation:
The speed or rate at which an object is moving can be computed using the formula:
[tex]s=\frac{d}{t}[/tex]
Here:
s = speed
d = distance traveled
t = time taken
It is provided that Niles and Bob sailed at the same time for the same length of time.
Speed of Niles sailboat is, s₁ = 6 mph.
Distance traveled by Niles' sailboat is, d₁ = 36 miles.
Speed of Bob's sailboat is, s₂ = 16 mph.
Distance traveled by Bob's sailboat is, d₂ = 96 miles.
It took both Niles and Bob the same time to travel the respective distance.
Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:
[tex]t_{1}=\frac{d_{1}}{s_{1}}[/tex]
[tex]=\frac{36}{6}\\=6[/tex]
It took Niles 6 hours to travel 36 miles at 6 mph speed.
Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:
[tex]t_{2}=\frac{d_{2}}{s_{2}}[/tex]
[tex]=\frac{96}{16}\\=6[/tex]
It took Bob 6 hours to travel 96 miles at 16 mph speed.
Thus, Niles and Bob were traveling for 6 hours.