A group of students went on a trip. The team traveled at a speed of 4 kilometers per hour. A teacher at the end of the team wanted to contact the opponent teacher. She sent a student to travel at a sp

A group of students went on a trip. The team traveled at a speed of 4 kilometers per hour. A teacher at the end of the team wanted to contact the opponent teacher. She sent a student to travel at a speed of 5 kilometers per hour.

Solution: Assume the length of the team is x kilometers

Analysis:

The time from the end of the team to the front is: x/(5-4)

The time for returning from the front to the end of the queue is: x/(5+4)

Equivalent relationship: the sum of the round-trip times is equal to 10 minutes

x/(4+5 )+x/(5-4)=10/60

x/9+x=10/60

10/9*x=1/6

< p>x=1/6*9/10

x=0.15

Answer: The length of the team is 0.15 kilometers (150 meters)