You and your friend covered a total distance of 72 kilometers in a bicycle relay race. The tape diagram shows how the distance was covered in 9 equal parts.

Question

Item 8

Question 1

You and your friend covered a total distance of 72 kilometers in a bicycle relay race. The tape diagram shows how the distance was covered in 9 equal parts.

 

What is the ratio of the kilometers you rode to the kilometers your friend rode? Write the ratio in simplest form.

 to 

Question 2

How many kilometers did each of you ride? 

You rode  kilometers.

Your friend rode  kilometers. 

Answer 1

Question 1

Given: The total distance was 72 km and it was covered in 9 equal parts.

The diagram shows that you rode 4 rectangles and your friend rode 5 rectangles.

So the ratio of km you rode to km your friend rode = 4 to 5 (also can be written as 4/5 or 4:5). The ratio (fraction) cannot be reduced any further.

Question 2

Since the question states that the rectangles represent equal parts, divide the total 72 km into 9 equal parts, which is 72/9 = 8.

So each part, or rectangle, represents 8 km.

You rode 4 rectangles x 8 km = 32. Your friend rode 5 rectangles x 8 km = 40.