Two cars leave a location simultaneously at a right angle to each other. Their speeds are 36 km/h and 48 km/h respectively. Find the direct distance between them after 15 minutes. MCQ with Answer and Explanation
Two cars leave a location simultaneously at a right angle to each other. Their speeds are 36 km/h and 48 km/h respectively. Find the direct distance between them after 15 minutes.
A. 20 km
B. 15 km
C. 18 km
D. 12 km
Answer: Option B
Solution (By JKExamLibrary)
Time = 15 minutes = 0.25 hours. Distance covered by first car = 36 * 0.25 = 9 km. Distance covered by second car = 48 * 0.25 = 12 km. Since they travel at right angles, distance between them = sqrt(9^2 + 12^2) = sqrt(81 + 144) = sqrt(225) = 15 km.
Excluding operational corridor stops, the speed of an inter-provincial bus is 60 km/h, and including stops it tracks at 48 km/h. How many minutes does it stop per hour?
Explanation:
The train takes 12 seconds to cross its own length and 24 seconds to cross its own length plus the bridge. Therefore, it takes 24 - 12 = 12 seconds to cross the 240-meter bridge. Speed = 240 / 12 = 20 m/s. Length of train = Speed * Time to cross pole = 20 * 12 = 240 meters.
Two trains 140 meters and 160 meters long are running in opposite directions at speeds of 50 km/h and 58 km/h respectively. In what time will they cross each other?
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