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A walks with a speed of 6 km/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km/hr. At what distance from start will B catch A.
- a)100
- b)110
- c)120
- d)140
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A walks with a speed of 6 km/hr and after 5 hr of his start, B starts ...
In 5hrs, A will cover 30 km. Now, at some distance ‘x’. So A will cover X distance and B will cover 30 + X.
x/6 = (30+x)/8
x = 90. So distance from start after which B will catch A = 120km
x/6 = (30+x)/8
x = 90. So distance from start after which B will catch A = 120km
Most Upvoted Answer
A walks with a speed of 6 km/hr and after 5 hr of his start, B starts ...
Let's break down the problem step by step:
1. Establish the given information:
- A's speed = 6 km/hr
- B's speed = 8 km/hr
- B starts 5 hours after A starts
2. Determine the relative speed between A and B:
The relative speed is the difference in their speeds. In this case, it is 8 km/hr - 6 km/hr = 2 km/hr.
3. Calculate the time it takes for B to catch up with A:
Since B starts 5 hours later than A, we need to find the time it takes for B to catch up with A. We can use the formula:
Time = Distance / Speed
Let's assume that B catches up with A after t hours. During this time, A has been walking for t + 5 hours. The distance covered by A in t + 5 hours is (t + 5) * 6 km. The distance covered by B in t hours is t * 8 km.
As B catches up with A, the distance covered by both A and B is the same. Therefore, we can equate their distances:
(t + 5) * 6 = t * 8
4. Solve the equation for t:
Distribute the multiplication on the left side of the equation:
6t + 30 = 8t
Subtract 6t from both sides:
30 = 2t
Divide both sides by 2:
15 = t
5. Calculate the distance from the start where B catches up with A:
The distance covered by A in 15 + 5 = 20 hours is 20 * 6 = 120 km.
Therefore, B catches up with A at a distance of 120 km from the start.
Hence, the correct answer is option C) 120 km.
1. Establish the given information:
- A's speed = 6 km/hr
- B's speed = 8 km/hr
- B starts 5 hours after A starts
2. Determine the relative speed between A and B:
The relative speed is the difference in their speeds. In this case, it is 8 km/hr - 6 km/hr = 2 km/hr.
3. Calculate the time it takes for B to catch up with A:
Since B starts 5 hours later than A, we need to find the time it takes for B to catch up with A. We can use the formula:
Time = Distance / Speed
Let's assume that B catches up with A after t hours. During this time, A has been walking for t + 5 hours. The distance covered by A in t + 5 hours is (t + 5) * 6 km. The distance covered by B in t hours is t * 8 km.
As B catches up with A, the distance covered by both A and B is the same. Therefore, we can equate their distances:
(t + 5) * 6 = t * 8
4. Solve the equation for t:
Distribute the multiplication on the left side of the equation:
6t + 30 = 8t
Subtract 6t from both sides:
30 = 2t
Divide both sides by 2:
15 = t
5. Calculate the distance from the start where B catches up with A:
The distance covered by A in 15 + 5 = 20 hours is 20 * 6 = 120 km.
Therefore, B catches up with A at a distance of 120 km from the start.
Hence, the correct answer is option C) 120 km.
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A walks with a speed of 6 km/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km/hr. At what distance from start will B catch A.a)100b)110c)120d)140e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A walks with a speed of 6 km/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km/hr. At what distance from start will B catch A.a)100b)110c)120d)140e)None of theseCorrect 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 A walks with a speed of 6 km/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km/hr. At what distance from start will B catch A.a)100b)110c)120d)140e)None of theseCorrect 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 A walks with a speed of 6 km/hr and after 5 hr of his start, B starts running towards A at a speed of 8 km/hr. At what distance from start will B catch A.a)100b)110c)120d)140e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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