An aeroplane flies 200km with a uniform speed of 300km/h and then another 200km with a uniform speed of 240km/h. calculate the average speed of the aeroplane.
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Answer:
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Answer:
An aeroplane flies 200km .
a uniform speed of 300km/h .
then another 200km .
a uniform speed of 240km/h.
\begin{gathered}\large\underline{\underline{\mathfrak{\color{blue}{To \: Find :-}}}} \\\end{gathered}
ToFind:−
the average speed of the aeroplane.
\begin{gathered}\large\underline{\underline{\mathfrak{\color{red}{Solution :-}}}} \\\end{gathered}
Solution:−
total distance = 200 + 200
total distance = 400 km
time taken for first 200 km
\begin{gathered}\sf \to \: \frac{200}{300} \\\\ \sf \to \: \frac{2}{3}\end{gathered}
→
300
200
→
3
2
time taken for second 200 km
\begin{gathered}\sf \to \: \frac{200}{240} \\\\ \sf \to \: \frac{5}{6}\end{gathered}
→
240
200
→
6
5
total time
\begin{gathered}\sf \to \: \frac{2}{3}+\: \frac{5}{6} \\\\ \sf \to \: \frac{9}{6}\\\\\sf\to 1.5\end{gathered}
→
3
2
+
6
5
→
6
9
→1.5
\begin{gathered}\sf average \: speed \: = \frac{total \: distance}{total \: time} \\ \\\end{gathered}
averagespeed=
totaltime
totaldistance
\begin{gathered}\sf \to \: \frac{400}{1.5} \\ \\ \sf \to \: \frac{800}{3} \\ \\ \sf \to \red{ 266.67kmph} \:\end{gathered}
→
1.5
400
→
3
800
→266.67kmph