Algebra, arithmetic, reasoning.
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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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Travel time is 210 ÷ 70 = 3 hours.
Three hours after 8:00 a.m. is 11:00 a.m.
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The discriminant is b² - 4ac.
Here it is 4² - 4(1)(1) = 16 - 4 = 12.
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The taxed price is 115% of the original price.
So the original is 2,300 ÷ 1.15 = Rs. 2,000.
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The net hourly rate is 1/4 - 1/12.
This equals 2/12 = 1/6.
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Time equals distance divided by speed.
Thus, 12 ÷ 4 = 3 hours.
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Their closing speed is 20 + 25 = 45 km/h.
Time = 90 ÷ 45 = 2 hours.
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A zero discriminant makes the square-root term in the formula zero.
Both solutions therefore coincide.
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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.
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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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The path forms a right triangle with legs 5 and 12.
By Pythagoras, distance is √(25 + 144) = 13 km.
