Question

a train covers 150 km in 3hours, next 125 km in 2 hours and last 3 hours 30 min find the average speed give step by step explanation ​

Answer 1

Step-by-step explanation:

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Answer 2

⇝Appropriate Question :

A train covers 150 km in 3hours, next 125 km in 2 hours and last 3 hours 30 min find the average speed .

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⇝Given :-

• ➵ A train covers 150km in 3 hours.
• ➵ Than it covers 125km in next 2 hours.
• ➵ Than it covers 180km in 3 hours 30 min.

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⇝To Find :-

• ➵ Find the average speed.

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⇝Solution :-

❒ Formula for Average Speed :

${\large{\red{\bigstar}}{\underline{\boxed{\green{\bf{Aver. Speed = \frac{total \: distance}{total \: time} }}}}}}{\red{\bigstar}}$

❒ Cases

✧ First Case :

• ➻ Distance = 150km
• ➻ Time = 3 hours

✧ Second Case :

• ➻ Distance = 125km
• ➻ Time = 2 hours

✧ Third Case :

• ➻ Distance = 180km
• ➻ Time = 3 hours 30 min

❒ Average Speed :

${\large{\red{\twoheadrightarrow}}{\bf{Aver. \: Speed = \frac{total \: distance}{total \: time} }}}$

${\large{\red{\twoheadrightarrow}}{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{150 + 125 + 180}{3 + 2 + 3.5} }}}$

${\large{\red{\twoheadrightarrow}}{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{455}{8.5} }}}$

${\large{\red{\twoheadrightarrow}}{\bf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\cancel\frac{455}{8.5} }}}}$

${\large{\blue{:{\longmapsto{\underline{\overline{\pink{\boxed{\tt{ 53.52 \: km/h}}}}}}}}}}$

❒ Hence :

➵ Average Speed of train is 53.52 km/h.

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