Question

activity 2.1: a train is traveling at...
a train is traveling at a constant speed and goes 7.5 kilometers in 6 minutes. at that rate:

1. how far does the train go in 1 minute?
2. how far does the train go in 100 minutes?

\freight train photo\ by hpgruesen via pixabay. public domain.
activity 2.2: comparing running speeds
lin ran $2\frac{3}{4}$ miles in $\frac{2}{5}$ of an hour. noah ran $8\frac{2}{3}$ miles in $\frac{4}{3}$ of an hour.

1. pick one of the questions that was displayed, but don’t tell anyone which question you picked. find the answer to the question.
2. when you and your partner are both done, share the answer you got (do not share the question) and ask your partner to guess which question you answered. if your partner can’t guess, explain the process you used to answer the question.
3. switch with your partner and take a turn guessing the question that your partner answered.

Explanation:

Activity 2.1 Question 1 Step1: Calculate distance per minute

$\frac{7.5}{6} = 1.25$

Activity 2.1 Question 2 Step1: Use per-minute distance for 100 minutes

$1.25 \times 100 = 125$

Activity 2.2 Example Step1: Convert Lin's mixed number to improper fraction

$2\frac{3}{4} = \frac{11}{4}$

Activity 2.2 Example Step2: Calculate Lin's speed

$\frac{11}{4} \div \frac{2}{5} = \frac{11}{4} \times \frac{5}{2} = \frac{55}{8} = 6.875$

Answer:

1. 1.25 kilometers
2. 125 kilometers
3. (Example: Lin's speed is 6.875 miles per hour)