A car travels 180 km in 3 hours. What is its speed?
Speed = Distance / Time = 180 / 3 = 60 km/hr.
A train 240 m long runs at 72 km/hr. How long will it take to cross a pole?
72 km/hr = 20 m/s. Time = Length / Speed = 240 / 20 = 12 seconds.
Two trains of length 120 m and 180 m run in opposite directions at 54 km/hr and 36 km/hr. Time to cross each other?
Total length = 300 m. Speeds: 54 km/hr = 15 m/s, 36 km/hr = 10 m/s. Relative speed = 25 m/s. Time = 300 / 25 = 12 sec.
Two trains 150 m and 250 m long run in the same direction at 60 km/hr and 40 km/hr. Time taken by faster train to cross slower train?
Total length = 400 m. Relative speed (same direction) = 20 km/hr = 20 × 5/18 = 5.56 m/s. Time = 400 / 5.56 ≈ 72 sec. (Correct calculation gives 72 sec; adjust options if needed).
A man travels a certain distance at 60 km/hr and returns at 40 km/hr. What is the average speed?
Average speed (equal distance) = 2ab / (a + b) = 2×60×40 / 100 = 48 km/hr.
A boat goes 30 km downstream in 2 hours and returns upstream in 3 hours. What is the speed of the boat in still water?
Downstream speed = 30/2 = 15 km/hr. Upstream speed = 30/3 = 10 km/hr. Boat speed = (15 + 10)/2 = 12.5 km/hr. (Closest option adjust if needed).
If a person increases his speed by 25%, how much percent does his time decrease?
Time decrease = x / (100 + x) × 100 = 25/125 × 100 = 20%.
A train 180 m long crosses a platform 120 m long in 15 seconds. What is its speed?
Total distance = 180 + 120 = 300 m. Speed = 300 / 15 = 20 m/s = 72 km/hr.
Two persons start from the same point in opposite directions at 5 km/hr and 7 km/hr. How far apart will they be after 3 hours?
Relative speed = 5 + 7 = 12 km/hr. Distance = 12 × 3 = 36 km.
A person covers half the distance at 40 km/hr and the remaining half at 60 km/hr. What is the average speed?
Equal distances → Average speed = 2ab / (a + b) = 2×40×60 / 100 = 48 km/hr.
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