MCQ
Speed, Distance and Time MCQ - Practice Questions with Answers
Solve 12 Speed, Distance and Time questions for RAS/RPSC preparation.
Practice questions
Q1A mail train 360 m long running at 108 km/h overtakes a goods train running at 72 km/h completely in 54 seconds. How many seconds would the trains take to cross each other if they ran in opposite directions at the same speeds?
Same-direction relative speed is 108−72=36 km/h=36×5/18=10 m/s, so the trains' combined length is 10×54=540 m. Opposite relative speed is 108+72=180 km/h=180×5/18=50 m/s. Time to cross each other is therefore 540/50=10.8 s.
Q2A 180 m long goods rake clears a 270 m platform in 36 seconds. The speed of the rake is:
To clear the platform the rake must cover its own length plus the platform, so the distance is 180 + 270 = 450 m. Speed = 450/36 = 12.5 m/s. Converting to km/h: 12.5 × (18/5) = 45 km/h.
Q3On parallel tracks, trains of lengths 140 m and 160 m cross each other in 12 s when moving in opposite directions and in 48 s when moving in the same direction. The speed of the faster train is:
Combined length is 140 + 160 = 300 m. Opposite relative speed = 300/12 = 25 m/s; same-direction relative speed = 300/48 = 6.25 m/s. If u and v are the speeds with u > v, then u + v = 25 and u − v = 6.25, so 2u = 31.25 and u = 15.625 m/s. In km/h this is 15.625 × (18/5) = 56.25 km/h.
Q4A courier van goes from depot P to warehouse Q at 40 km/h and returns along the same road at 60 km/h. Its average speed for the round trip is:
For equal outbound and return distances the average speed is the harmonic mean 2ab/(a + b). Substituting a = 40 and b = 60 gives 2 × 40 × 60 / 100 = 48 km/h.
Q5A boat's speed in still water is 12 km/h and the stream flows at 4 km/h. How far can the boat travel downstream in 45 minutes?
Downstream speed = 12 + 4 = 16 km/h. Time = 45/60 = 0.75 h. Distance = 16 × 0.75 = 12 km.
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More questions
6A motorboat needs 3 hours to go 24 km upstream and only 2 hours for the same stretch downstream. The speed of the current is:
7Train A is 250 m long and runs at 90 km/h. It crosses train B, which runs at 54 km/h in the opposite direction, in 20 seconds. The length of train B is:
8How many seconds does a 210 m train running at 72 km/h take to pass a stationary signal post?
9An express 320 m long travelling at 72 km/h is overtaken by a faster express 280 m long travelling at 108 km/h. The overtaking lasts:
10A steamer covers 8 km downstream in 40 minutes and returns the same 8 km upstream in 1 hour 20 minutes. Its speed in still water is:
11In still water a launch travels at 15 km/h. Against a 3 km/h current, the time needed to cover 36 km upstream and return the same distance downstream is:
12A boat whose speed in still water is 16 km/h travels 48 km downstream and returns the same distance against a stream of 4 km/h. The average speed of the boat for the entire journey is