Question

The Cat is a​ high-speed catamaran auto ferry that operates between city A and city B. The Cat can make the 144​-mile trip in about 2 and one half hours. Find the catamaran speed for this trip.

Answer 1

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=$2+1\frac{1}{2}=2+\frac{3}{2}=2+1.5=3.5 hours$

We know that speed=$\frac{Total\;distance}{time\;taken}$

Substitute the value in the given formula

Then, we get speed of Cat=$\frac{144}{3.5}=41.14 mph$

Hence, the speed of Cat=41.14 mph

Answer 2

The catamaran speed for this trip is $\boxed{57.6{\text{ miles/hour}}}.$

Further explanation:

The relationship between speed, distance and time can be expressed as follows,

$\boxed{{\text{Speed}} = \frac{{{\text{Distance}}}}{{{\text{Time}}}}}$

Given:

The distance covered by the catamaran is $144{\text{ miles}}.$

The time taken to travel is 2 and one half hours.

Explanation:

Consider the speed of catamaran for this trip as $S{\text{ miles/hours}}.$

The distance between the city A and city B is $144{\text{ miles}}.$

The time taken to travel is 2 and one half hours.

The time taken by the Cat can be expressed as follows,

$\begin{aligned}{\text{Time}} &= 2 + \frac{1}{2}\\&= 2 + 0.5\\&= 2.5\\\end{aligned}$

The speed can be obtained as follows,

$\begin{aligned}{\text{Speed}} &= \frac{{144}}{{2.5}}\\&= \frac{{1440}}{{25}}\\&= 57.6{\text{ miles/hour}}\\\end{aligned}$

The catamaran speed for this trip is $\boxed{57.6{\text{ miles/hour}}}.$

Learn more:

1.  Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

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.