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10 men, working 6 hours a day can complete a work in 18 days. How many hours a day must 15 men work to complete the work in 12 days ?

  • 4 hours a day
  • 5 hours a day
  • 6 hours a day
  • 7 hours a day

Answer: Option C

Explanation:


More Men, Less Hours {Indirect Proportion}
Less Days, More Hours {Indirect Proportion}
[Men1510Days1218]::6:x=>x∗15∗12=10∗18∗6=>x=10∗18∗615∗12=>x=6

Similar Questions :

1. If 16 toys cost 240, then what do 40 toys cost ?

  • Rs. 600
  • Rs. 620
  • Rs. 640
  • Rs. 660

Answer: Option C

Explanation:

Although we can first calculate the cost of one toy and then can multiply it with 40 to get the result.
but we will solve it with chain rule so that we can prepare ourself for other complex problems which we can solve easily by applying this rule.

Let the required cost be Rs. x
More toys means More Cost. (Direct Proportion)

15:40::240:x=>x=240∗4015=>x=640



So 40 toys will cost Rs 640

2. If the price of 23 toys is 276, then what will the price of 12 toys ?

  • 144
  • 148
  • 156
  • 186

Answer: Option A

Explanation:

Less toys, Less Price (Direct Proportion)
So, let the price be Rs. x
then,
23:12::276:x=>x=276∗1223=>x=144



So price of 12 toys will be Rs. 144

3. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal ?

  • 38 men
  • 32 men
  • 34 men
  • 30 men

Answer: Option D

Explanation:

There is meal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children = 120 men

So, 50 Children = 120/200 * 50 = 30 men

4. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ?

  • 34 days
  • 40 days
  • 46 days
  • 50 days

Answer: Option B

Explanation:

Less Cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)

[Cows140Bags401]::40:x=>x∗40∗1=40∗1∗40=>x=40


5. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?

  • 24 days
  • 28 days
  • 34 days
  • 35 days

Answer: Option A

Explanation:

Less Men, means more Days {Indirect Proportion}

Let the number of days be x
then,

27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]

x=36∗1827x=24


So 24 days will be required to get work done by 27 men.

Read more from - Chain Rule Questions Answers
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