Two students are 1 foot apart on a straight path. Each student starts walking away from the other at the same moment. The first student walks at a rate of 3 feet per second, and the second student’s rate is 1.5 times the first student’s rate. If x represents seconds, which equation can be used to determine how long it will take for the students to be a total of 28 feet apart?
Question
Answer:
3x + 4.5x + 1 = 28
3.6 seconds
Step-by-step explanation:
Initial distance apart = 1 foot
Student A:
Walk rate = 3 ft per second
Student B:
1.5*3 = 4.5 ft per second
How long it will take to be a total of 28 feets apart
Distance = speed * time
Let time = x in seconds
Student A distance = 3x
Stident B distance = 4.5x
Initial distance = 1 foot
3x + 4.5x + 1 = 28
7.5x = 28 – 1
7.5x = 27
x = 27/ 7.5
x = 3.6 seconds