The speed of two express locomotives are in the ratio 5 : 6. If the second locomotive maps 480 km in 4 hours, find the speed of the first locomotive. MCQ with Answer and Explanation
The speed of two express locomotives are in the ratio 5 : 6. If the second locomotive maps 480 km in 4 hours, find the speed of the first locomotive.
A. 90 km/h
B. 100 km/h
C. 120 km/h
D. 110 km/h
Answer: Option B
Solution (By JKSSB Mock Tests)
Speed of the second locomotive = 480 / 4 = 120 km/h. Ratio is 5:6, so 6 parts = 120 km/h => 1 part = 20 km/h. Speed of the first locomotive = 5 parts = 5 * 20 = 100 km/h.
Two cars start from the same spot and travel along perpendicular roads. One travels at 15 km/h and the other at 20 km/h. Find the distance between them after 2 hours.
Explanation:
In 2 hours, the first car travels 30 km and the second car travels 40 km. Direct distance = sqrt(30^2 + 40^2) = sqrt(900 + 1600) = sqrt(2500) = 50 km.
Explanation:
Speed of the second train = 300 / 3 = 100 km/h. Speed ratio is 4:5, so 5 parts = 100 km/h => 1 part = 20 km/h. Speed of the first train = 4 parts = 4 * 20 = 80 km/h.
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