A train travels a distance of 1000 km in 12 hours 30 minutes. What is the average speed of the train? Question A train travels a distance of 1000 km in 12 hours 30 minutes. What is the average speed of the train? in progress 0 Math Ruby 2 months 2021-08-13T14:22:59+00:00 2021-08-13T14:22:59+00:00 1 Answer 0 views 0

## Answers ( )

Answer:The average speed of the train is 62.525.

Step-by-step explanation:## Given : A train travels a distance of 1000 km 400 m in 31:2 hours 30 minutes.

## To find : What is the average speed of the train?

## Solution :

A train travels a distance of 1000 km 400 m.

Converting into km,

1 km = 1000 m

1 m = 0.001 km

400 m = 400\times \frac{1}{1000}=0.4400×

1000

1

=0.4 km

Total distance covered is 1000+0.4=1000.4 km

Time taken by train is 31:2 hours 30 minutes.

i.e. \frac{31}{2} hr +30 min

2

31

hr+30min

\frac{31}{2} hr +\frac{1}{2} hr

2

31

hr+

2

1

hr

\frac{32}{2} hr=16 hours

2

32

hr=16hours

Total time taken by train is 16 hours.

The speed of the train is

S=\frac{D}{T}S=

T

D

S=\frac{1000.4}{16}S=

16

1000.4

S=62.525km/hrS=62.525km/hr

Therefore, The average speed of the train is 62.525 km/hr.