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belka
2 months ago
13

An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5

km/h faster what was the speed of the container ship? (answer is a rational expression)
Mathematics
1 answer:
tester [12.3K]2 months ago
6 0
10 km/hr. The aircraft carrier and the container ship each took 30 hours for their respective journeys. Dividing their distances by time indicates that the aircraft carrier maintained a speed of 15 km/h, while the container ship moved at 10 km/h.
You might be interested in
A ship sails at 15 miles per hour, while it can motor at 5 miles per hour. It sails for 6 hours to its destination but has to mo
tester [12383]

Greetings!

The conclusion is:

The return trip will take 18 hours.

Reasoning:

To determine the duration of the return journey, we must calculate the distance from the destination back to the starting point.

The ship travels at 15 miles per hour (mph) over 6 hours, yielding a distance of:

x=x_o+v*t\\\\x=0+15mph*6hours=90miles

The distance from the starting point to the destination is 90 miles, and for the return trip, the motor operates at a speed of 5 mph. Thus, computing the time taken gives us:

Distance=v*t\\\\t=\frac{Distance}{v}=\frac{90miles}{5mph}=18hours

Consequently, the return trip will take 18 hours to complete.

Have a nice day!

5 0
2 months ago
.580 80 repeating as fraction
Svet_ta [12734]
To start, we will shift the non-repeating segment of the decimal to the left side by dividing by a power of 10.

Then we will assign a variable to represent the value and also shift the repeating segment to the left.

Essentially, the concept here is that we can denote the repeating portion with a variable, let's say "x", and move forward with the calculation;

\bf 0.580\overline{80}\implies \boxed{\cfrac{5.80\overline{80}}{10}}\qquad \textit{now, let's say }x= 5.80\overline{80}\\\\
-------------------------------

\bf thus\qquad \begin{array}{llll}
100\cdot x&=&580.80\overline{80}\\
&&575+5.80\overline{80}\\
&&575+x
\end{array}\qquad \implies 100x=575+x
\\\\\\
99x=575\implies x=\cfrac{575}{99}\qquad therefore\qquad \boxed{\cfrac{5.80\overline{80}}{10}}\implies \cfrac{\quad \frac{575}{99}\quad }{10}
\\\\\\
\cfrac{\quad \frac{575}{99}\quad }{\frac{10}{1}}\implies \cfrac{575}{99}\cdot \cfrac{1}{10}\implies \cfrac{575}{990}\implies \stackrel{simplified}{\cfrac{115}{198}}

you can verify that using your calculator.
4 0
2 months ago
Read 2 more answers
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