Answer:
6.05 seconds
Step-by-step explanation:
we know that
The speed is the ratio between the distance and the time
Let
s -----> the speed in meters per second
d ----> the distance in meters
t ---> the time in seconds
![s=(d)/(t)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t8ko7jzul01pnc95uon79k8cw03y6zzzke.png)
In this problem we have
![s=12.5\ (m)/(sec)](https://img.qammunity.org/2020/formulas/physics/middle-school/y6357cm18jjzaq33jndfe0zogkirldjjn5.png)
![d=75.6\ m](https://img.qammunity.org/2020/formulas/physics/middle-school/jaym522s7wgrw4bfvejl462ujwcniic40e.png)
substitute in the formula and solve for t
![12.5=(75.6)/(t)](https://img.qammunity.org/2020/formulas/physics/middle-school/ap1x3q44g76lpn2g05tilyu720xwzl4zuq.png)
Multiply by t both sides
![12.5t=75.6](https://img.qammunity.org/2020/formulas/physics/middle-school/98fo81zm9cusmf9cv36yy08yoyfk9suztj.png)
Divide by 12.5 both sides
![t=6.05\ sec](https://img.qammunity.org/2020/formulas/physics/middle-school/kw811c2mrtphtxy96v8lk56lce5xa1mkem.png)