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Two towns A and B are 60 km apart. A school is to be built, to serve 150 students from town A and 50 students from town B. If the total distance travelled by all 200 students is to be as small as possible, then the school should be built at
  • a)
    45 km from town A
  • b)
    45 km from town B
  • c)
    town A
  • d)
    town B
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two towns A and B are 60 km apart. A school is to be built, to serve 1...

If x is the distance covered by student of town A, then total distance covered by all students = 150 * x + 50 (60 - x) = 3000 + 100x
It is minimum if x = 0
So, school should be in town A.
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Most Upvoted Answer
Two towns A and B are 60 km apart. A school is to be built, to serve 1...

If x is the distance covered by student of town A, then total distance covered by all students = 150 * x + 50 (60 - x) = 3000 + 100x
It is minimum if x = 0
So, school should be in town A.
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Two towns A and B are 60 km apart. A school is to be built, to serve 150 students from town A and 50 students from town B. If the total distance travelled by all 200 students is to be as small as possible, then the school should be built ata)45 km from town Ab)45 km from town Bc)town Ad)town BCorrect answer is option 'C'. Can you explain this answer?
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