Solve problems on Chain rule today



Solve problems on Chain rule today!!



Introduction

Are you worried about solving difficult sums in the chain rule? Make it very easy with the help of Nithra Jobs. Without any struggles, now easily learn and get the jobs!

1. A garrison is provided with a ration for 90 soldiers to last for 70 days. For how much more time would the whole ration last if 10 additional soldiers join them after 20 days?

Answer: 45 days

Explanation:

Let the whole ration now lasts for x days.

Equating the consumption on both sides, we get (90 * 70) = (90 * 20) + (100 * x) 6300 = 1800 + 100x

100x = 6300 - 1800

100x = 4500

x = 4500 / 100

x = 45 days.


2. A man can walk a certain distance at a uniform speed in 100 days. How long will it take him to cover twice the distance at half the normal speed?

Answer: 400 days

Explanation:

Earlier time = 100 days.

Distance is doubled and speed is reduced to half.

Time will become 2 * 2 i.e. 4 times.

Hence now it will take 100 * 4 = 400 days.


3. 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

Answer: 12

Explanation:

Let the required number of working hours per day be x.

More pumps, Less working hours per day (Indirect Proportion) Less days, More working hours per day (Indirect Proportion) Pumps => 4 : 3 :: 8 : x

Days => 1 : 2

4 * 1 * x = 3 * 2 * 8

x = (3 * 2 * 8) / (4)

x = 48 / 4

x = 12


4. 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?

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 * 6 * x = 39 * 5 * 12

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

x = 13


Conclusion

We have given some of the problems to practice, which makes you to think more and improve the creativity and thinking abilities, which should be helful for your career growth! Start solving now on Nithra Jobs!

Problems for practice:

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?

2. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

3. 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?

4. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:

5. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?


Share :