Question

A goods train running at the rate of 36km/h passes a standing man in 8 seconds. Find the length of.The train

Answer 1

Answer:

80 m

Step-by-step explanation:

The length of the train is just the distance that the train has travelled in those 8 seconds, so we need to calculate how far the train travels in 8 seconds.

Its speed is 36 km / h.  If only we had metres per second.  This is safely handled by taking care to work with units like fractions.

To convert hours to minutes, there are 60 min / h.  (i.e. 60 minutes per hour).

To convert minutes to seconds, there are 60 sec / min.

We'll surely want the answer in metres, so to prepare, the conversion is that there are 1000 m / km.

Now

36 km / h

= (36 km / h ) / (60 min / h)

= (36 / 60) km / min

= ( 6 / 10 ) km / min

= [ (6 / 10) km / min ]  / [ 60 sec / min ]

= ( 6 / (10 x 60) ) km / sec

= ( 1 / 100 ) km / sec

= [ ( 1 / 100 ) km / sec ] x [ 1000 m / km ]

= ( 1000 / 100 ) m / sec

= 10 m / sec.

So in 8 seconds, the distance is

[ 10 m / sec ] x [ 8 sec ] = 80 m