Word Problems in Rates and Measurements

This video tutorial covers solving equivalent ratio problems through various activities. It includes problems involving car speeds, hot chocolate mixing, potato peeling rates, and reading rate comparisons. The video also reviews homework problems and concludes with a train speed comparison and a surface area calculation of a polyhedron.

If two cars start at the same time and travel at constant speeds, what key information is needed to determine how far apart they are after a certain time?

• The type of highway

• The time of day they start

• The color of the cars

• The constant speed of each car

In the hot chocolate problem, if Jada uses all 9 tablespoons of cocoa powder, how many cups of milk does she need?

• 9 cups

• 13.5 cups

• 12 cups

• 15 cups

Noah needs to peel 60 more potatoes in 1 hour and 10 minutes. If he peels 8 potatoes in 10 minutes, will he finish on time?

• Yes, he will finish with time to spare

• No, he will need more time

• No, he will finish early

• Yes, exactly on time

Who will finish their book first if they continue reading at the same rate: Lynn, Diego, or Elena?

• Elena

• They will all finish at the same time

• Diego

• Lynn

A chef needs 15 gallons of vinegar. If 2 gallons cost $3, how much will 15 gallons cost?

• $37.50

• $45

• $30

• $22.50

If a caterer needs 21 pounds of pasta and 8 pounds cost $12, how much will 21 pounds cost?

• $36.00

• $28.50

• $25.50

• $31.50

Lynn reads 20 pages in 35 minutes. Can she finish a 47-page book in under an hour?

• Yes, she can finish in 50 minutes

• No, she needs more than an hour

• Yes, she can finish in 55 minutes

• No, she needs exactly an hour

Diego types 140 words in 4 minutes. How many words can he type in 15 minutes?

• 600 words

• 550 words

• 500 words

• 525 words

Which train is faster: one traveling 30 miles in 1/3 hour or one traveling 20 miles in 1/2 hour?

• Both trains are equally fast

• The second train

• It cannot be determined

• The first train

What is the surface area of a polyhedron with a base of 12 by 4 and two triangles with a base of 12 and height of 8?

• 224 square inches

• 200 square inches

• 250 square inches

• 210 square inches