Question

12 people can paint 10 identical rooms in 16 days in how many days can 8 people paint 20 such rooms​

Answer 1

STEP BY STEP EXPLANATION

To paint 10 rooms, 12 persons take = 16 days

To paint 1 room, 12 persons will take = 16/10 = 8/5 days

To paint 1 room, 1 person will take = 12 × 8/5 = 96/5 days

To paint 1 room, 8 persons will take = 1/8 × 96/5 = 12/5 days

To paint 20 rooms, 8 persons will take = 20 × 12/5 = 48 days

∴ 8 persons will take 48 days to paint 20 rooms.

Answer 2

To paint 10 rooms, 12 persons take = 16 days

To paint 1 room, 12 persons will take = 16/10 = 8/5 days

To paint 1 room, 1 person will take = 12 × 8/5 = 96/5 days

To paint 1 room, 8 persons will take = 1/8 × 96/5 = 12/5 days

To paint 20 rooms, 8 persons will take = 20 × 12/5 = 48 days

∴ 8 persons will take 48 days to paint 20 rooms.

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