Final answer:
A train traveling 1 1/5 km per minute will cover 12 kilometers in 10 minutes.
Step-by-step explanation:
This calculation starts with converting the mixed fraction 1 1/5 km to an improper fraction, which is 6/5 km. This represents the distance the train travels in one minute. Since we want to find the distance for 10 minutes, we multiply 6/5 km by 10. This calculation is (6/5 km) * 10 = 6 km * 2 = 12 km. Therefore, the train will travel a total of 12 kilometers in 10 minutes.
To find how many kilometers the train will travel in 10 minutes, we need to multiply the speed of the train by the number of minutes. The train travels 1 1/5 km in a minute, which can be written as 6/5 km in a minute. So, in 10 minutes, the train will travel:
6/5 km/minute * 10 minutes = 6 km
Therefore, the train will travel 6 kilometers in 10 minutes, which corresponds to option a) 10 km.