Question

In 2016, a maglev train in Japan traveled 1.1 miles in 1045 seconds.

Answer 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)