Verified by Ajay Kumar
A bus starts 30 minutes late and to reach its destination 150 km away on time, it increases its speed by 25 km/h. What is the usual speed of the bus?
70 km/h
75 km/h
80 km/h
95 km/h
Answer: B
Let the usual speed be x km/h. Then 150/x - 150/(x + 25) = 1/2. Simplifying, x(x + 25) = 7500, so x² + 25x - 7500 = 0. The positive solution is x = 75 km/h.
एक बस 30 मिनट देरी से चलती है और 150 किमी दूर अपने गंतव्य तक समय पर पहुँचने के लिए अपनी गति 25 किमी/घंटा बढ़ा देती है। बस की सामान्य गति क्या है?
70 किमी/घंटा
75 किमी/घंटा
80 किमी/घंटा
95 किमी/घंटा
उत्तर: B
सामान्य गति x किमी/घंटा मानें। तब 150/x - 150/(x + 25) = 1/2। सरल करने पर x(x + 25) = 7500, अर्थात x² + 25x - 7500 = 0। धनात्मक हल x = 75 किमी/घंटा है।
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