1. you are 10 meters away from home when you realize you are late to catch the bus to school, which leaves…

1. you are 10 meters away from home when you realize you are late to catch the bus to school, which leaves in 2 minutes. you run to the bus stop at 4 m/s and make it right before the bus leaves. a 10 - minute bus ride later, you arrive at school. if the bus traveled at 15 m/s, how far away is your school?

1. you are 10 meters away from home when you realize you are late to catch the bus to school, which leaves in 2 minutes. you run to the bus stop at 4 m/s and make it right before the bus leaves. a 10 - minute bus ride later, you arrive at school. if the bus traveled at 15 m/s, how far away is your school?

Answer

Explanation:

Step1: Calculate running - distance

The distance you run is calculated using the formula $d = vt$. You run at a speed $v_1 = 4$ m/s for a time $t_1=2\times60 = 120$ s. So the running - distance $d_1=v_1t_1$. $d_1 = 4\times120=480$ m

Step2: Calculate bus - travel distance

The bus travels at a speed $v_2 = 15$ m/s for a time $t_2 = 10\times60=600$ s. Using the formula $d = vt$, the bus - travel distance $d_2=v_2t_2$. $d_2=15\times600 = 9000$ m

Step3: Calculate total distance to school

The initial distance from home is 10 m. The total distance $D$ from home to school is the sum of the initial distance, the running - distance, and the bus - travel distance. $D=10 + 480+9000=9490$ m

Answer:

9490 m