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Read the following information carefully and answer the questions based on it.
P and Q started from point A, at same time and running towards point D. Point A, B, C and D are collinear (same order). Time taken by P to travel distance from B to C is 6 hours more than that of Q, while time taken by P to travel from A to B and from C to D respectively is 8 hours and 14 hours less than that of Q. Distance between A and B is twice as that of distance between C and D, while distance between B and C is thrice of distance between C and D. Average speed of P for overall journey is 90 km/h while of Q is 60 km/h.
Find total distance between point A and point D.
  • a)
    2400 km
  • b)
    1920 km
  • c)
    1440 km
  • d)
    2880 km
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Read the following information carefully and answer the questions bas...
Ratio of speed of P to Q = 90:60 = 3:2
Ratio of time taken = 2:3
Difference between travelling time of P and Q = 8 + 14 – 6 = 16 hours
So, travelling time of P = [2 / (3 – 2)] x 16 = 32 hours
Travelling time of Q = 32/2 x 3 = 48 hours
Distance between A and D = 32 x 90 = 2880 km
Ratio of distance between, AB, BC, and CD respectively = 2:3:1
Distance between AB = 2/6 x 2880 = 960 km
Distance between BC = 3/6 x 2880 = 1440 km
Distance between CD = 1/6 x 2880 = 480 km
According to question,
Required distance = 2880 km
Hence answer is option D
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Read the following information carefully and answer the questions based on it.P and Q started from point A, at same time and running towards point D. Point A, B, C and D are collinear (same order). Time taken by P to travel distance from B to C is 6 hours more than that of Q, while time taken by P to travel from A to B and from C to D respectively is 8 hours and 14 hours less than that of Q. Distance between A and B is twice as that of distance between C and D, while distance between B and C is thrice of distance between C and D. Average speed of P for overall journey is 90 km/h while of Q is 60 km/h.Find total distance between point A and point D.a)2400 kmb)1920 kmc)1440 kmd)2880 kme)None of theseCorrect answer is option 'D'. Can you explain this answer?
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