Option C
The equation used to solve the problem is
![t = (1700)/(500)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/stjksim95g6nkpbb1e6tbuxi7srno08gk5.png)
Solution:
Given that, A plane traveled at a constant rate of 500 kmph
To find: time taken to travel 1700 km
Also given that,
The distance formula states that distance (d) is equal to the product of rate (r) and time (t)
![Distance = Rate * time taken](https://img.qammunity.org/2020/formulas/mathematics/middle-school/imzjk03xjd2re4jz2g38wb900xxtv7f5n5.png)
![d = r * t](https://img.qammunity.org/2020/formulas/mathematics/middle-school/n1c1figck044u9ar86oza8la2tlj71sm0b.png)
From given information,
rate = r = 500 kmph
distance = d = 1700 km
time taken = t = ?
Substituting the values in above formula we get,
![d = r * t\\\\1700 = 500 * t\\\\t = (1700)/(500)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2a54a7vbslcmb879c7lmi1mahhd4f4ru96.png)
Thus the equation used to solve the problem is
![t = (1700)/(500)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/stjksim95g6nkpbb1e6tbuxi7srno08gk5.png)
Thus option C is correct