The express train from Addington to Summit travels the 18 - mile route at an average speed of 72 mi./hr., stopping only in Summit. The local train stops for 1.5 minutes at each of the 6 stops between these two locations, and it averages 54 mi./hr. while it is in motion. How many minutes more does the local train take for this trip than the express train?

Question

Mathematics

Alonzo Snyder

15 July, 08:40

The express train from Addington to Summit travels the 18 - mile route at an average speed of 72 mi./hr., stopping only in Summit. The local train stops for 1.5 minutes at each of the 6 stops between these two locations, and it averages 54 mi./hr. while it is in motion. How many minutes more does the local train take for this trip than the express train?

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Answers (1)

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Singleton · Answer 1

Express train travel time:

72x = 18

x = 18/72 = 1/4, or 0.25 hours. A quarter of an hour is 15 minutes

x = 15 minutes

Local Train Travel time:

54x = 18

x = 18/54 = 1/3 hour, or 20 minutes

Adding the stops: 1.5 * 6 = 9 additional minutes

Total Travel time: 20 + 9 = 29

Local train takes 29 - 15 = 14 minutes longer.

Answer is 14 minutes