Tuesday, March 29, 2016

Problem of the Week

Hi guys, today I'm back with another problem of the week. This one is titled "Tunnel Vision"



The first thing we need to do is convert the meters into km, because the question asks for km/h.
Train's length: 1000m=1km
Length of tunnel: 3000m=3km

Now the train's length is 1 km and the tunnels length is 3km

Now we have to subtract the train's length from the tunnel's length to determine how much kilometers there are still left to travel. 
3km-1km= 2km 
The train still has 2 km left to travel. 

To find how long it takes the train to travel 1 km we must divide 30 by 2
30/2=15 which means that it take 15 seconds to travel 1 km.

Now we need to find the km/h
There are 3600 seconds in one hour, so we need to divide 3600/15 and multiply the quotient by 1km
3600/15=240
240*1km=240 km

The train travels 240 km/3600 s or 240 km/h

Going back to the original question, which was "Determine the speed of the train, in kilometres per hour.The train travels 240 km/h

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