Question

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

Answer 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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