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A person covers a certain distance at a he es 1 increases his speed by 25% then he take minutes less to cover the same distance. Find the time He by him initially to cover the distance at the original speed
Correct answer is '7'. Can you explain this answer?
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A person covers a certain distance at a he es 1 increases his speed by...
Given information:
- A person covers a certain distance at a speed.
- The person increases his speed by 25%.
- After increasing the speed, he takes minutes less to cover the same distance.
To find:
The time taken by the person initially to cover the distance at the original speed.
Assumptions:
- Let the distance covered be 'd'.
- Let the original speed be 's' units per minute.
- Let the time taken initially be 't' minutes.
Calculating the new speed:
- The person increases his speed by 25%, which means the new speed is 125% of the original speed.
- Mathematically, the new speed is calculated as follows: New speed = s + (25/100)s = s + 0.25s = 1.25s units per minute.
Calculating the new time:
- The person takes minutes less to cover the distance at the new speed.
- Let the new time taken be 't - x' minutes.
Calculating the new time using distance, speed, and time formula:
- Distance = Speed * Time
- For the original speed: d = s * t
- For the new speed: d = 1.25s * (t - x)
Solving the equations:
- From the above equations, we can equate the distances covered at the original and new speeds.
- s * t = 1.25s * (t - x)
- Dividing both sides by 's': t = 1.25(t - x)
- Expanding the equation: t = 1.25t - 1.25x
- Rearranging the terms: 1.25x = 0.25t
- Dividing both sides by 0.25: 5x = t
- Therefore, the initial time taken, t = 5x.
Calculating the value of x:
- It is given that the person takes minutes less to cover the distance at the new speed.
- Therefore, x = minutes.
Calculating the initial time:
- t = 5x
- t = 5 * 7
- t = 35
Final answer:
The time taken by the person initially to cover the distance at the original speed is 35 minutes.
- A person covers a certain distance at a speed.
- The person increases his speed by 25%.
- After increasing the speed, he takes minutes less to cover the same distance.
To find:
The time taken by the person initially to cover the distance at the original speed.
Assumptions:
- Let the distance covered be 'd'.
- Let the original speed be 's' units per minute.
- Let the time taken initially be 't' minutes.
Calculating the new speed:
- The person increases his speed by 25%, which means the new speed is 125% of the original speed.
- Mathematically, the new speed is calculated as follows: New speed = s + (25/100)s = s + 0.25s = 1.25s units per minute.
Calculating the new time:
- The person takes minutes less to cover the distance at the new speed.
- Let the new time taken be 't - x' minutes.
Calculating the new time using distance, speed, and time formula:
- Distance = Speed * Time
- For the original speed: d = s * t
- For the new speed: d = 1.25s * (t - x)
Solving the equations:
- From the above equations, we can equate the distances covered at the original and new speeds.
- s * t = 1.25s * (t - x)
- Dividing both sides by 's': t = 1.25(t - x)
- Expanding the equation: t = 1.25t - 1.25x
- Rearranging the terms: 1.25x = 0.25t
- Dividing both sides by 0.25: 5x = t
- Therefore, the initial time taken, t = 5x.
Calculating the value of x:
- It is given that the person takes minutes less to cover the distance at the new speed.
- Therefore, x = minutes.
Calculating the initial time:
- t = 5x
- t = 5 * 7
- t = 35
Final answer:
The time taken by the person initially to cover the distance at the original speed is 35 minutes.
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A person covers a certain distance at a he es 1 increases his speed by 25% then he take minutes less to cover the same distance. Find the time He by him initially to cover the distance at the original speedCorrect answer is '7'. Can you explain this answer?
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A person covers a certain distance at a he es 1 increases his speed by 25% then he take minutes less to cover the same distance. Find the time He by him initially to cover the distance at the original speedCorrect answer is '7'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A person covers a certain distance at a he es 1 increases his speed by 25% then he take minutes less to cover the same distance. Find the time He by him initially to cover the distance at the original speedCorrect answer is '7'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person covers a certain distance at a he es 1 increases his speed by 25% then he take minutes less to cover the same distance. Find the time He by him initially to cover the distance at the original speedCorrect answer is '7'. Can you explain this answer?.
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