## km/hr to m/s conversion: a km/hr = a x 5 m/s. 18 m/s to km/hr conversion: a m/s = a x 18 km/hr. 5 Formulas for finding Speed, Time and Distance Time taken by a train of length l metres to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l metres. Time taken by a train of length l metres to pass a stationery object of length b metres is the time taken by the train to cover (l + b) metres. Suppose two trains or two objects bodies are moving in the same direction at u m/s and v m/s, where u > v, then their relative speed is = (u - v) m/s. Suppose two trains or two objects bodies are moving in opposite directions at u m/s and v m/s, then their relative speed is = (u + v) m/s. If two trains of length a metres and b metres are moving in opposite directions at u m/s and v m/s, then: The time taken by the trains to cross each other = (a + b) sec. (u + v) If two trains of length a metres and b metres are moving in the same direction at u m/s and v m/s, then: The time taken by the faster train to cross the slower train = (a + b) sec. (u - v) If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a) A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? A. 3.6 B. 7.2 C. 8.4 D. 10 Answer: Option B An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of: A. 300 kmph B. 360 kmph C. 600 kmph D. 720 kmph Answer: Option D If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is: A. 50 km B. 56 km C. 70 km D. 80 km Answer: Option A A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is: A. 100 kmph B. 110 kmph C. 120 kmph D. 130 kmph Answer: Option C Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour? A. 9 B. 10 C. 12 D. 20 Answer: Option B

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