Question

270men were to finish a piece of work in 14 days. But some men fell sick and the remaining men could complete the work in 21 days. How many men fell sick.​

Answer 1

Answer:no of men required to finish a work in 14 days=270

Let the no. Of men sick be x

No.of men that can complete the work in 21 days=270×14/21(inverse proportion)

=180 men fell sick

=180

Step-by-step explanation:

Hope this helps you

Answer 2

Answer:

The workers who were ill are 90.

Step-by-step explanation:

Given :

Men = 270

Completed the work in = 14 days

Remaining men did the work in = 21 days

To find :

Number of the men fell ill = ?

Solution :

Let the number of men who did the work in 21 days be n

Men  (x)   270  n

Days (y)    14    21

Inverse Variation -

$x * y = K$

⇒ $270 * 14 = n *21$

⇒ $3780 = 21n$

⇒ $n = \frac{3780}{21}$

⇒ $n = 180$

∴Number of men = 180

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★ Workers who were ill -

As 180 did the work in 21 days, subtract it from total workers.

⇒ $270 - 180$

⇒ $90$

Ill workers = 90

∴The workers who were ill are 90.

Hope it helps u dear!!