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A wall of 100 meter can be built by 7 large robots or 10 small robots in 10 days. How many days will 14 large robots and 20 small robots take to build a wall of 600 meter?

A wall of 100 meter can be built by 7 large robots or 10 small robots in 10 days. How many days will 14 large robots and 20 small robots take to build a wall of 600 meter? Correct Answer 15

Given,

Wall length = 100 meter,

7 large robots and 10 small robots = 10 days

Wall length = 600 meter,

14 large robots and 20 small robots = ?

Efficiency of 14 large robots and 20 small robots

= (14 × 10) + (20 × 7)

= 140 + 140

= 280

Efficiency of 7 large robots and 10 small robots = 10 days

Then,

Let the number of days required to complete 600 meter wall by14 large robots and 20 small robots.

⇒ /100 = (280 × a)/600

⇒ 280 × a = 4200

⇒ a = 4200/280

⇒ a = 15

∴15 days will be required to complete 600 meter wall.

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