Two distinct points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at constant speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car? MCQ with Answer and Explanation
Two distinct points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at constant speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?
A. 45 km/h
B. 55 km/h
C. 60 km/h
D. 50 km/h
Answer: Option C
Solution (By JKSSB Mock Tests)
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
A motorboat tracks 48 km downstream in 3 hours and handles the same route upstream back to the origin line in 6 hours. Find the baseline speed of the boat hull in still water.
Explanation:
Relative speed = 140 / 12 = 35/3 m/s = (35/3) * (18/5) = 42 km/h. Since both walk/move in the same direction, Relative Speed = Speed of train - Speed of pedestrian => 42 = Speed of train - 4 => Speed of train = 46 km/h.
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