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Home Aptitude Problems on Trains See What Others Are Saying!
  • Question
  • A train leaves Mumbai for Goa at 3:45 pm and goes at the rate of 50 km/h. Another train leaves Goa for Mumbai at 2:35 pm and distance between Mumbai and Goa is 510 km. at what distance from Mumbai will the two trains meet?


  • Options
  • A. 200 km
  • B. 150 km
  • C. 145 km
  • D. 300 km

  • Correct Answer
  • 200 km 

    Explanation

    Let the two trains meet at D km from Mumbai. Then,
    3:45 pm + D/50 = 2 : 35 pm + 510 - D/60
    ? (3:45 pm - 2:35 pm) + (D/50 + D/ 60) = 510/60
    ? (11/6 h) + D{( 50 + 60 / 50 x 60)} = 17/2
    ? D(110/3000) = 17/2 - 7/6
    ? D(110/3000) = (51 - 7)/6 = 44/6
    ? D = (44/6) x (3000/110) = 200 km


  • More questions

    • 1. 
      In, ?ABC, D and E are the mid-points of AB and AC respectively. Find the ratio of the areas of ?ADE and ?ABC.

    • Options
    • A. 1 2
    • B. 1 4
    • C. 3 4
    • D. 1 8
    • Discuss
    • 2. 
      22020 ÷ 0.011=?

    • Options
    • A. 20020
    • B. 2000000
    • C. 200200
    • D. 200002
    • Discuss
    • 3. 
      How many times are the hands of a clock is at right angle in a day?

    • Options
    • A. 22
    • B. 24
    • C. 44
    • D. 48
    • Discuss
    • 4. The unit digit in the product (784 x 618 x 917 x 463) is:

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss
    • 5. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:

    • Options
    • A. Rs. 768
    • B. Rs. 968
    • C. Rs. 1960
    • D. Rs. 2400
    • Discuss
    • 6. 
      ?. 8x 2 + 6x = 5
      ?. 12y 2 ? 22y + 8 = 0

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 7. 
      15, 31, 63, 127, 255, (...)?

    • Options
    • A. 513
    • B. 511
    • C. 517
    • D. 523
    • Discuss
    • 8. 
      Find the probability that a vowel selected at random from the 5 vowels is an 'i'.?

    • Options
    • A. 4/5
    • B. 1/3
    • C. 1/5
    • D. 1/2
    • Discuss
    • 9. 396, 462, 572, 427, 671, 264

    • Options
    • A. 396
    • B. 427
    • C. 671
    • D. 264
    • Discuss
    • 10. 
      If 90% of A = 30% of B and B = C% of A,then the value of C is?

    • Options
    • A. 900
    • B. 800
    • C. 600
    • D. 300
    • Discuss


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