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A car takes 2 hours more a distance of 480 km when its speed is reduced . Find its usual speed
Correct answer is '55'. Can you explain this answer?
Most Upvoted Answer
A car takes 2 hours more a distance of 480 kmwhen its speed is reduced...
Problem:
A car takes 2 hours more to cover a distance of 480 km when its speed is reduced. Find its usual speed.
Solution:
Let's assume the usual speed of the car is 'x' km/h.
When the car is traveling at its usual speed, it takes 't' hours to cover the distance of 480 km.
When the car's speed is reduced, it takes 't+2' hours to cover the same distance of 480 km.
Calculating Time:
We know that time = distance / speed.
- At usual speed: t = 480 / x
- At reduced speed: t+2 = 480 / x
Equation:
Since the car takes 2 hours more at the reduced speed, we can set up the following equation:
t+2 = t + 2 hours
Substituting the values of 't' from the previous equations:
480 / x + 2 = 480 / x
Cross Multiplication:
To solve the equation, we can cross multiply:
480x = (480 / x) * (x + 2)
Simplifying:
Simplifying the equation further:
480x = 480 + 960
480x = 1440
Dividing:
Dividing both sides of the equation by 480:
x = 1440 / 480
x = 3
Conclusion:
The usual speed of the car is 3 km/h.
A car takes 2 hours more to cover a distance of 480 km when its speed is reduced. Find its usual speed.
Solution:
Let's assume the usual speed of the car is 'x' km/h.
When the car is traveling at its usual speed, it takes 't' hours to cover the distance of 480 km.
When the car's speed is reduced, it takes 't+2' hours to cover the same distance of 480 km.
Calculating Time:
We know that time = distance / speed.
- At usual speed: t = 480 / x
- At reduced speed: t+2 = 480 / x
Equation:
Since the car takes 2 hours more at the reduced speed, we can set up the following equation:
t+2 = t + 2 hours
Substituting the values of 't' from the previous equations:
480 / x + 2 = 480 / x
Cross Multiplication:
To solve the equation, we can cross multiply:
480x = (480 / x) * (x + 2)
Simplifying:
Simplifying the equation further:
480x = 480 + 960
480x = 1440
Dividing:
Dividing both sides of the equation by 480:
x = 1440 / 480
x = 3
Conclusion:
The usual speed of the car is 3 km/h.
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A car takes 2 hours more a distance of 480 kmwhen its speed is reduced...
55 kmph
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A car takes 2 hours more a distance of 480 kmwhen its speed is reduced . Find its usual speedCorrect answer is '55'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A car takes 2 hours more a distance of 480 kmwhen its speed is reduced . Find its usual speedCorrect answer is '55'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car takes 2 hours more a distance of 480 kmwhen its speed is reduced . Find its usual speedCorrect answer is '55'. Can you explain this answer?.
A car takes 2 hours more a distance of 480 kmwhen its speed is reduced . Find its usual speedCorrect answer is '55'. Can you explain this answer? for Quant 2026 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A car takes 2 hours more a distance of 480 kmwhen its speed is reduced . Find its usual speedCorrect answer is '55'. Can you explain this answer? covers all topics & solutions for Quant 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car takes 2 hours more a distance of 480 kmwhen its speed is reduced . Find its usual speedCorrect answer is '55'. Can you explain this answer?.
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