Answers

1. Answer: ~3.8 mph (see below)

   Explanation:

   What we know:

   • We need to find the speed of the train in miles per hour (mph)
   • The train is traveling 1.1 miles per 1045 seconds
   • There are 3600 seconds in 1 hour

   How to solve:

   We need to find what number when multiplied with 1045, will equal 3600. The unknown will be a variable x, and the seconds will be represented with s. Then, we need to multiply this number with the value of the miles (m) to find how many miles are traveled in that hour (h).

   Process:

   Finding X (in seconds)

   Set up equation                                                       H = sx

   Substitute                                                           3600 = 1045x

   Divide                                                                 /1045   /1045

   Solution                                                 3.44497608 = x

   Finding Miles

   Set up equation                                                 mph = x(m/s)

   Substitute                                                           mph = 3.44497608(1.1/1045)

   Simplify                                                               mph = ~3.79/3600

   Convert                                                               mph = ~3.8 miles per hour

   Solution: ~3.8 mph (3.78947369 miles per 3600 seconds)

   Reply