Physics, asked by bhumikajain5, 3 months ago

A train travels a distance at a speed of 40 km/h and returns at the speed of 60 km/h. What is the average speed of the train?

Answers

Answered by amitnrw
2

Given :  A train travels a distance at a speed of 40 km/h and returns at the speed of 60 km/h.

To Find :  the average speed of the train

Solution:

Assume that distance is  120x  km

Time = Distance / Speed

Time taken in going = 120x/40  = 3x hr

Time taken in return  = 120x/60 = 2x hr

Total Time taken = 3x + 2x = 5x hr

Total distance = 120x + 120x = 240x  km

Average Speed = 240x/5x  = 48 km/hr

the average speed of the train = 48 km/hr

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Answered by nirman95
2

Given:

A train travels a distance at a speed of 40 km/h and returns at the speed of 60 km/h.

To find:

Average speed of train?

Calculation:

Average speed is defined as the ratio of total distance to the total time taken.

 \rm \: v \:  avg. =  \dfrac{total \: distance}{total \: time}

 \rm \implies \: v \:  avg. =  \dfrac{d + d}{ \dfrac{d}{40}  +  \dfrac{d}{60} }

 \rm \implies \: v \:  avg. =  \dfrac{2d}{ \dfrac{d}{40}  +  \dfrac{d}{60} }

 \rm \implies \: v \:  avg. =  \dfrac{2}{ \dfrac{1}{40}  +  \dfrac{1}{60} }

 \rm \implies \: v \:  avg. =  \dfrac{2}{ \dfrac{3 + 2}{120}}

 \rm \implies \: v \:  avg. =  \dfrac{2}{ \dfrac{5}{120}}

 \rm \implies \: v \:  avg. = 48 \: kmph

So, average speed is 48 km/hr.

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