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Teaching Exam  >  Teaching Questions  >  Three persons walk from place A to place B. T... Start Learning for Free
Three persons walk from place A to place B. Their speeds are in the ratio 4 : 3 : 5. The ratio of the times taken by them to reach B will be 
  • a)
    10 : 15 : 13 
  • b)
    2 : 3 : 4
  • c)
    15 : 20 : 12
  • d)
    16 : 18 : 15
Correct answer is option 'C'. Can you explain this answer?
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Three persons walk from place A to place B. Their speeds are in the ra...
To solve this problem, we can assume that the distance between place A and place B is the same for all three persons. Let's say the distance is d units.

Ratio of speeds:
Person 1 : Person 2 : Person 3 = 4 : 3 : 5

This means that the speed of Person 1 is 4x, the speed of Person 2 is 3x, and the speed of Person 3 is 5x, where x is a constant.

Let's calculate the time taken by each person to reach place B.

Time taken by Person 1:
Distance = Speed × Time
d = (4x) × Time1
Time1 = d / (4x) = d / 4x

Time taken by Person 2:
d = (3x) × Time2
Time2 = d / (3x) = d / 3x

Time taken by Person 3:
d = (5x) × Time3
Time3 = d / (5x) = d / 5x

Now, let's simplify the expressions for time taken by each person.

Time1 = d / 4x = d / (2 × 2x) = (d / 2x) × (1/2) = (Time3 / 2) × (1/2) = Time3 / 4

Time2 = d / 3x = d / (3 × 1x) = (d / 3x) × (1/1) = (d / 3x) × (2/2) = (2d / 6x) = (2d / 5x) × (5/6) = (2/5) × Time3

Therefore, the ratio of the times taken by Person 1, Person 2, and Person 3 to reach place B is:

Time1 : Time2 : Time3 = Time3 / 4 : (2/5) × Time3 : Time3

Simplifying further, we get:

Time1 : Time2 : Time3 = 1 : 2/5 : 1

Converting the ratio to whole numbers, we multiply each part by 5:

Time1 : Time2 : Time3 = 5 : 2 : 5

This is equivalent to the ratio 15 : 6 : 15.

Therefore, the correct answer is option C) 15 : 20 : 12.
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Three persons walk from place A to place B. Their speeds are in the ratio 4 : 3 : 5. The ratio of the times taken by them to reach B will bea)10 : 15 : 13b)2 : 3 : 4c)15 : 20 : 12d)16 : 18 : 15Correct answer is option 'C'. Can you explain this answer?
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Three persons walk from place A to place B. Their speeds are in the ratio 4 : 3 : 5. The ratio of the times taken by them to reach B will bea)10 : 15 : 13b)2 : 3 : 4c)15 : 20 : 12d)16 : 18 : 15Correct answer is option 'C'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about Three persons walk from place A to place B. Their speeds are in the ratio 4 : 3 : 5. The ratio of the times taken by them to reach B will bea)10 : 15 : 13b)2 : 3 : 4c)15 : 20 : 12d)16 : 18 : 15Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three persons walk from place A to place B. Their speeds are in the ratio 4 : 3 : 5. The ratio of the times taken by them to reach B will bea)10 : 15 : 13b)2 : 3 : 4c)15 : 20 : 12d)16 : 18 : 15Correct answer is option 'C'. Can you explain this answer?.
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