SOLUTION: Sophie travels to work by diesel train The diesel train takes 81 minutes to do the journey. Sophie sees an advert for a new high speed train The advert says it will reduce her

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Question 1020781: Sophie travels to work by diesel train
The diesel train takes 81 minutes to do the journey.
Sophie sees an advert for a new high speed train
The advert says it will reduce her journey time by at least 32 minutes
The speed of the high speed train is 225kph
The speed of the diesel train is 125kph
Sophie uses this rule to check the advert
HT=dt
H= speed of the high speed train in Kph
D= speed of the diesel train in kph
T=time the journey takes in minutes using the High speed train
T=time the journey takes in minutes using the diesel train
Is the advert correct? why do you think so.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For both trains, +d+=+r%2At+, and the
distance is the same for both trains
so, r[1] x t[1] = r[2] x t[2]
+125%2A%28+81%2F60+%29+=+225%2At+
Where +t+ is the time in hrs for the
high speed train to make the trip
+168.75+=+225t+
+t+=+.75+
The time in hrs for the high speed train is
+.75+ hrs, or +.75%2A60+=+45+ min
+81+-+45+=+36+ min faster than diesel train
So, the time is reduced by +4+ min
more than +32+ min