Question

12 112 men can build a railway tunnel in 72 days. How many more men will be
required to build the tunnel in 48 days?​

Answer 1

Answer:

• 56 more men will be required to build the tunnel in 48 days.

Step-by-step explanation:

Given that:

• 112 men can build a railway tunnel in 72 days.

To Find:

• How many more men will be required to build the tunnel in 48 days.

Solution:

No. of men required to finish the work in 72 days:

$\sf{= 112\;men}$

No. of men required to finish the work in 1 day:

$\sf{=(112\times72)\;men}$

$\because\sf{Less\; days\longrightarrow More\;men}$

No. of men required to finish the work in 48 days:

$\sf{=\dfrac{112\times72}{48}\;men}$

$\because\sf{More\; days\longrightarrow Less\;men}$

Reducing the numbers,

$\sf{=\dfrac{112\times3}{2}}$

$\sf{=\dfrac{56\times3}{1}=56\times3}$

Multiplying the numbers,

$\sf{=168}$

Hence, 168 men are required to build the tunnel in 48 days.

No. of men required more:

$\sf{=(168-112)\;men}$

$\sf{=56\;men}$

Hence, 56 men are required more to build the tunnel in 48 days rather than 72 days.

Answer 2

Step-by-step explanation:

Answer:

56 more men will be required to build the tunnel in 48 days.

Step-by-step explanation:

Given that:

112 men can build a railway tunnel in 72 days.

To Find:

How many more men will be required to build the tunnel in 48 days.

Solution:

No. of men required to finish the work in 72 days:

$\sf{= 112\;men}$

No. of men required to finish the work in 1 day:

$\sf{=(112\times72)\;men}$

$\because\sf{Less\; days\longrightarrow More\;men}$

No. of men required to finish the work in 48 days:

$\sf{=\dfrac{112\times72}{48}\;men}$

$\because\sf{More\; days\longrightarrow Less\;men}$

Reducing the numbers,

$\sf{=\dfrac{112\times3}{2}}$

$\sf{=\dfrac{56\times3}{1}=56\times3}$

Multiplying the numbers,

$\sf{=168}$

Hence, 168 men are required to build the tunnel in 48 days.

No. of men required more:

$\sf{=(168-112)\;men}$

$\sf{=56\;men}$

Hence, 56 men are required more to build the tunnel in 48 days rather than 72 days.