A train passes a 110-meter long bridge in 12 seconds and a standard sign post in 7 seconds. Find the length of the train. MCQ with Answer and Explanation
A train passes a 110-meter long bridge in 12 seconds and a standard sign post in 7 seconds. Find the length of the train.
A. 140 meters
B. 175 meters
C. 154 meters
D. 160 meters
Answer: Option C
Solution (By JKSSB Mock Tests)
Time taken to cross the bridge alone = 12 - 7 = 5 seconds. Speed of train = 110 / 5 = 22 m/s. Length of train = Speed * Time to cross sign post = 22 * 7 = 154 meters.
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?
Explanation:
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.
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