Question

please solve this problem related to Direct and inverse variation

Answer 1

more work done    more Men  needed, means  {direct Proportion}

Let the number of men be x then, and 6 whole3/4 m =27/4 m

⇒11 : 27/4 :: x : 27

⇒11 * 27 =27/4 *x

⇒11*27/ [27/4] =x

⇒11*27*4/27 =x

⇒44 =x

∴total 44 men must wotk to complete the work of digging 27 m trench in 1 day  ANS

that means you need 44 -11 =33 extra more men to do the work

Answer 2

Let the  men be X

∴ X: 27 ::  11 : 27/4        by direct Proportion

⇒27/4 *X  =11 * 27

⇒X =11*27/ [27/4]

⇒X=44 men ans