Practice Pakistan questions with answers and explanations.
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Substitute x = 2 to obtain 4 + 3y = 13.
Then 3y = 9, so y = 3.
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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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The expression is a difference of squares: x² - 3².
Thus, it factors as (x - 3)(x + 3).
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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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For equal distances, average speed is the harmonic mean 2ab/(a + b).
Thus, 2 × 40 × 60 ÷ 100 = 48 km/h.
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For equal time intervals, average speed is the arithmetic mean.
Thus, (40 + 60)/2 = 50 km/h.
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For opposite directions, relative speeds are added.
Thus, 50 + 70 = 120 km/h.
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For motion in the same direction, relative speed is the difference.
Thus, 80 - 55 = 25 km/h.
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To pass a pole, the train covers its own length.
Speed = 150 ÷ 10 = 15 m/s.
