Answer:
The time will be at least 1.5 hours
Step-by-step explanation:
Data:
s = Maximum permitted speed ≤ 70 miles per hour
d = distance = 105 miles
t =?
Formula:
s ≤ d / t
By isolating the variable "t" we change the sign of inequality.
T ≥ = d / s
In this case, it is an inequality to know the minimum time (at least equivalent to the sign "≥") that will take you to travel the given distance. We know that it is the minimum time (≥) because the allowed speed is the maximum (speed is inversely proportional to time).
T ≥ d / s
T ≥ 105 miles / 70 miles per hour
T ≥ 1.5 hours
Therefore, the time will be at least 1.5 hours
.
Hope this helps!
