Respuesta :
Answer: The train travels 25 km in 20 minutes. The train takes 3.33 hours or about 3 hours and 20 minutes to cover a distance of 250 km.
Step-by-step explanation: A train is moving at a uniform speed of 75 km/hour. This means that it covers the same distance in every hour. To find how far it travels in 20 minutes, we can use the formula: distance = speed x time. Since 20 minutes is one-third of an hour, we can write: distance = 75 x (1/3) = 25 km. Therefore, the train travels 25 km in 20 minutes.
To find the time required to cover a distance of 250 km, we can use the same formula but rearrange it as: time = distance / speed. Plugging in the values, we get: time = 250 / 75 = 3.33 hours. Therefore, the train takes 3.33 hours or about 3 hours and 20 minutes to cover a distance of 250 km.
Answer:
i) 25 km in 20 minutes
ii) 3 hours and 20 minutes to travel 250 km
Step-by-step explanation:
We can represent this in the function:
d(t) = 75t
Where d represents the distance travelled in kilometers, and t represents the number of hours travelled. 20 minutes is 1/3 of an hour, so we can plug this into the function to get how far it will travel in 20 minutes.
d(1/3) = 75(1/3)
d(1/3) = 25
Therefore, the train will travel 25 kilometers in 20 minutes.
Since d represents the distance travelled, we can substitute d(t) for 250 and solve for t to find out how long it would take to travel 250 kilometers.
d(t) = 75t
250 = 75t
250/75 = t
t = 250/75
t = 3 + 1/3
Therefore, it will take 3 and 1/3 of an hour to travel 250 kilometers. This can also be expressed as 3 hours and 20 minutes, or 200 minutes.
