Question

If 10 men's, working 7 hours a day to get range 147 M long how many men working 8 hours a day will be get range 160 M long (of the same breadth and depth as the first in the same number of days)?

Answer 1

____________________________________
|no.of men | no.of hours | range (Mtrs) | |__________ |____________|____________|
| 10 mens | 7 hours | 147 meters |
|___________|____________|___________ |
| x ( say) | 8 hours | 160 meyers |
|___________|____________|___________ |


**** THE RELATIONSHIP BETWEEN THE NO.OF MEN TO THE NO. OF HOURS IS IN INVERSE PROPORTION ****


**** THE RELATIONSHIP BETWEEN THE NO. OF MEN TO THE RANGE IS IN DIRECT PROPORTION ****

THEREFORE ,
10:x = 8:7 :: 147:160
[take '8:7' reversly as it is in inverse proportion & take 147 : 160 normally as it is in direct proportion]

TAKE ''COMPOUND RATIO'' FORMULA :-

PRODUCT OF ANTICIDENTS : PRODUCT OF CONSEQUENTS


10:x = 8:7 :: 147 : 160

[HERE 8 AND 147 ARE ANTICIDENTS , 7 AND 160 ARE CONSEQUENTS]

10:x = 8X147 : 7X160

》 10:x = 1176 : 1120

TAKE ''PROPORTION'' FORMULA :-

》 10:x = 1176 : 1120

PRODUCT OF MEANS = PRODUCT OF EXTREMES

[HERE x AND 1176 ARE MEANS , 10 AND 1120 ARE EXTREMES]


》 x X 1176 = 10 X 1120
》 1176x = 11200
》 x = 11200 ÷ 1176
》 x = 10