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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.
If speed of P for covering BC is 100% more than that while covering CD, and time taken to travel CD is 4 hours less than that of BC. Find the speed of P while travelling from BC?
  • a)
    100 km/h
  • b)
    60 km/h
  • c)
    120 km/h
  • d)
    108 km/h
  • e)
    None of these
Correct answer is option 'C'. 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
Ratio of speed of P while covering BC and CD = 2:1
Ratio of distance between BC and CD = 3:1
Ratio of time taken = 3/2: 1/1 = 3:2
Time taken by P to cover BC = 3/ (3 – 2) x 4 = 12 hours
Required speed = 1440/12 = 120 km/h
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Study the following information carefully and answer the questions given below.Nine persons P, Q, R, S, T, U, V, W and X are travelling in three different transport viz. Bus, Train and Car and they like different movie genres viz. Comedy, Thriller, Crime, Horror, Mystery, Fantasy, Sci-Fi, Drama and Cartoon. All the information is not necessarily in the same order.Note: At least two persons and not more than four persons are travelling in the same mode of transport. If it is given that “A is travelling with the one who likes Sci-Fi movie”, then it means A doesn’t like Sci-fi movie but another person travelling along with A likes Sci-Fi movie.The one who likes Comedy travels along with V. Both P and T are travelling in the same mode of transport. P neither travels in train nor with the one who likes comedy. Q travels along with the one who likes Crime but neither in bus nor along with T. W travels along with the one who likes crime. Both V and W do not travel in the same mode of transport. The one who likes horror travels along with the one who likes Cartoon where neither of them travels in Car. The number of people travelling in train is one more than the number of people travelling in Bus. S travels along with the one who likes horror. S doesn’t travel in train. Neither V nor T likes horror. Either S or V likes cartoon.U likes fantasy movie but travels in neither car nor bus. R travels along with U. Either X or T likes Sci-fi. Neither W nor Q likes thriller. The one who likes thriller doesn’t travel with T. W doesn’t like Mystery movie.Which of the following combination(s) is/are true with respect to the final arrangement?I. P-Thriller movieII. X-Horror movieIII. W-Drama movie

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