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A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?
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A train travels a distance of 90 km at a constant speed. had the speed...
Analysis of the Problem:
The problem states that a train travels a distance of 90 km at a constant speed. If the speed were 15 km per hour more, the journey would have taken 30 minutes less. We need to find the original speed of the train.
Let's Assume:
Let's assume the original speed of the train is x km/hr.
Calculating Time Taken:
- Time taken to cover 90 km at the original speed = \( \frac{90}{x} \) hours
- Time taken to cover 90 km at the increased speed (x + 15) km/hr = \( \frac{90}{x+15} \) hours
Given Condition:
According to the given condition, the time taken at the increased speed is 30 minutes less than the original time.
\( \frac{90}{x} - \frac{90}{x+15} = \frac{1}{2} \) (as 30 minutes = 1/2 hour)
Solve the Equation:
Solving the above equation will give us the value of x, which is the original speed of the train.
Calculate the Original Speed:
By solving the equation, we can find the original speed of the train.
Conclusion:
The original speed of the train can be calculated by solving the given equation, considering the distance traveled and the time taken at the original and increased speeds.
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A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?
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A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?.
A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train travels a distance of 90 km at a constant speed. had the speed mean 15 km per hour more it would have taken 30 minutes less for the journey. find the original speed of the train?.
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