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

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.

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Natalia 2 weeks 2021-10-05T06:55:42+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-05T06:56:58+00:00

    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

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