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By increasing the speed of a car by 10 km/hr, the time of jour

Question

By increasing the speed of a car by $10 km / h r$ , the time of journey for a distance of $72 km$ is reduced by $36$ minutes. Write an equation for the given information and check if it is a Quadratic Equation?

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By increasing the speed of a car by

10 km / h r

, the time of journey for a distance of

72 km

is reduced by

36

minutes. Write an equation for the given information and check if it is a Quadratic Equation?

9 mins ago

Discuss this question LIVE

9 mins ago

Text solutionVerified

let the speed be

x km / h r

\frac{72}{x} - \frac{72}{x + 10} = \frac{36}{60} \frac{1}{x} - \frac{1}{x + 10} = \frac{1}{120} \frac{x + 10 - x}{x ^{2} + 10 x} = \frac{1}{120} x^{2} + 10 x = 1200 x^{2} + 10 x - 1200 = 0 (x + 40) (x - 30) = 0

∴ x = 30 km / h r

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Question Text	By increasing the speed of a car by $10 km / h r$ , the time of journey for a distance of $72 km$ is reduced by $36$ minutes. Write an equation for the given information and check if it is a Quadratic Equation?
Answer Type	Text solution:1
Upvotes	150