Question

The Calef family likes to paddle along the Susquehanna River.
a. They paddled the same distance each day over the course of 3 days, traveling a total of 14 miles. How many miles did they travel each day? Show your thinking in a tape diagram.
b. If the Calefs went half their daily distance each day but extended their trip to twice as many days, how far would they travel?

Answer 1

Answers:

a. $\frac{14}{3}=4.667$ miles/day

b. 14 miles

Explanation:

Part a:

We are given that they paddled a total distance of 14 miles for 3 days. To get the distance paddled each day, we will divide the total paddled distance by the number of days

This is done as follows:

Distance paddled each day = $\frac{14}{3}=4.667$ miles/day

Part b:

Now, we are given that:

i. They went half their daily distance:

Daily distance = $\frac{1}{2}*\frac{14}{3}=\frac{7}{3}$ miles/day

ii. They extended the trip twice as many days

Number of days = 2 × 3 = 6 days

The total distance paddled will be equivalent to the product of the distance paddled each day and the total number of days

This means that:

Total distance = $\frac{7}{3}*6=14$ miles

Hope this helps :)