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Two persons start running towards each other, one from A to B and the other from B to A. They cross each other in one hour. The first person reaches B 16/15 hours before the second person reaches A. If the distance between A and B is 8 km, then find the speed of the faster man.
- a)8 km/hr
- b)7 km/hr
- c)4 km/hr
- d)5 km/hr
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two persons start running towards each other, one from A to B and the ...
Given:
The distance between A and B is 8 km. And they cross each other in one hour.
Formula:
Speed = Distance/Time
Calculation:
Let the speed of the slower man and faster man be x km/hr and y km/hr respectively.
According to the question
x + y = 8/1
⇒ x + y = 8 →(1)
Again,
8/x – 8/y = 16/15 --- (2)
From (1) and (2), we get
8/x – 8/(8 – x) = 16/15
⇒ 8[1/x - 1/(8 - x)] = 16/15
⇒ 8[{8 - x - x}/x(8 - x
)] = 16/15
⇒ [{8 - 2x}/x(8 - x
)] = 2/15
⇒ 120 - 30x = 16x - 2x2
⇒ 2x
2 - 16x - 30x + 120 = 0
⇒ 2x
2
- 46x + 120 = 0
⇒ x2 - 23x + 60 = 0
⇒ (x - 20)(x - 3) = 0
⇒ x = 3 (∵ x = 20 not possible)
The speed of the faster man = y = 8 - x
⇒ y = 8 - 3 = 5
km/hr
∴ The speed of the faster man is 5 km/hr
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Two persons start running towards each other, one from A to B and the other from B to A. They cross each other in one hour. The first person reaches B 16/15hours before the second person reaches A. If the distance between A and B is 8 km, then find the speed of the faster man.a)8 km/hrb)7 km/hrc)4 km/hrd)5 km/hrCorrect answer is option 'D'. Can you explain this answer?
Question Description
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Two persons start running towards each other, one from A to B and the other from B to A. They cross each other in one hour. The first person reaches B 16/15hours before the second person reaches A. If the distance between A and B is 8 km, then find the speed of the faster man.a)8 km/hrb)7 km/hrc)4 km/hrd)5 km/hrCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two persons start running towards each other, one from A to B and the other from B to A. They cross each other in one hour. The first person reaches B 16/15hours before the second person reaches A. If the distance between A and B is 8 km, then find the speed of the faster man.a)8 km/hrb)7 km/hrc)4 km/hrd)5 km/hrCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons start running towards each other, one from A to B and the other from B to A. They cross each other in one hour. The first person reaches B 16/15hours before the second person reaches A. If the distance between A and B is 8 km, then find the speed of the faster man.a)8 km/hrb)7 km/hrc)4 km/hrd)5 km/hrCorrect answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Two persons start running towards each other, one from A to B and the other from B to A. They cross each other in one hour. The first person reaches B 16/15hours before the second person reaches A. If the distance between A and B is 8 km, then find the speed of the faster man.a)8 km/hrb)7 km/hrc)4 km/hrd)5 km/hrCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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