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The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can paint 250 m2 in 2 days. If A and B work together, they will finish the job in
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- 6 days
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6 10 days 33 -
7 10 days 33 - 8 days
Correct Option: B
Area of the four walls and ceiling of the room
= 2h (l + b) + lb
= 2 × 10 (25 + 12) + 25 × 12
= (20 × 37 + 300) sq. metre
= (740 + 300) sq. metre
= 1040 sq. metre
Area painted by A in 1 day
| = | = 40 sq. metre | 5 |
Area painted by B in 1 day
| = | = 125 sq. metre | 2 |
Area painted by both in1 day
= (125 + 40) sq. metre
= 165 sq. metre
| ∴ Required time = | 165 |
| = | = 6 | days | ||
| 33 | 33 |
