Question

Suppose you have been on the train for at least 5 hours. A passenger

says that the trip to Fairbanks takes 10 hours. Write an inequality
that describes in how many more hours h the train will reach
Fairbanks.

Answer 1

`h \leq 5`

Explanation:

Time already spent on the train is at least 5 hours

Since the trip to Fairbanks take 10 hours, we have that, the sum of the number of hours left, h and the time already spent will be equal to 10.

`t+h=10\\$Since the time for which the passenger has been on the train \geq 5\\5+h \leq 10\\h \leq 10-5\\$The inequality that describes in how many more hours, h the train will reach Fairbanks, therefore, is:\\h \leq 5`