The speed of the catamaran is [tex]\boxed{58.8{\text{ miles/hour}}}.[/tex]
Further explanation:
The formula for the speed can be expressed as follows,
[tex]\boxed{{\text{S}} = \frac{{\text{D}}}{{\text{T}}}}[/tex]
Here, [tex]{\text{S}}[/tex] represents the speed of the object, [tex]{\text{D}}[/tex] is the distance covered and [tex]{\text{T}}[/tex] represents the time taken to cover the distance.
Given:
The total covered distance by the catamaran is [tex]147{\text{ miles}}.[/tex]
The time taken by the catamaran is two and one half hours.
Explanation:
Let us assume that speed of catamaran as [tex]x{\text{ miles/hours}}.[/tex]
The distance between the cities is [tex]147{\text{ miles}}.[/tex]
The time taken by catamaran to cover [tex]147{\text{ miles}}[/tex] is two and one half.
The time taken by the Catamaran can is two and one half.
[tex]\begin{aligned}{\text{Time}} &= 2 + \frac{1}{2}\\&= 2 + 0.5\\&= 2.5\\\end{aligned}[/tex]
The speed of the catamaran can be calculated as follows,
[tex]\begin{aligned}{\text{Speed}} &= \frac{{147}}{{2.5}}\\&= \frac{{1470}}{{25}}\\&= 58.8{\text{ miles/hour}}\\\end{aligned}[/tex]
The speed of the catamaran is [tex]\boxed{58.8{\text{ miles/hour}}}.[/tex]
Learn more:
- Learn more about unit conversion into smaller unitshttps://brainly.com/question/4837736
- Learn more about non-collinear or collinear pointshttps://brainly.com/question/4165000
- Learn more about binomial and trinomial expressionshttps://brainly.com/question/1394854
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Speed and Distance
Keywords: high-speed, cat, catamaran, auto ferry, operates, 147 miles, trip, 2 hours, one half hours, catamaran, speed, distance, time, trip, speed for trip.
