Practice HAT questions with answers and explanations.
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Upstream speed equals still-water speed minus stream speed.
Thus, 10 - 2 = 8 km/h.
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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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In the same time, the faster runner covers 1,000 m while the slower covers 900 m.
Their speed ratio is therefore 1,000:900 = 10:9.
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Distance equals speed multiplied by time.
Thus, 72 × 2.5 = 180 km.
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Time is inversely proportional to speed.
The decrease is 1 - 50/60 = 1/6 = 16 2/3%.
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Their combined rate is 1/8 + 1/12 = 5/24 tank per hour.
Time is 24/5 = 4.8 hours.
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The net rate is 1/10 - 1/15 = 1/30 tank per hour.
Therefore, the tank fills in 30 hours.
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The net hourly rate is 1/4 - 1/12.
This equals 2/12 = 1/6.
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Three taps together have three times the rate of one tap.
One tap therefore takes 3 × 6 = 18 hours.
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The remaining part is 3/4 of the tank.
At 8 hours per full tank, 3/4 takes 6 hours.
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Daily wage equals total earnings divided by days worked.
Thus, 3,600 ÷ 12 = Rs. 300.
