Distance, Rate, and Ratio Problems

The video covers lesson 7.2 from the 6th grade Go Math textbook, focusing on solving various math problems. It includes calculating map scales, ingredient ratios for a punch recipe, airplane seating arrangements, map scales for a road trip, ribbon production rates, bicycle ride rates, caterpillar movement rates, and graphing boat travel. Each section involves practical applications of ratios, unit rates, and proportions, providing students with a comprehensive understanding of these mathematical concepts.

If the actual distance between two cities is 72 miles and it measures 6 inches on a map, what is the scale of the map?

• 1 inch = 15 miles

• 1 inch = 12 miles

• 1 inch = 10 miles

• 1 inch = 18 miles

How far is a location that is 2 inches away on the map if the scale is 1 inch = 12 miles?

• 12 miles

• 18 miles

• 24 miles

• 30 miles

To make 108 cups of punch, how many cups of pineapple juice are needed if the original recipe calls for 4 cups in 24 cups total?

• 16 cups

• 12 cups

• 20 cups

• 18 cups

If a punch recipe requires 12 cups of seltzer for 24 cups total, how many cups of seltzer are needed for 108 cups total?

• 36 cups

• 48 cups

• 54 cups

• 60 cups

How many seats are on the left side of an airplane if there are 150 seats total and the ratio is 2 left to 5 total?

• 70 seats

• 60 seats

• 50 seats

• 80 seats

On Crystal's map, if the scale is 1 inch = 18 miles, how far apart are two locations that are 90 miles apart in reality?

• 4 inches

• 5 inches

• 6 inches

• 7 inches

What is the unit rate in miles per minute for a cyclist who travels 8 miles in 80 minutes?

• 0.05 miles/min

• 0.1 miles/min

• 0.2 miles/min

• 0.15 miles/min

If a machine produces 27 inches of ribbon every 3 minutes, how many feet of ribbon can it produce in one hour?

• 54 feet

• 45 feet

• 60 feet

• 72 feet

How long does it take a boat to travel 10 miles if it travels 2.5 miles every 20 minutes?

• 60 minutes

• 80 minutes

• 100 minutes

• 120 minutes

If a boat travels at a constant speed and covers 2.5 miles in 20 minutes, how far will it travel in 100 minutes?

• 10 miles

• 12.5 miles

• 15 miles

• 20 miles