Distance, Speed, and Time Problems

The video tutorial covers three problems involving distance, rate, and time calculations. First, it explains how to determine the time it takes for Lauren and Ricky to meet when driving towards each other at different speeds. Next, it calculates Arnold's average speed for a trip with varying speeds. Finally, it solves for the time Luke takes to commute to work, given his return trip speed is faster. Each problem is broken down step-by-step, using the formula distance equals rate times time.

Lauren and Ricky are driving towards each other at speeds of 40 mph and 50 mph, respectively. If they are 360 miles apart, how long will it take for them to meet?

• 3 hours

• 5 hours

• 6 hours

• 4 hours

What is the combined speed of Lauren and Ricky as they drive towards each other?

• 80 mph

• 90 mph

• 100 mph

• 110 mph

Arnold drives for 3 hours at 60 mph and 5 hours at 70 mph. What is the total distance he covers?

• 550 miles

• 530 miles

• 510 miles

• 480 miles

What is Arnold's average speed for his entire trip?

• 64.5 mph

• 66.25 mph

• 62.5 mph

• 68.5 mph

If Arnold spends more time driving at a higher speed, where should his average speed fall?

• Exactly 70 mph

• Closer to 70 mph

• Exactly 65 mph

• Closer to 60 mph

Luke travels to work at 20 mph. If his return trip takes 2 hours at 30 mph, what is the distance between his home and work?

• 50 miles

• 40 miles

• 60 miles

• 70 miles

How long does it take Luke to drive to work?

• 3.5 hours

• 2 hours

• 2.5 hours

• 3 hours

What is the speed of Luke's return trip if it is 10 mph faster than his morning commute?

• 40 mph

• 35 mph

• 30 mph

• 25 mph

If the distance from Luke's home to work is 60 miles, what is the time taken for his return trip?

• 1 hour

• 2.5 hours

• 2 hours

• 1.5 hours

What formula is used to calculate the distance in these problems?

• d = r + t

• d = r - t

• d = r / t

• d = r * t