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A and B set out at the same time to walk towards each other respectively from a place P and Q 144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?
- a)36 km
- b)72 km
- c)56 km
- d)26 km
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A and B set out at the same time to walk towards each other respective...
Distance travelled by them in first hour = 12 km
Distance travelled by them in second hour = 13 km and so on
In 9 hours both will cover exactly 144 km.
In 9 hours each will cover half the total distance.
Distance travelled by them in second hour = 13 km and so on
In 9 hours both will cover exactly 144 km.
In 9 hours each will cover half the total distance.
Most Upvoted Answer
A and B set out at the same time to walk towards each other respective...
Distance travelled by them in first hour = 12 km
Distance travelled by them in second hour = 13 km and so on
In 9 hours both will cover exactly 144 km.
In 9 hours each will cover half the total distance.
Distance travelled by them in second hour = 13 km and so on
In 9 hours both will cover exactly 144 km.
In 9 hours each will cover half the total distance.
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Community Answer
A and B set out at the same time to walk towards each other respective...
Distance between them will decrease by 4+5+6+... km in each hour. This is an arithmetic series with first term 4 and common difference 1, so we can use the formula for the sum of an arithmetic series:
S = (n/2)(a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term. We want to find the value of n when the sum is equal to 144 km, which is the distance between P and Q.
144 = (n/2)(4 + (4 + n - 1))
144 = (n/2)(2n + 3)
288 = n(2n + 3)
2n^2 + 3n - 288 = 0
(n - 9)(2n + 32) = 0
The only positive solution is n = 9, which means they meet after 9 hours of walking. In that time, A has covered 8 x 9 = 72 km, while B has covered 4+5+6+...+12 = 63 km. Therefore, they meet 144 - 72 - 63 = 9 km from P and 135 km from Q.
S = (n/2)(a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term. We want to find the value of n when the sum is equal to 144 km, which is the distance between P and Q.
144 = (n/2)(4 + (4 + n - 1))
144 = (n/2)(2n + 3)
288 = n(2n + 3)
2n^2 + 3n - 288 = 0
(n - 9)(2n + 32) = 0
The only positive solution is n = 9, which means they meet after 9 hours of walking. In that time, A has covered 8 x 9 = 72 km, while B has covered 4+5+6+...+12 = 63 km. Therefore, they meet 144 - 72 - 63 = 9 km from P and 135 km from Q.
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A and B set out at the same time to walk towards each other respectively from a place P and Q144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?a)36 kmb)72 kmc)56 kmd)26 kmCorrect answer is option 'B'. Can you explain this answer?
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A and B set out at the same time to walk towards each other respectively from a place P and Q144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?a)36 kmb)72 kmc)56 kmd)26 kmCorrect answer is option 'B'. 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 and B set out at the same time to walk towards each other respectively from a place P and Q144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?a)36 kmb)72 kmc)56 kmd)26 kmCorrect answer is option 'B'. 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 and B set out at the same time to walk towards each other respectively from a place P and Q144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?a)36 kmb)72 kmc)56 kmd)26 kmCorrect answer is option 'B'. Can you explain this answer?.
A and B set out at the same time to walk towards each other respectively from a place P and Q144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?a)36 kmb)72 kmc)56 kmd)26 kmCorrect answer is option 'B'. 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 and B set out at the same time to walk towards each other respectively from a place P and Q144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?a)36 kmb)72 kmc)56 kmd)26 kmCorrect answer is option 'B'. 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 and B set out at the same time to walk towards each other respectively from a place P and Q144 km apart. A walks at the constant speed of 8 km/h, while B walks 4 km in the first hour, 5 km in the second hour, 6 km in the third hour and so on. Then the “A” will meet “B” at?a)36 kmb)72 kmc)56 kmd)26 kmCorrect answer is option 'B'. Can you explain this answer?.
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