Mastering Inverse Proportions: Real-World Challenges

If 4 workers can complete a task in 12 hours, how long will it take 6 workers to complete the same task?

• 6 hours

• 12 hours

• 10 hours

• 8 hours

A car travels at a speed of 60 km/h. How long will it take to travel 180 km if the speed is increased to 90 km/h?

• 2 hours

• 4 hours

• 1 hour

• 3 hours

If the time taken to fill a tank is inversely proportional to the number of pipes used, and 3 pipes can fill it in 15 hours, how long will it take 5 pipes?

• 18 hours

• 9 hours

• 6 hours

• 12 hours

A recipe requires 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?

• 5 cups

• 3 cups

• 6 cups

• 4 cups

If the number of pages read is inversely proportional to the time taken, and a student reads 30 pages in 2 hours, how many pages can they read in 1 hour?

• 60 pages

• 15 pages

• 45 pages

• 30 pages

A factory produces 100 toys in 5 hours. If the production rate is doubled, how many toys can be produced in the same time?

• 200 toys

• 150 toys

• 250 toys

• 100 toys

If 10 people can complete a project in 20 days, how many days will it take for 5 people to complete the same project?

• 50 days

• 30 days

• 25 days

• 40 days

A car can travel 300 miles on 10 gallons of gas. How many gallons are needed to travel 600 miles?

• 20 gallons

• 15 gallons

• 30 gallons

• 25 gallons

If the number of hours worked is inversely proportional to the number of workers, and 8 workers can finish a job in 10 hours, how long will it take 4 workers?

• 30 hours

• 25 hours

• 20 hours

• 15 hours

A gardener can plant 50 trees in 5 hours. How many trees can be planted in 2 hours if the planting rate is increased?

• 50 trees

• 30 trees

• 25 trees

• 40 trees