Taxi Distance and Speed Problems

The video tutorial explains a problem involving two taxis, A and B. Taxi A travels at 60 miles per hour and is initially 30 miles ahead of Taxi B. The task is to determine how fast Taxi B must travel to catch up with Taxi A in 2 hours. The solution involves calculating the distance Taxi A covers in 2 hours, which is 120 miles, and adding the initial 30-mile lead, resulting in a total of 150 miles. Therefore, Taxi B must travel 150 miles in 2 hours to catch up.

If Taxi A is traveling at 16 miles per hour and is 30 miles ahead of Taxi B, what is the goal for Taxi B?

• To travel 16 miles per hour

• To catch up to Taxi A in 2 hours

• To travel 60 miles per hour

• To travel 30 miles in 2 hours

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CCSS.HSF-LE.A.1B

How far does Taxi A travel in 2 hours if it travels at 60 miles per hour?

• 120 miles

• 90 miles

• 60 miles

• 150 miles

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CCSS.8.EE.B.5

What is the total distance Taxi A travels in 2 hours?

• 90 miles

• 60 miles

• 120 miles

• 150 miles

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CCSS.7.EE.B.4A

If Taxi A is 30 miles ahead of Taxi B, how much additional distance does Taxi B need to cover to catch up?

• 30 miles

• 60 miles

• 90 miles

• 150 miles

What is the total distance Taxi B needs to travel to catch up with Taxi A?

• 120 miles

• 150 miles

• 180 miles

• 210 miles