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Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?
  • a)
    12 km
  • b)
    12.8 km
  • c)
    11 km.
  • d)
    10 km.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two boys, who study in a school, start walking to their homes from the...
Given information:
- First boy's home is 5 km away from the school and he walks at a speed of 5 km/hr.
- Second boy's home is 8 km away from the school and he walks at a speed of 6 km/hr.
- They start walking from the school at 1 pm.
- Their homes are in directly opposite directions.

To find:
The distance between the two boys at 2:10 pm.

Assumptions:
- Both boys walk in opposite directions from the school.
- The distance between their homes remains constant.
- Both boys walk at a constant speed throughout the journey.

Solution:

Step 1: Find the time for which the boys have been walking.

The boys start walking from the school at 1 pm, and we need to find the distance between them at 2:10 pm. Therefore, the time for which they have been walking = 2:10 pm - 1 pm = 1 hour 10 minutes = 7/6 hours.

Step 2: Find the distance covered by each boy.

Let's assume that the distance between the two boys is 'd' km.

- The first boy walks towards his home, which is 5 km away from the school. Therefore, the distance covered by him in 7/6 hours = 5 × 7/6 = 35/6 km.
- The second boy walks towards his home, which is 8 km away from the school. Therefore, the distance covered by him in 7/6 hours = 8 × 7/6 = 28/3 km.

Step 3: Find the distance between the two boys.

The distance between the two boys = the sum of the distances covered by them.

Therefore, d = 35/6 + 28/3 = 35/6 + 56/6 = 91/6 km = 15.17 km (approx).

Answer:
The distance between the two boys at 2:10 pm is approximately 15.17 km.

Therefore, option (c) 11 km is incorrect. Option (b) 12.8 km and option (d) 10 km are also incorrect. The correct answer is option (a) 12 km.
Free Test
Community Answer
Two boys, who study in a school, start walking to their homes from the...
At the beginning, both the boys walk away from each other. After one hour, first boy reaches home and his distance from school is 5 km. This distance does not change after 2 pm.
The second boy walks at the speed of 6 km per hour for the entire 1 hour 10 min.
Distance covered by second boy in 1 hour 10 min = 7 km.
So, Total distance between the boys at 2:10 pm = 7 + 5 = 12 km. 
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Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?a)12 kmb)12.8 kmc)11 km.d)10 km.Correct answer is option 'C'. Can you explain this answer?
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Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?a)12 kmb)12.8 kmc)11 km.d)10 km.Correct answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?a)12 kmb)12.8 kmc)11 km.d)10 km.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two boys, who study in a school, start walking to their homes from their school at 1 pm. The first boy, whose home is 5 km away from the school walks at a speed of 5 km/hr and the second boy whose home is 8 km away from the school walks at a speed of 6 km/hr. If their homes are in directly opposite directions, what will be the distance between the two boys at 2:10 pm?a)12 kmb)12.8 kmc)11 km.d)10 km.Correct answer is option 'C'. Can you explain this answer?.
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