Respuesta :
Answer:
41.14 mph
Step-by-step explanation:
We are given that Cat is a high speed catamaran auto feery that operates between city A and city B.
Cat travel distance in trip =144 miles
Time taken by Cat in trip=2 and one half hours=[tex]2+1\frac{1}{2}=2+\frac{3}{2}=2+1.5=3.5 hours[/tex]
We know that speed=[tex]\frac{Total\;distance}{time\;taken}[/tex]
Substitute the value in the given formula
Then, we get speed of Cat=[tex]\frac{144}{3.5}=41.14 mph[/tex]
Hence, the speed of Cat=41.14 mph
The catamaran speed for this trip is [tex]\boxed{57.6{\text{ miles/hour}}}.[/tex]
Further explanation:
The relationship between speed, distance and time can be expressed as follows,
[tex]\boxed{{\text{Speed}} = \frac{{{\text{Distance}}}}{{{\text{Time}}}}}[/tex]
Given:
The distance covered by the catamaran is [tex]144{\text{ miles}}.[/tex]
The time taken to travel is 2 and one half hours.
Explanation:
Consider the speed of catamaran for this trip as [tex]S{\text{ miles/hours}}.[/tex]
The distance between the city A and city B is [tex]144{\text{ miles}}.[/tex]
The time taken to travel is 2 and one half hours.
The time taken by the Cat can be expressed as follows,
[tex]\begin{aligned}{\text{Time}} &= 2 + \frac{1}{2}\\&= 2 + 0.5\\&= 2.5\\\end{aligned}[/tex]
The speed can be obtained as follows,
[tex]\begin{aligned}{\text{Speed}} &= \frac{{144}}{{2.5}}\\&= \frac{{1440}}{{25}}\\&= 57.6{\text{ miles/hour}}\\\end{aligned}[/tex]
The catamaran speed for this trip is [tex]\boxed{57.6{\text{ miles/hour}}}.[/tex]
Learn more:
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Speed
Keywords: Cat, high-speed, catamaran, auto ferry, operations, city A, city B, operates, 144 miles, trip, 2 hours, one half hours, catamaran, speed, distance, time, trip, speed for trip.
