MCQ
Time, work, speed, distance and trains MCQ - Practice Questions with Answers
Solve 10 Time, work, speed, distance and trains questions for RAS/RPSC preparation.
Practice questions
Q1Match the train situation with the distance that must be covered. List I: 1. A train crosses a pole 2. A train crosses a platform 3. Two trains completely cross each other 4. A train crosses a tunnel List II: a. Train length + tunnel length b. Sum of both train lengths c. Train length only d. Train length + platform length Choose the correct code.
The train rule first asks what length is being crossed. A pole or standing person is a point object, so the train covers only its own length. A platform, bridge or tunnel has length, so the train must cover its own length plus that object's length. When two trains completely pass each other, the gap equal to both train lengths must be cleared. Therefore the correct matching is pole with train length only, platform with train plus platform, two trains with their total length, and tunnel with train plus tunnel.
Q2Consider the following statements about time and work. Statement 1: If A can finish a job in 12 days, A's one-day work is 1/12 of the job. Statement 2: If A and B finish the same job separately in 12 and 18 days, their combined one-day work is 1/12 + 1/18. Which of the statements is/are correct?
The full job is treated as 1 unit. A person who completes a job in n days has one-day work equal to 1/n of the job, so a 12-day worker's rate is 1/12 per day. For joint work, individual one-day rates are added, not the number of days. Therefore, workers taking 12 and 18 days separately have a combined daily rate of 1/12 + 1/18. Both statements correctly apply the same method.
Q3A 180 m long train is moving at 54 km/h. How much time will it take to cross a pole?
For a train crossing a pole, the covered distance is only the train's own length, because the pole is treated as a point object. The length is 180 m, so the speed must be in m/s. Convert 54 km/h by multiplying by 5/18: 54 x 5/18 = 15 m/s. Time equals distance divided by speed, so 180/15 = 12 seconds. A platform length is not added here.
Q4Assertion (A): Two cyclists moving towards each other at 12 km/h and 15 km/h close the gap at 27 km/h. Reason (R): In opposite directions, relative speed is the sum of the two speeds. Which choice correctly describes A and R?
There is the relative-speed rule: when two moving objects travel in opposite directions, their speeds are added. Two cyclists moving towards each other at 12 km/h and 15 km/h are in opposite directions, so the gap closes at 12 + 15 = 27 km/h. The assertion states this exact closing rate, and the reason gives the rule that produces it. Therefore both statements are true and the reason correctly explains the assertion.
Q5Statement 1: For equal distances covered at speeds a and b, the average speed is 2ab/(a + b). Statement 2: A person goes 60 km at 30 km/h and returns 60 km at 60 km/h. Using these statements, what is the average speed for the whole journey?
For equal distances, average speed is not the simple average of the two speeds. It is 2ab/(a + b), where a and b are the two speeds. Here the two equal distances are 60 km each, and the speeds are 30 km/h and 60 km/h. So the average speed is 2 x 30 x 60/(30 + 60) = 3600/90 = 40 km/h. The simple average, 45 km/h, is the common trap.
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More questions
6Match List I with List II for pipe-and-cistern questions. List I: 1. Filling pipe 2. Emptying pipe or leak 3. Tank already half full 4. Two filling pipes opened together List II: P. Positive rate Q. Negative rate R. Remaining work is 1/2 S. Add the two filling rates
7A vehicle moves at 48 km/h for 30 minutes. How much distance does it cover?
8A person travels 60 km at 30 km/h and returns 60 km at 60 km/h. Which average speed is correct for the whole trip?
9A can finish a job in 10 days and B can finish the same job in 15 days. Working together, in how many days will they finish the job?
10Assertion (A): If a filling pipe and an emptying pipe are opened together, the net rate is found by subtracting the emptying rate from the filling rate. Reason (R): In pipe-and-cistern questions, filling rates are positive and emptying rates are negative. Choose the correct answer.