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Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time. What is their initial speed?
- a)21 kmph, 23 kmph
- b)25 kmph, 27 kmph
- c)25 kmph, 23 kmph
- d)24 kmph, 26 kmph
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Sofi started travelling from a place A to B and Priya started travelli...
Answer – C. 25 kmph, 23 kmph
Explanation :
Sum of their speeds = Distance/time = 576/12 = 48 kmph
Respective Speed of Sofi and Priya = (25 + 23) = 48 kmph
Most Upvoted Answer
Sofi started travelling from a place A to B and Priya started travelli...
To solve this problem, let's assume the initial speed of Sofi as 'x' km/hr and the initial speed of Priya as 'y' km/hr.
Meeting after 12 hours:
- In 12 hours, Sofi would have covered a distance of 12x km.
- In 12 hours, Priya would have covered a distance of 12y km.
- Together, they would have covered a total distance of 12x + 12y km.
Remaining distance after meeting:
- The remaining distance between A and B is 576 - (12x + 12y) km.
After meeting, Sofi increases her speed by 2 km/hr and Priya reduces her speed by 2 km/hr.
- Sofi's new speed = x + 2 km/hr
- Priya's new speed = y - 2 km/hr
Both arrive at their respective destinations at the same time:
- Time taken by Sofi to cover the remaining distance = (576 - (12x + 12y))/(x + 2) hours
- Time taken by Priya to cover the remaining distance = (576 - (12x + 12y))/(y - 2) hours
Since they arrive at the same time, we can equate the two expressions:
(576 - (12x + 12y))/(x + 2) = (576 - (12x + 12y))/(y - 2)
Canceling out the common terms, we get:
1/(x + 2) = 1/(y - 2)
Cross multiplying, we get:
y - 2 = x + 2
Rearranging the equation, we get:
y - x = 4
Meeting after 12 hours:
- We know that they meet after 12 hours, so the total distance covered by both of them is 576 km.
- 12x + 12y = 576
Substituting the value of y from the equation above, we get:
12x + 12(x + 4) = 576
24x + 48 = 576
24x = 528
x = 22
Substituting the value of x in y - x = 4, we get:
y - 22 = 4
y = 26
Therefore, the initial speed of Sofi is 22 km/hr and the initial speed of Priya is 26 km/hr.
Hence, the correct answer is option C: 25 kmph, 23 kmph.
Meeting after 12 hours:
- In 12 hours, Sofi would have covered a distance of 12x km.
- In 12 hours, Priya would have covered a distance of 12y km.
- Together, they would have covered a total distance of 12x + 12y km.
Remaining distance after meeting:
- The remaining distance between A and B is 576 - (12x + 12y) km.
After meeting, Sofi increases her speed by 2 km/hr and Priya reduces her speed by 2 km/hr.
- Sofi's new speed = x + 2 km/hr
- Priya's new speed = y - 2 km/hr
Both arrive at their respective destinations at the same time:
- Time taken by Sofi to cover the remaining distance = (576 - (12x + 12y))/(x + 2) hours
- Time taken by Priya to cover the remaining distance = (576 - (12x + 12y))/(y - 2) hours
Since they arrive at the same time, we can equate the two expressions:
(576 - (12x + 12y))/(x + 2) = (576 - (12x + 12y))/(y - 2)
Canceling out the common terms, we get:
1/(x + 2) = 1/(y - 2)
Cross multiplying, we get:
y - 2 = x + 2
Rearranging the equation, we get:
y - x = 4
Meeting after 12 hours:
- We know that they meet after 12 hours, so the total distance covered by both of them is 576 km.
- 12x + 12y = 576
Substituting the value of y from the equation above, we get:
12x + 12(x + 4) = 576
24x + 48 = 576
24x = 528
x = 22
Substituting the value of x in y - x = 4, we get:
y - 22 = 4
y = 26
Therefore, the initial speed of Sofi is 22 km/hr and the initial speed of Priya is 26 km/hr.
Hence, the correct answer is option C: 25 kmph, 23 kmph.
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Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at Band A respectively at the same time. What is their initial speed?a)21 kmph, 23kmphb)25 kmph, 27 kmphc)25 kmph, 23kmphd)24kmph, 26kmphCorrect answer is option 'C'. Can you explain this answer?
Question Description
Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at Band A respectively at the same time. What is their initial speed?a)21 kmph, 23kmphb)25 kmph, 27 kmphc)25 kmph, 23kmphd)24kmph, 26kmphCorrect answer is option 'C'. 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 Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at Band A respectively at the same time. What is their initial speed?a)21 kmph, 23kmphb)25 kmph, 27 kmphc)25 kmph, 23kmphd)24kmph, 26kmphCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at Band A respectively at the same time. What is their initial speed?a)21 kmph, 23kmphb)25 kmph, 27 kmphc)25 kmph, 23kmphd)24kmph, 26kmphCorrect answer is option 'C'. Can you explain this answer?.
Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at Band A respectively at the same time. What is their initial speed?a)21 kmph, 23kmphb)25 kmph, 27 kmphc)25 kmph, 23kmphd)24kmph, 26kmphCorrect answer is option 'C'. 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 Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at Band A respectively at the same time. What is their initial speed?a)21 kmph, 23kmphb)25 kmph, 27 kmphc)25 kmph, 23kmphd)24kmph, 26kmphCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sofi started travelling from a place A to B and Priya started travelling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Sofi increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at Band A respectively at the same time. What is their initial speed?a)21 kmph, 23kmphb)25 kmph, 27 kmphc)25 kmph, 23kmphd)24kmph, 26kmphCorrect answer is option 'C'. Can you explain this answer?.
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