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Rishi and Subhas can clean a circular playground in 6 days. In how many days will Subhas clean the playground alone if Rishi can clean one quadrant of the ground in 6 days?

Rishi and Subhas can clean a circular playground in 6 days. In how many days will Subhas clean the playground alone if Rishi can clean one quadrant of the ground in 6 days? Correct Answer 8 days

Given-

Time taken by Subhas and Rishi = 6 days

Formula Used-

Total Work = Efficiency of worker × Time

Concept Used- 

Area of a quadrant of a circle = 1/4 × Area of Circle

Calculation- 

Let time taken by Subhas alone = x

∴ In one day Subhas can clean 1/x part of ground.

Time taken by Rishi to clean one quadrant of the ground = 6 days

∴ Time taken by Rishi to clean the complete ground = 6 × 4 

⇒ 24 days

∴ In one day Rishi can clean 1/24 part of ground.

Again, Time taken by Subhas and Rishi = 6 days

∴ In one day Rishi and Subhas can clean 1/6 part of ground.

According to question-

1/6 = 1/x + 1/24

⇒ 1/6 = (24 + x)/24x

⇒ 4x = 24 + x

⇒ x = 8

∴ Subhas can clean the playground alone in 8 days.

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