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  • Question
  • 4 men and 6 woman get ? 1600 by doing a piece of work in 5 days. 3 men and 7 women get ? 1740 by doing the same work in 6 days. In how many days, 7 men and 6 women can complete the same work getting ? 3760?


  • Options
  • A. 6 days
  • B. 8 days
  • C. 10 days
  • D. 12 days

  • Correct Answer
  • 8 days 

    Explanation

    ? In 5 days , (4 men + 6 women ) get ? 1600.
    ? In 1 day, (4 men + 6 women) get ? 1600/5 = ? 320 ....(i)

    In 1 day number of person to get ? 1 = 320 / 4 men + 6 women ....(ii)

    Similarly, in second condition,
    In 1 day, number of person to get ? 1 = (1740 / 6) x (3 men + 7 women)
    = 290 / (3 men + 7 women) ....(iii)

    From Eqs. (ii) and (iii), we get
    320 / (4 men + 6 women) = 290 / (3 men + 7 women)
    96 men + 224 women = 116 men + 174 women
    ? 20 men = 50 women
    ? Man / Women = 5/2
    ? 1 women = 2/5 man
    From Eq. (i), 1 day,
    (4 men + 6 women) = (4 men + 6 x 2/5 men) = 32/5 men get ? 320
    ? In 1 day, 1 man get = 320 x 5 /32 = ? 50
    ? In 1 day, 1 woman get = 50 x 2/5 = ? 20
    ? In 1 day, (7 men + 6 women) get
    7 x 50 + 6 x 20 = ? 470
    ? Required number of days = 3760 / 470 = 8 days


  • More questions

    • 1. Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:

    • Options
    • A. 2 : 3
    • B. 4 : 3
    • C. 6 : 7
    • D. 9 : 16
    • Discuss
    • 2. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

    • Options
    • A. 40 sec
    • B. 42 sec
    • C. 45 sec
    • D. 48 sec
    • Discuss
    • 3. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is:

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    • A. 45 m
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    • 4. If the number 91876 * 2 is completely divisible by 8, then the smallest whole number in place of * will be:

    • Options
    • A. 1
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    • E. None of these
    • Discuss
    • 5. A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:

    • Options
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    • Discuss
    • 6. The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

    • Options
    • A. 3
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    • Discuss
    • 7. (17)3.5 x (17)? = 178

    • Options
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    • 8. 
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    • Options
    • A. 1
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    • Discuss
    • 9. 
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    • Options
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    • 10. 
      In a circus there was a leopard and a tiger walking in the two different rings of same radii. There I observed that when leopard moved 3 steps, tiger moved 5 steps in the same time,but the distance traversed by leopard in 5 step is equal to the distance traversed by tiger in 4 steps. what is the number of rounds that a leopard made when tiger completed 100 rounds?

    • Options
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