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Timework1

0. Meera paints walls for a living. She sometimes has Ashok to work with her. Meera takes 2 days to paint a 10 ft by 10 ft wall. Ashok takes 3 days to do the same job. Meera has to pay Ashok for his work on a per day basis, so she'd rather do without him. Meera has recently got a contract to paint the walls and ceiling of a room of dimensions 10 ft by 15 ft and a height of 10 ft. She had promised to do the job within 9 days. For how many days does she need to employ Ashok?

  • Option : D
  • Explanation :
    Total area to be painted
    = 10 x 15 (ceiling) + 2 x 10 x 10 (wall) + 2 x 10 x 15 (wall)
    = 650 sq.ft
    In one day Meera can paint 10 x 10/2 = 50 sq ft
    Ashok can paint 10 x 10/3 = 100/3 sq ft,
    So, together they can paint 250/3 sq ft per day.
    Let number of days Ashok works be x.
    Work done in 9 days = 50(9 - x) + (250/3)x = 650
    ∴ 450 - 50x + (250x/3) = 650
    ⇒ 250x/3 = 200
    ⇒ x = 6 days.
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