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Home Aptitude Time and Distance See What Others Are Saying!
  • Question
  • It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:


  • Options
  • A. 2 : 3
  • B. 3 : 2
  • C. 3 : 4
  • D. 4 : 3

  • Correct Answer
  • 3 : 4 

    Explanation
    Let the speed of the train be x km/hr and that of the car be y km/hr.

    Then, 120 + 480 = 8       ⟹ 1 + 4 = 1 ....(i)
    x y x y 15

    And, 200 + 400 = 25     ⟹ 1 + 2 = 1 ....(ii)
    x y 3 x y 24

    Solving (i) and (ii), we get: x = 60 and y = 80.

    ∴ Ratio of speeds = 60 : 80 = 3 : 4.


    More questions

    • 1. 
      If a : b = 2 : 3 and 2 : a =1 : 2, then the value of 'b' is?

    • Options
    • A. 4
    • B. 6
    • C. 1 / 3
    • D. 3 / 2
    • Discuss
    • 2. 
      0.6 of a number equals 0.09 of another number. The ratio of the number is?

    • Options
    • A. 2 : 3
    • B. 1 : 15
    • C. 20 : 3
    • D. 3 : 20
    • Discuss
    • 3. 
      If a/3 = b/8, then ( a + 3 ) : ( b + 8 ) is equal to?

    • Options
    • A. 3 : 8
    • B. 8 : 3
    • C. 5 : 8
    • D. 3 : 5
    • Discuss
    • 4. 
      4, 19, 49,?, 229

    • Options
    • A. 75
    • B. 109
    • C. 65
    • D. 169
    • Discuss
    • 5. 
      777777 / 11 =?

    • Options
    • A. 7077
    • B. 70707
    • C. 7707
    • D. 7007
    • Discuss
    • 6. 
      Find the cardinal number of the following set {x: x is a natural number ? 30 and is divisible by 7 or 11}

    • Options
    • A. 4
    • B. 8
    • C. 6
    • D. 2
    • Discuss
    • 7. 
      SBI lent ? 1331 lakh to the TATA group at compound interest and got ?1728 lakh after 3 yr. What is the rate of interest charged, if compounded annually?

    • Options
    • A. 11%
    • B. 9.09%
    • C. 12%
    • D. 8.33%
    • Discuss
    • 8. 
      The sum of two numbers is 10. Their product is 20. Find the sum of the reciprocals of the two numbers.

    • Options
    • A. 1
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    • C. 1/2
    • D. 11//6
    • Discuss
    • 9. 
      5 men and 6 women can earn ? 2160 in 4 days. 8 men and 10 women can earn ? 4400 in 5 days. In how many days can 4 men and 9 women earn ? 1800?

    • Options
    • A. 3
    • B. 4
    • C. 5
    • D. 6
    • Discuss
    • 10. 
      A train 110 metres long travels at 60 km/hr. How long does it take to cross a telegraph post?

    • Options
    • A. 5 sec.
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    • C. 6.6 sec
    • D. 6.8 sec
    • Discuss


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