Arrival Time Challenge: Museum Visit
How long does it take for 150 students to arrive at a museum located 90 km away from their school?
Is there a more efficient mode of transportation for the students to reach the museum?
What are the factors to consider in determining the minimum time needed for all students to arrive at the museum?
The minimum time needed for all students to arrive at the museum, either by bus or by walking, is 9 hours.
The factors to consider in determining the minimum time needed include the capacity and speed of the bus, as well as the walking speed of the students.
Imagine a group of 150 eager students embarking on a journey to visit a museum located 90 km away from their school. With only 1 bus available, capable of carrying 50 students at a time and traveling at a speed of 70 km/h, the challenge of coordinating their arrival becomes apparent.
Upon calculating the time it would take for the bus to make three trips to transport all students to the museum, a total of 3.86 hours is determined. However, considering the alternative scenario where the students walk to the museum at a speed of 10 km/h, it would take them a total of 9 hours to reach their destination.
Therefore, the minimum time required for all students to arrive at the museum is 9 hours, as walking proves to be a more time-consuming option compared to utilizing the bus. Factors such as transportation capacity, speed, and distance play a crucial role in determining the most efficient mode of travel for large groups of students.