Bob takes the subway to work and uses an escalator at the railway station. if bob runs up 8 steps of the escalator, then it takes him 46.5 seconds to reach the top of the escalator. if he runs up 13 steps of the escalator, then it takes him only 39.0 seconds to reach the top. how many seconds would it take bob to reach the top if he did not run up any steps of the escalator

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions