A word problem on speed and distance

Topic:-Speed and distance

We can find the distance in between two end points ,if we have the speed of a vehicle .

Let's see an example word problem ,which explains it in more detail...

Question:-

It takes a passenger train two hours less time than it takes a freight train to make the trip from central city to clear crek .The passenger train averages 96 km/h while the freight train average 64 km/h.How far is it from central city to clear creek?

Answer:-

Let's assume that

Passenger train : x

Freight train : x+2 hrs

distance=speed * Time

Distance = 96 * x -->Passenger


Distance = 64(x+2)---->freight

Both the distances are same

So 96*x=64(x+2)

96x=64x+128

96x-64x=128

32x=128

x=4 hrs

So the distance will be 384 km


For more help on this ,You can reply me.