MCQ
Numerical: Speed, Distance & Time MCQ - Practice Questions with Answers
Solve 26 Numerical: Speed, Distance & Time questions for RAS/RPSC preparation.
Practice questions
Q1Fill in the blank: A cyclist moving at 18 km/h covers 750 m in ____.
To use metres and seconds, first convert the speed. Speed in m/s = 18 × 5/18 = 5 m/s. Time = distance ÷ speed. Here the distance is 750 m, so time = 750 ÷ 5 = 150 seconds. Now convert 150 seconds into minutes: 150 seconds = 2 minutes 30 seconds. Therefore, a cyclist moving at 18 km/h will cover 750 m in 2 minutes 30 seconds.
Q2A bus covers 120 km in 2 hours. If its speed is reduced by 20 km/h, how much time will it take to cover the same distance?
First find the original speed. Speed = distance ÷ time = 120 ÷ 2 = 60 km/h. The new speed is 60 − 20 = 40 km/h. For the same distance, time = distance ÷ speed = 120 ÷ 40 = 3 hours. Since the bus becomes slower, the time must be more than 2 hours, and 3 hours fits the calculation exactly.
Q3Two cyclists start from two towns 75 km apart and ride towards each other at speeds of 12 km/h and 18 km/h. Which statement is correct?
When two persons move towards each other, their relative speed is the sum of their speeds. Here, relative speed = 12 + 18 = 30 km/h. The distance between the towns is 75 km. Time taken to meet = distance ÷ relative speed = 75 ÷ 30 = 2.5 hours. Now 0.5 hour is 30 minutes. So they will meet after 2 hours 30 minutes.
Q4A cyclist moves at a uniform speed of 12 km/h. Consider the following statements: 1. He covers 30 km in 2.5 hours. 2. He covers 9 km in 45 minutes. 3. His speed is 200 metres per minute. Which statements are correct?
Check each statement using distance = speed × time. For statement 1, time for 30 km = 30 ÷ 12 = 2.5 hours, so it is correct. For statement 2, 45 minutes = 45 ÷ 60 = 0.75 hour; distance = 12 × 0.75 = 9 km, so it is correct. For statement 3, 12 km/h = 12000 metres in 60 minutes = 200 metres per minute. Hence all three statements are correct.
Q5A train travels 144 km in 2 hours 24 minutes. What is its average speed?
Average speed is total distance divided by total time. First convert the time into hours: 2 hours 24 minutes = 2 + 24/60 = 2.4 hours. The train covers 144 km in 2.4 hours. Therefore, average speed = 144 ÷ 2.4 = 60 km/h. The calculation uses kilometres and hours throughout, so the answer is directly in km/h. Hence the train's average speed is 60 km/h.
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More questions
6A student walks 12 km to a coaching centre at 6 km/h and returns by the same route at 4 km/h. Which statement is incorrect?
7A bus travels at a constant speed of 45 km/h. How much distance will it cover in 2 hours 40 minutes?
8A cyclist rides at a constant speed of 18 km/h. Match the time taken with the distance covered.
9Assertion: A car moving at 72 km/h covers 600 m in 30 seconds. Reason: 72 km/h is equal to 20 m/s, and distance = speed × time.
10Match the speeds in List 1 with their equivalent values in List 2. List 1: 1. 36 km/h, 2. 54 km/h, 3. 72 km/h. List 2: a. 15 metres per second, b. 20 metres per second, c. 10 metres per second.
11A boat covers 60 km upstream in 4 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
12A 120-metre-long train overtakes a man running in the same direction at 6 km/h in 12 seconds. What is the speed of the train?
13A bus covers a distance of 270 km at a uniform speed of 54 km/h. How much time does it take to complete the journey?
14A train 150 m long crosses a pole in 10 seconds and a platform in 25 seconds. Which of the following statements is incorrect?
15Two runners start from two points 540 m apart and run towards each other at 5 m/s and 4 m/s. After how many seconds will they meet?