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  • Question
  • 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?


  • Options
  • A. 10
  • B. 13
  • C. 14
  • D. 15

  • Correct Answer
  • 13 

    Explanation
    Let the required number of days be x

    Less persons, More days (Indirect Proportion)

    More working hours per day, Less days (Indirect Proportion)

    Persons 30 : 39 ] :: 12 : x
    Working hours/day 6 : 5

    ∴ 30 x 6 x x = 39 x 5 x 12

    x = (39 x 5 x 12)
    (30 x 6)

    x = 13.


  • Chain Rule problems


    Search Results


    • 1. A man completes 5⁄8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job?

    • Options
    • A. 5
    • B. 6
    • C. 7
    • D. 7 12
    • Discuss
    • 2. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:

    • Options
    • A. 29 15
    • B. 37 14
    • C. 42
    • D. 54
    • Discuss
    • 3. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

    • Options
    • A. 48 paise
    • B. 54 paise
    • C. 56 paise
    • D. 72 paise
    • Discuss
    • 4. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

    • Options
    • A. 648
    • B. 1800
    • C. 2700
    • D. 10800
    • Discuss
    • 5. If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?

    • Options
    • A. Rs. (xyd)
    • B. Rs. (xd)
    • C. Rs. (yd)
    • D. Rs. (ydx)
    • Discuss
    • 6. A man can row three-quarters of a kilometre against the stream in 11¼ minutes and down the stream in 7½ minutes. The speed (in km/hr) of the man in still water is:

    • Options
    • A. 2
    • B. 3
    • C. 4
    • D. 5
    • Discuss
    • 7. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:

    • Options
    • A. 8.5 km/hr
    • B. 9 km/hr
    • C. 10 km/hr
    • D. 12.5 km/hr
    • Discuss
    • 8. A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back, how far is the place?

    • Options
    • A. 2.4 km
    • B. 2.5 km
    • C. 3 km
    • D. 3.6 km
    • Discuss
    • 9. A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?

    • Options
    • A. 4 km/hr
    • B. 6 km/hr
    • C. 8 km/hr
    • D. Data inadequate
    • Discuss
    • 10. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:

    • Options
    • A. 4
    • B. 5
    • C. 6
    • D. 10
    • Discuss


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