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Home Aptitude Time and Distance See What Others Are Saying!
  • Question
  • An express train travelled at an average speed of 100 km/h, stopping for 3 min after every 75 km. A local train travelled at a speed of 50 km/h, stopping for 1 min after every 25 km. If the trains began travelling at the same time, how many kilometres did the local train travel in the time in which the express train travel 600 km?


  • Options
  • A. 400 km
  • B. 405 km
  • C. 307.25 km
  • D. 415.5 km

  • Correct Answer
  • 307.25 km 

    Explanation

    Time taken by express train to cover 75 km including stoppage
    = (60 / 100 x 75) min + = 48 min
    Time taken by express train to cover 600 km.
    = Time taken by it to cover 75 km
    = (48 / 75 x 525 ) min + (60 / 100 x 75 ) min
    = (336 + 45) min = 381
    Time taken by local train to9 cover 25 km including stoppage
    = (60 / 50 x 25) min + 1 min = 31 min
    In 31 min, distance covered = 25 km
    In(31 x 12) min. distance covered
    = (25 / 31 x 31 x 12 ) = 300 km
    In last 9 min, distance covered
    = (25 / 31 x 9 ) = 7.25 km
    ? Required total distance
    = 300 + 7.25 = 307.25 km


  • More questions

    • 1. 
      Find the present worth of a bill of Rs. 2420 due 2 years later at 10% compound interest. Also find the true discount?

    • Options
    • A. Rs. 2000, Rs. 420
    • B. Rs. 2200, Rs. 520
    • C. Rs. 2100, Rs. 460
    • D. None of these
    • Discuss
    • 2. In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

    • Options
    • A. (9, 11, 14)
    • B. (13, 15, 18)
    • C. (17, 19, 22)
    • D. (21, 23, 28)
    • Discuss
    • 3. Find the odd word/letters/numbers pair from the given alternatives.

    • Options
    • A. 41 - 72
    • B. 12 - 30
    • C. 51 - 42
    • D. 11 - 20
    • Discuss
    • 4. Find the odd man out. 253, 136, 352, 324, 631, 244

    • Options
    • A. 324
    • B. 136
    • C. 352
    • D. 631
    • Discuss
    • 5. Select the odd word from the given alternatives.

    • Options
    • A. Stream
    • B. Rivulet
    • C. River
    • D. Valley
    • Discuss
    • 6. Select the odd word from the given alternatives.

    • Options
    • A. Chair
    • B. Sofa
    • C. Couch
    • D. Television
    • Discuss
    • 7. Find the odd number in the following number series? 24, 4, 13, 41, 151, 640

    • Options
    • A. 4
    • B. 640
    • C. 41
    • D. 13
    • Discuss
    • 8. Find the odd term from the given series of numbers ? 125, 127, 130, 135, 142, 153, 165 ?

    • Options
    • A. 153
    • B. 165
    • C. 142
    • D. 127
    • Discuss
    • 9. What comes next in this sequence 196, 169, 144, 121, 100, 81, ?

    • Options
    • A. 77
    • B. 74
    • C. 67
    • D. 64
    • Discuss
    • 10. Find out the odd word/letters/number/number pair from the given alternatives.

    • Options
    • A. LJH
    • B. XUS
    • C. VTR
    • D. FDB
    • Discuss


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