Practice ECAT questions with answers and explanations.
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Downstream speed equals still-water speed plus stream speed.
Thus, 12 + 3 = 15 km/h.
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If 40% takes 12 days, 10% takes 3 days.
The remaining 60% takes 18 days.
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Upstream speed equals still-water speed minus stream speed.
Thus, 10 - 2 = 8 km/h.
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The leak rate is 1/9 - 1/12 = 1/36 tank per hour.
Thus, the leak alone empties the tank in 36 hours.
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Downstream speed is 15 km/h and upstream speed is 10 km/h.
Still-water speed is their average: 12.5 km/h.
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Speed equals distance divided by time.
Thus, 180 ÷ 3 = 60 km/h.
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Distance equals speed multiplied by time.
Thus, 72 × 2.5 = 180 km.
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To convert km/h to m/s, multiply by 5/18.
Thus, 54 × 5/18 = 15 m/s.
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To convert m/s to km/h, multiply by 18/5.
Thus, 20 × 18/5 = 72 km/h.
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Time equals distance divided by speed.
Thus, 12 ÷ 4 = 3 hours.
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Each year, 90% of the previous value remains.
Thus, 50,000 × 0.9² = Rs. 40,500.
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Three taps together have three times the rate of one tap.
One tap therefore takes 3 × 6 = 18 hours.
