Answer:
It will take 140.76 seconds to swim 0.150 miles.
Explanation:
Distance covered by man by swimming for t time= d
d = 1500.0 miles
t = 14 minutes + 34.56 seconds
1 min = 60 seconds
t = 14 × 60 seconds + 34.56 seconds = 874.56 seconds
Speed of the man while swimming = S = [tex]\frac{1500.0 m}{874.56 s}=1.715 m/s[/tex]
If the man swims 0.150 miles with the same speed ,then the time taken by him be T.
0.150 miles = 0.150 × 1609.34 m = 241.401 m
(1 mile= 1609.34 meters)
[tex]S=\frac{Distance}{time}=\frac{241.401 m}{T}[/tex]
[tex]1.715 m/s=\frac{241.401 m}{T}[/tex]
T = 140.76 seconds
It will take 140.76 seconds to swim 0.150 miles.