Question

9 workers can complete a work in 16 days. How many men will be required to complete the same work in 4 days earlier.

Answer 1

Answer:

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Step-by-step explanation:

if 9 workers can complete a work in 16 days . it means the task requires the input of 9×16 =144 workers- days.

if the work is to be completedin 4 days it will require 144 workers-days/ 4 days =36 workers

since there are already 9 workers available you need to engage 27 more workers.

Answer 2

Given:

• 9 workers can complete a work in 16 days.

To find:

• How many men will be required to complete the same work in 4 days earlier.

Solution:

• Let's consider the number of men required to complete the same work be x.

here,

• Men = x
• 12 days.

« Now, As it is a inverse proportion equation will be ,

→ x = 9 × 16/12

Cancelling,

→ x = 4 × 3

→ x = 12

∴ Hence, 12 men are required to complete the same work in 4 days earlier.

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« Now, Let's verify it :

9 × 16 = 12 × x

→ 9 × 16 = 12 × 12

→ 144 = 144

LHS = RHS.

• Hence, Verified.

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★ More to know:

★ Proportional method: In this method, To find the multiple unit, When two ratios are equal, We can multiply the product of means with the product of extremes, To find the unknown value in those ratios.

★ Unitary method : In this method Firstly we will find the value of single unit, Then multiply it with the required number to find the required unit.