A train starts from a certain station with speed of 105 km/hr. after travelling 7 hrs train get accident and speed of train decreases by 30 km/hr and train will late by 4 hours 48 minutes. Find the total distance of journey?Options1512 km1890 km1995 km2205 km
Question
A train starts from a certain station with speed of 105 km/hr. after travelling 7 hrs train get accident and speed of train decreases by 30 km/hr and train will late by 4 hours 48 minutes. Find the total distance of journey?Options1512 km1890 km1995 km2205 km
Solution
To solve this problem, we need to break it down into two parts: the distance the train traveled before the accident, and the distance it traveled after the accident.
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Before the accident: The train was traveling at 105 km/hr for 7 hours. So, the distance covered is speed * time = 105 km/hr * 7 hr = 735 km.
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After the accident: The train's speed decreased by 30 km/hr, so it was now traveling at 105 km/hr - 30 km/hr = 75 km/hr. The train was late by 4 hours and 48 minutes, which means it traveled for an additional 4 hours and 48 minutes than originally planned. Convert 48 minutes to hours by dividing by 60, so 48 minutes = 0.8 hours. Therefore, the total additional time is 4.8 hours. The distance covered is speed * time = 75 km/hr * 4.8 hr = 360 km.
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The total distance of the journey is the sum of the distances covered before and after the accident, which is 735 km + 360 km = 1095 km.
However, none of the options match this result. There seems to be a mistake in the problem or the options provided.
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