Question

24 men working 6 hours a day can complete a work in 14 days. If each man works 7 hours a day, find the number of men to complete the work in 8 days?

Answer 1

Answer:

36

Step-by-step explanation:

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.

No. of workers No. of hours per day No. of days

24 6 14

?(x) 7 8

24:x 6:7 14:8=7:4

\Number of workers inversely proportional to number of hours per day.

Number of workers ∝  

numberofhoursperday

1

​  

 

24:x= inverse ratio of 6:7 i.e, 7:6

⇒ 24:x is directly proportional to 7:6

Again, number of days is inversely proportional to number of workers.

Number of workers ∝  

numberofdays

1

​  

 

24:x= inverse ratio of 7:4 i.e, 4:7

As. number of workers depends upon two variables i.e number of days and number of hours per day. Therefore,

Number of workers ∝ compound ratio of inverse ratio of number of hours per day and inverse ration of number of days.

24:x= compound ratio of 7:6 and 4:7

24:x=7×4:6×7

24:x=4:6

Product of means = product of extremes

2×x=24×3

x=36

Hence the required number of workers =36.

Answer 2

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 8

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday1

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday1

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday1

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday1 24:x= inverse ratio of 6:7 i.e, 7:6

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday1 24:x= inverse ratio of 6:7 i.e, 7:6⇒ 24:x is directly proportional to 7:6

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday1 24:x= inverse ratio of 6:7 i.e, 7:6⇒ 24:x is directly proportional to 7:6Again, number of days is inversely proportional to number of workers.

Here we have 3 quantities i.e number of workers, number of hours per day and number of days.No. of workers No. of hours per day No. of days24 6 14?(x) 7 824:x 6:7 14:8=7:4\Number of workers inversely proportional to number of hours per day.Number of workers ∝ numberofhoursperday1 24:x= inverse ratio of 6:7 i.e, 7:6⇒ 24:x is directly proportional to 7:6Again, number of days is inversely proportional to number of workers.Number of workers ∝

number

Hence the required number of workers =36.

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