Cyclist and Train Problem Solving

The video tutorial presents a word problem involving a cyclist and a train. The cyclist travels alongside a railroad track at 6 km/h and usually arrives at a crossing simultaneously with a train. One day, she is 50 minutes late and is overtaken by the train 6 km from the crossing. The tutorial explains how to calculate the time it takes for the train to reach the crossing after passing the cyclist. The solution involves understanding the time and distance relationships and concludes that the train takes 10 minutes to reach the crossing from the point it overtakes the cyclist.

What is the speed of the cyclist as mentioned in the problem?

• 5 kilometers per hour

• 4 kilometers per hour

• 7 kilometers per hour

• 6 kilometers per hour

Tags

CCSS.8.EE.C.7B

On a normal day, what is the time taken by the cyclist to reach the crossing?

• b hours

• c hours

• d hours

• a hours

How late was the cyclist on the day she was overtaken by the train?

• 50 minutes

• 30 minutes

• 40 minutes

• 60 minutes

Tags

CCSS.8.EE.B.5

What is the distance from the crossing where the train overtakes the cyclist?

• 7 kilometers

• 5 kilometers

• 6 kilometers

• 4 kilometers

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

How is 50 minutes expressed in hours?

• 5/6 hours

• 4/5 hours

• 3/4 hours

• 2/3 hours

Tags

CCSS.6.RP.A.3B

How long does it take the cyclist to travel 6 kilometers at her speed?

• 0.5 hours

• 1 hour

• 1.5 hours

• 2 hours

What is the time difference between the train passing the cyclist and reaching the crossing?

• 10 minutes

• 5 minutes

• 15 minutes

• 20 minutes

Tags

CCSS.3.MD.A.1

What is the total time taken by the cyclist on the day she was late?

• a + 0.5 hours

• a hours

• a + 1 hours

• a - 1 hours

Tags

CCSS.7.EE.B.4A

What is the final answer to the problem regarding the time taken by the train to reach the crossing?

• 20 minutes

• 5 minutes

• 10 minutes

• 15 minutes

What additional information can be derived from the problem?

• The speed of the cyclist

• The speed of the train

• The distance to the crossing

• The time of day