2. A train travels a distance of 1000 km 400 m in 15 1/2hrs 30 min. What is the average speed of train.​

1 thought on “2. A train travels a distance of 1000 km 400 m in 15 1/2hrs 30 min. What is the average speed of train.​”

1. Answer:

   62.525 km/h

   Step-by-step explanation:

   Given:

   • Distance travelled by the train = 1000 km 400 m
   • Time taken to travel the required distance = 15 1/2 h 30 min

   To find:

   • The average speed of the train.

   Solution:

   While doing calculations, the nature of the units should be same, else our answer will be wrong.

   Steps…

   • Distance = 1000 km 400 m
   • Distance = ( 1000 + 400/1000 ) km ( because 1 m = 1/1000 km )
   • Distance = ( 1000 + 4/10 ) km
   • Distance = ( 1000 + 0.4 ) km
   • Distance = 1000.4 km

   • Time = 15 1/2 h 30 min
   • Time = 31/2 h 30 min
   • Time = ( 31/2 + 30/60 )h ( because 1 min = 1/60 h )
   • Time = ( 31/2 + 1/2 )h
   • Time = ( (31 + 1)/2 )h
   • Time = ( 32/2 )h
   • Time = 16h

   Finally,

   • Average speed = Total distance travelled/Total time taken
   • Average speed = 1000.4/16 km/h
   • Average speed = 62.525 km/h

   ∴ The average speed of the train = 62.525 km/h

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