## a train covered 120 km at a speed for 20 km an hour and then covered the remaining 180km at a speed of 45 km an hour. find its average speed

Question

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## Answers ( )

Answer:ΔΊ

Step-by-step explanation:otalDistance=120+180=300km

\:

\begin{gathered}\small\tt{Time\: Taken\:For\:the\:first\:120\:km}\\{\small\tt{\:=\:{\cancel\frac{120}{20}}=\:6\:hrs}}\end{gathered}

TimeTakenForthefirst120km

=

20

120

=6hrs

\:

\begin{gathered}\small\tt{Time\: Taken\:For\:the\:next\:180\:km}\\{\small\tt{\:=\:{\cancel\frac{180}{45}}=\:4\:hrs}}\end{gathered}

TimeTakenForthenext180km

=

45

180

=4hrs

\:

\small\tt{Total\:Time\:Taken\:=\:6+4\:=\:10\:hrs}TotalTimeTaken=6+4=10hrs

\:

\small\tt\purple{\underline{\boxed{Average\:Speed=\:{\frac{Total\:Distance\: Travelled}{Total\:Time\:Taken}}}}}

AverageSpeed=

TotalTimeTaken

TotalDistanceTravelled

\:

\small\tt{Average\:Speed\:=\:{\cancel\frac{300}{10}}}AverageSpeed=

10

300

\:

\small\tt\red{\underline{\boxed{Average\:Speed\:=\:30\:km/hr}}}

AverageSpeed=30km/hr