Two trains A and B start at the same time from Delhi and Mumbai respectively towards each other. They met after 16 hours. If the distance between Delhi and Mumbai is 1872 km and train A runs 27 km/h faster than train B, what is the speed of train B?
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45 km/h
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48 km/h
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58 km/h
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64 km/h
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72 km/h
A
Correct answer
Explanation
Let train B's speed be s km/h, so train A's speed is s + 27 km/h. Relative speed (when moving towards each other) = s + (s + 27) = 2s + 27 km/h. Distance covered when they meet = 1872 km in 16 hours, so relative speed = 1872/16 = 117 km/h. Therefore: 2s + 27 = 117, giving 2s = 90 and s = 45 km/h. Train B's speed is 45 km/h.