A train travels 15km at a uniform speed of 30km/h the next 75km at a uniform speed of 50km/h &the last 10km at a uniform speed of 20km/h. Calculate the average speed of the entire journey.
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A train travels a distance of 15km at a uniform speed of 30km/h.
Time taken to cover the distance of 15 km =distance/speed=15/30=1/2=0.5hour
It travels the next 75km at a uniform speed of 50km/h.
Time taken to cover the distance of 75km =distance/speed=75/50=3/2=1.5hour
It travels last 10km at a uniform speed of 20km/h.
Time taken to cover the distance of 10km =distance/speed=10/20=1/2=0.5hour
Total distance covered=15km+75km+10km
=100km
Total time taken=0.5h+1.5h+0.5h
=2.5h
Average speed =
Total distance covered/Total time taken=
100/2.5=1000/25=40km/h
Therefore, average speed of the train is 40km/h.
Time taken to cover the distance of 15 km =distance/speed=15/30=1/2=0.5hour
It travels the next 75km at a uniform speed of 50km/h.
Time taken to cover the distance of 75km =distance/speed=75/50=3/2=1.5hour
It travels last 10km at a uniform speed of 20km/h.
Time taken to cover the distance of 10km =distance/speed=10/20=1/2=0.5hour
Total distance covered=15km+75km+10km
=100km
Total time taken=0.5h+1.5h+0.5h
=2.5h
Average speed =
Total distance covered/Total time taken=
100/2.5=1000/25=40km/h
Therefore, average speed of the train is 40km/h.
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