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Read the passage given below and solve the questions based on it.
Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to cover
Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to cover
Q.
What is the total time taken for the journey?
- a)4 hrs
- b)5 hrs
- c)6 hrs
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Read the passage given below and solve the questions based on it.Amit ...
If Amit would have increased his speed by 25% in the beginning, he would have saved one hour in covering the actual planned distance. So, 1/5 T = 1 hr. (Where T is the actual planned time). Hence, T = 5 hours.
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Read the passage given below and solve the questions based on it.Amit ...
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Read the passage given below and solve the questions based on it.Amit ...
Given information:
- Amit intended to travel a certain distance at a certain uniform speed.
- After one hour, he increased his speed by 25%.
- In the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to cover.
To find: Total time taken for the journey.
Solution:
Let's consider the distance that Amit intended to travel as 'd' and his initial speed as 's'.
So, the time Amit would have taken to travel 'd' distance at speed 's' is given by:
Time taken = d/s
After one hour, Amit increased his speed by 25%. So, his new speed is (s + 25s/100) = (5s/4).
Now, Amit has to cover the remaining distance (d - s * 1) at his increased speed (5s/4).
We know that Amit could cover the remaining distance in the same time that he initially planned for the journey.
So, the time taken to cover the remaining distance at increased speed is equal to the time taken to cover the initial distance at the initial speed.
i.e., d/s = (d - s * 1)/(5s/4)
On solving the above equation, we get:
4d/5s = d/s - 1
3d/5s = 1
d/s = 5/3
Substituting this in the initial equation, we get:
Time taken = d/s = 5/3 hours
But we need to add the one hour that Amit traveled at his initial speed before increasing it. Therefore, the total time taken for the journey is:
Total time = 1 + 5/3 = 8/3 hours
Therefore, the correct option is (b) 5 hrs.
- Amit intended to travel a certain distance at a certain uniform speed.
- After one hour, he increased his speed by 25%.
- In the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to cover.
To find: Total time taken for the journey.
Solution:
Let's consider the distance that Amit intended to travel as 'd' and his initial speed as 's'.
So, the time Amit would have taken to travel 'd' distance at speed 's' is given by:
Time taken = d/s
After one hour, Amit increased his speed by 25%. So, his new speed is (s + 25s/100) = (5s/4).
Now, Amit has to cover the remaining distance (d - s * 1) at his increased speed (5s/4).
We know that Amit could cover the remaining distance in the same time that he initially planned for the journey.
So, the time taken to cover the remaining distance at increased speed is equal to the time taken to cover the initial distance at the initial speed.
i.e., d/s = (d - s * 1)/(5s/4)
On solving the above equation, we get:
4d/5s = d/s - 1
3d/5s = 1
d/s = 5/3
Substituting this in the initial equation, we get:
Time taken = d/s = 5/3 hours
But we need to add the one hour that Amit traveled at his initial speed before increasing it. Therefore, the total time taken for the journey is:
Total time = 1 + 5/3 = 8/3 hours
Therefore, the correct option is (b) 5 hrs.
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Read the passage given below and solve the questions based on it.Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to coverQ.What is the total time taken for the journey?a)4 hrsb)5 hrsc)6 hrsd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Read the passage given below and solve the questions based on it.Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to coverQ.What is the total time taken for the journey?a)4 hrsb)5 hrsc)6 hrsd)None of theseCorrect answer is option 'B'. 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 Read the passage given below and solve the questions based on it.Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to coverQ.What is the total time taken for the journey?a)4 hrsb)5 hrsc)6 hrsd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the passage given below and solve the questions based on it.Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to coverQ.What is the total time taken for the journey?a)4 hrsb)5 hrsc)6 hrsd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Read the passage given below and solve the questions based on it.Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to coverQ.What is the total time taken for the journey?a)4 hrsb)5 hrsc)6 hrsd)None of theseCorrect answer is option 'B'. 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 Read the passage given below and solve the questions based on it.Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to coverQ.What is the total time taken for the journey?a)4 hrsb)5 hrsc)6 hrsd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the passage given below and solve the questions based on it.Amit intended to travel a certain distance at a certain uniform speed. But after one hour, he increased his speed by 25%. As a result in the remaining part of the lime that he originally planned for the journey, he could now cover as much distance as he initially thought he would be able to coverQ.What is the total time taken for the journey?a)4 hrsb)5 hrsc)6 hrsd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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