Train A got from one city to another 45min faster than train B. Train's A speed is 48km/h, train's B speed is 36km/h. What is the distance between the cities?

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Answer 1 · 2016-03-23T02:30:06

I am just writing to clarify what the last contributor had to say.

In this problem, we should work with the formula #S = d/t#, where s is speed, d is distance, and t is time.

We can rearrange the formula to #S xx t = d#. Assuming the time it takes train A is x (hours).

#48 xx x = 36 xx (x + 3/4)#

#48x = 36x + 27#

#12x = 27#

#x = 9/4#

So, it takes train A #9/4# hours to travel between the two cities.

Therefore, we can plug in our values into the equation to solve for d: #48 = d/(9/4)#

#108 = d#

Thus, the distance between the two cities is of 108 kilometres.

Hopefully this helps!