Question

4. Ir 16 workers can build a wall in 75 days, how many workers can build it in 8
days?​

Answer 1

GiveN:

• If 16 workers can build a wall in 75 days.

To FinD:

• How many workers can build it in 8 days?

Required Solution:

In 75 days, wall can be build by 16 workers.

In one day, wall can be build by (16 × 75) workers.

⇛In 8 days, wall can be build by :

⇛⠀⠀⠀(16 × 75/8)

⇛⠀⠀⠀⠀1200/8

⇛⠀⠀⠀⠀⠀150

• Hence, In 8 days, wall can be build by 150 workers.

___________________________________________

Alternative Method:

⠀⠀No. of workers ⠀⠀⠀⠀⠀No.of days

⠀⠀⠀⠀16⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀75

⠀⠀⠀⠀x⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀8

$\therefore$ ⠀⠀⠀⠀⠀16 × 75 = x × 8 ⠀⠀⠀⠀⠀⠀⠀(Inverse Proportion)

➟⠀⠀⠀⠀⠀$\sf \: x = \dfrac{16 \times 75}{8}$

➟⠀⠀⠀⠀⠀x = 2 × 75

➟⠀⠀⠀⠀⠀x = 150

• Hence, 150 workers are required