A train travelled at an average speed of 150kph. How long did it take to travel 100km.

Question

I'm studying for my finals and when I looked through my maths book, I came across this question which I couldn't figure out. PLEASE HELP ME ASAP

Answer 1

Zainab,

Usually I like to try to write everything down to help visualize the problem better.

v (velocity/speed) = 150 kph

t = time

d (distance) = 100km

d = vt

100 = 150t

100/150 = t

2/3 = t

Answer: 2/3 of an hour = 40 minutes

Or here is another way to approach the problem

100 / t = 100km per t hours

150kph = 150 / 1 = 150kph can be translated into 150 km divide by 1 hour

Since we know that both equations or fractions above must be equal we can write the following equation.

100 / t = 150 / 1

Now we cross multiple to solve for t

100*1 = t * 150

100 = 150 t (now divide both sides by 150 to isolate the variable t)

100/150 = t

2/3 = t

t = 2/3 hour or 40 minutes

I hope this helps.

Please feel free to reach out to me to help clarify.

Thanks,

Richmond