Question

A train leaves boston and travels toward its destination at a speed of 60 mph. One hour later, an express train leaves Boston and travels toward the same destination at a speed of 80 mph. How far away is Boston is their destination if they arrive at the same time.

Answer 1

Taking into account the supplied speeds, Boston is from the destination to:

• 240 miles

Calculation of the distance between Boston and Place of Destination

To identify the distance between Boston and the destination of the trains, it must be remembered that the speed mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :

• Regular train: 60 miles
• Express train: 80 miles

According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.

Therefore, in three hours, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:

• $Speed =\frac{Distance}{Time}$

And clearing the distance:

• $Distance=Speed*Time$

• $Distance=80\frac{miles}{hour}*3hours$

• $Distance=240miles$

Therefore, the destination would be 240 miles from Boston, which would take four hours by regular train and three hours by express train.

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