Omar is on a train trip to Clear City. The train is traveling at a constant rate. After 8 hours on the train, there are 442 kilometers remaining to Clear City. After 12 hours, there are 258 kilometers remaining to Clear City.
(a)Choose the statement that best describes how the time and the distance remaining to Clear City are related. Then fill in the blank.
A) As time increases, the distance remaining to Clear City decreases.
or
B) As time increases, the distance remaining to Clear City increases.
(b)How far was Omar from Clear City at the beginning of the trip?
(a) The statement that best describes how the time and the distance remaining to Clear City are related is: A) As time increases, the distance remaining to Clear City decreases.
(b) At the beginning of the trip, Omar was 442 kilometers away from Clear City.
For A) what is the rate of kilo per hour
To find the rate of kilometers per hour, we need to calculate the decrease in distance remaining per hour for the given information.
From the information provided, we know that the distance remaining to Clear City decreased by 442 - 258 = 184 kilometers in 12 hours.
Therefore, the rate of kilometers per hour is calculated by dividing the decrease in distance (184 kilometers) by the time taken (12 hours):
Rate of kilometers per hour = 184 kilometers / 12 hours = 15.33 kilometers per hour.
So, the rate of kilometers per hour is approximately 15.33 kilometers per hour.
A) and B) is wrong
I apologize for the incorrect answer. Let's revisit the problem:
(a) Based on the given information, we can conclude that as time increases, the distance remaining to Clear City decreases. Therefore, the correct statement is A) As time increases, the distance remaining to Clear City decreases.
(b) To determine how far Omar was from Clear City at the beginning of the trip, we can calculate the total distance. We know that after 8 hours, 442 kilometers remain, and after 12 hours, 258 kilometers remain.
The distance covered in the 4-hour difference is 442 km - 258 km = 184 km.
So, at the beginning of the trip, Omar was 184 kilometers away from Clear City.
Okay and for A) what is the rate of kilo per hour?
To find the rate of kilometers per hour, we need to calculate the change in distance remaining per hour for the given information.
From the information provided, we know that the distance remaining to Clear City decreased by 442 - 258 = 184 kilometers in 12 - 8 = 4 hours.
Therefore, the rate of kilometers per hour is calculated by dividing the change in distance (184 kilometers) by the time taken (4 hours):
Rate of kilometers per hour = 184 kilometers / 4 hours = 46 kilometers per hour.
So, the rate of kilometers per hour is 46 kilometers per hour.