This time, we have covered the top 50 most important questions on Time, Speed, and Distance for the Sainik School, Navodaya Vidyalaya, RIMC, and RMS Class 6 entrance exams. We have prepared this MCQ set after carefully analyzing previous years’ question papers and patterns. You can note down your answers on paper or in a notebook, or use our free OMR sheets for better practice and check them with the answers provided at the end.
Sainik School, RIMC & RMS Entrance Exam
The Sainik School, RIMC, and RMS Entrance Exams help students get admission into special schools that prepare them for a future in the defense forces. These exams test subjects like Math, English, General Knowledge, and Intelligence. Sainik Schools admit students in Class 6 and Class 9, while RIMC (Rashtriya Indian Military College) takes students in Class 8. RMS (Rashtriya Military Schools) also follows a similar pattern. The exams are tough, so students must prepare well by practicing questions from previous years. Passing these exams opens the door to excellent education, discipline, and a career in the armed forces.
Sainik School Class 6 Entrance Exam Syllabus for Maths
The Sainik School Entrance Exam for Class 6 Mathematics is designed to test students’ understanding of basic math concepts. This section has 50 questions, each carrying 3 marks, making a total of 150 marks. The syllabus includes important topics like Natural Numbers, Ratio and Proportion, Profit and Loss, Speed and Time, Area and Perimeter etc. Mathematics holds the highest weightage, accounting for 50% of the total marks among the four subjects.
| Sl. No. | Topic |
|---|---|
| 1 | Natural Numbers |
| 2 | LCM and HCF |
| 3 | Unitary Method |
| 4 | Fractions |
| 5 | Ratio and Proportion |
| 6 | Profit and Loss |
| 7 | Simplification |
| 8 | Average |
| 9 | Percentage |
| 10 | Area and Perimeter |
| 11 | Simple Interest |
| 12 | Lines and Angles |
| 13 | Complementary and Supplementary Angles |
| 14 | Conversion of Units |
| 15 | Roman Numerals |
| 16 | Types of Angles |
| 17 | Circle |
| 18 | Volume of Cube and Cuboids |
| 19 | Prime and Composite Numbers |
| 20 | Plane Figures |
| 21 | Decimal Numbers |
| 22 | Speed and Time |
| 23 | Operation on Numbers |
| 24 | Temperature |
| 25 | Arranging of Fractions |
Top 50 Tough MCQs on Time, Speed & Distance | Sainik School, RIMC & RMS Class 6 Entrance Exam
- A train 240 meters long crosses a platform 360 meters long in 30 seconds. What is the speed of the train?
A) 20 m/s
B) 25 m/s
C) 30 m/s
D) 35 m/s - A person walks at a speed of 4 km/h for 2 hours and then cycles at 10 km/h for the next 3 hours. What is the average speed for the entire journey?
A) 6.7 km/h
B) 7 km/h
C) 7.6 km/h
D) 8.2 km/h - A car travels at 60 km/h for 30 minutes and then at 90 km/h for another 30 minutes. What is the total distance covered by the car?
A) 60 km
B) 75 km
C) 80 km
D) 90 km - Two trains are moving in opposite directions with speeds of 45 km/h and 55 km/h. If the length of each train is 200 meters, how long will it take for them to completely cross each other?
A) 8 seconds
B) 10 seconds
C) 12 seconds
D) 14 seconds - A boat goes 12 km upstream in 3 hours and returns downstream in 2 hours. What is the speed of the boat in still water?
A) 4 km/h
B) 5 km/h
C) 6 km/h
D) 7 km/h - A man driving at 72 km/h notices that he takes 20 minutes to cover a certain distance. If he increases his speed to 90 km/h, how much time will he save?
A) 3 minutes
B) 4 minutes
C) 5 minutes
D) 6 minutes - A bullet train is moving at 108 km/h and crosses a pole in 9 seconds. What is the length of the train?
A) 270 meters
B) 300 meters
C) 320 meters
D) 360 meters - If a person increases their speed by 25%, they take 20 minutes less to reach their destination. What was their original time to reach the destination?
A) 80 minutes
B) 90 minutes
C) 100 minutes
D) 120 minutes - A bus starts at 7:00 AM from City A to City B, which is 300 km away. If the bus travels at 50 km/h, at what time will it reach City B?
A) 12:00 PM
B) 1:00 PM
C) 1:30 PM
D) 2:00 PM - A cyclist covers 20 km in the first hour, 16 km in the second hour, 12 km in the third hour, and 8 km in the fourth hour. What is the average speed of the cyclist over four hours?
A) 12 km/h
B) 14 km/h
C) 15 km/h
D) 16 km/h - A drone covers 240 km in 2 hours and then increases its speed by 20% for the next 3 hours. What is the total distance covered by the drone?
A) 720 km
B) 672 km
C) 648 km
D) 600 km - A man takes 6 hours to walk from Town A to Town B at a speed of 5 km/h. If he doubles his speed, how much time will he save?
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours - A spaceship takes 6 minutes to travel from Earth to Mars at 12,000 km/min. If its speed increases by 50%, how much time will it take?
A) 4 minutes
B) 5 minutes
C) 6 minutes
D) 3 minutes - A horse runs 100 meters in 5 seconds. How long will it take to run 2 km at the same speed?
A) 1 minute 40 seconds
B) 2 minutes 20 seconds
C) 1 minute 30 seconds
D) 2 minutes - A jogger and a cyclist start at the same point. The jogger moves at 6 km/h, and the cyclist moves at 18 km/h. How far apart will they be after 30 minutes?
A) 6 km
B) 5 km
C) 7 km
D) 4 km - A racing car completes 10 laps of a circular track in 15 minutes. If the track’s circumference is 500 meters, what is the speed of the car in km/h?
A) 20 km/h
B) 25 km/h
C) 30 km/h
D) 40 km/h - If a train increases its speed by 50%, it takes 2 hours less to travel 600 km. What was its original speed?
A) 70 km/h
B) 75 km/h
C) 90 km/h
D) 100 km/h - A person rowing in a river takes 5 hours to row 15 km upstream but only 3 hours to row the same distance downstream. What is the speed of the river current?
A) 1 km/h
B) 1.5 km/h
C) 2 km/h
D) 2.5 km/h - A person starts running at 12 km/h. Every 15 minutes, they increase their speed by 2 km/h. What will be their speed after 1 hour?
A) 16 km/h
B) 18 km/h
C) 20 km/h
D) 22 km/h - A snake moves at 1.2 m/s. How long will it take to cross a road 24 meters wide?
A) 10 sec
B) 12 sec
C) 15 sec
D) 20 sec - A cyclist takes 1 hour to cover a certain distance at 15 km/h. What should be their speed to cover the same distance in 40 minutes?
A) 18 km/h
B) 20 km/h
C) 22.5 km/h
D) 25 km/h - A runner completes 400 meters in 50 seconds. If they maintain the same speed, how far will they run in 5 minutes?
A) 2.2 km
B) 2.5 km
C) 2.4 km
D) 2.6 km - A cheetah runs at 90 km/h, while a zebra runs at 60 km/h. If the zebra starts 200 meters ahead, how much time will it take for the cheetah to catch up?
A) 24 sec
B) 30 sec
C) 36 sec
D) 40 sec - A boy swims in a river at 3 km/h when moving with the current and 2 km/h against the current. What is the speed of the river current?
A) 0.5 km/h
B) 1 km/h
C) 1.5 km/h
D) 2 km/h - A man drives 360 km in 6 hours. If he wants to cover the same distance in 4 hours, by how much should he increase his speed?
A) 10 km/h
B) 20 km/h
C) 30 km/h
D) 40 km/h - A train moving at 72 km/h takes 10 seconds to pass a lamp post. What is the length of the train?
A) 100 m
B) 150 m
C) 200 m
D) 250 m - Two friends start from the same point. One runs at 10 km/h, and the other cycles at 20 km/h. How far apart will they be after 5 minutes?
A) 5 km
B) 7.5 km
C) 10 km
D) 12.5 km - A helicopter travels at 120 km/h for 2 hours and then at 150 km/h for the next 3 hours. What is the average speed of the helicopter?
A) 115 km/h
B) 119 km/h
C) 126 km/h
D) 138 km/h - A cyclist starts 20 minutes after a runner. The runner moves at 10 km/h, and the cyclist at 20 km/h. How long will it take the cyclist to catch up?
A) 10 minutes
B) 15 minutes
C) 20 minutes
D) 30 minutes - A person takes 1.5 hours to travel 30 km by bus and 2 hours to return by cycle. What is the average speed for the entire journey?
A) 10.55 km/h
B) 12.36 km/h
C) 16.87 km/h
D) 17.14 km/h - A boy covers 10 km in 2 hours by walking and the next 15 km in 3 hours by jogging. What is his average speed?
A) 4 km/h
B) 5 km/h
C) 6 km/h
D) 7 km/h - A train increases its speed from 60 km/h to 90 km/h and takes 40 minutes less to travel 180 km. Find the original time taken.
A) 3 hours
B) 2.5 hours
C) 2 hours
D) 1.5 hours - A car is moving at 72 km/h. How many meters will it cover in 25 seconds?
A) 450 m
B) 500 m
C) 600 m
D) 720 m - A moving walkway at an airport moves at 3 km/h. A passenger walks on it at 4 km/h in the same direction. How long will it take him to cross 140 meters?
A) 60 sec
B) 72 sec
C) 80 sec
D) 90 sec - A car takes 2 hours to cover 120 km at constant speed. If the speed is increased by 25%, how much time will it take to cover the same distance?
A) 1.2 hours
B) 1.4 hours
C) 1.5 hours
D) 1.6 hours - A ferry takes 30 minutes to cross a river when moving with the current and 45 minutes against it. If the river is 6 km wide, what is the speed of the ferry in still water?
A) 8 km/h
B) 9 km/h
C) 10 km/h
D) 12 km/h - A space shuttle moves at 8 km/s. How far will it travel in 15 minutes?
A) 6,700 km
B) 7,200 km
C) 8,400 km
D) 9,600 km - A person walks at 5 km/h and reaches the bus stop in 30 minutes. If he runs at 10 km/h, how much time will he save?
A) 10 min
B) 15 min
C) 20 min
D) 25 min - A rocket covers 2,000 km in 4 minutes. What is its speed in km/h?
A) 50,000 km/h
B) 20,000 km/h
C) 40,000 km/h
D) 30,000 km/h - A lion runs at 80 km/h. How long will it take to catch a deer 400 meters ahead running at 60 km/h?
A) 63 sec
B) 54 sec
C) 68 sec
D) 72 sec - A 300-meter-long train passes a person standing on the platform in 15 seconds. What is the speed of the train?
A) 60 km/h
B) 70 km/h
C) 72 km/h
D) 80 km/h - A horse gallops 1.2 km in 2 minutes. What is its speed in m/s?
A) 9 m/s
B) 10 m/s
C) 12 m/s
D) 15 m/s - A high-speed train moving at 144 km/h crosses a 500-meter-long bridge in 25 seconds. What is the length of the train?
A) 300 m
B) 400 m
C) 500 m
D) 600 m - A bus covers a distance of 225 km in 3 hours and 45 minutes. What is its speed in km/h?
A) 55 km/h
B) 60 km/h
C) 65 km/h
D) 70 km/h - A plane covers 900 km in 1 hour 30 minutes. How long will it take to cover 1,200 km at the same speed?
A) 1 hour 40 minutes
B) 2 hours
C) 1 hour 20 minutes
D) 1 hour 30 minutes - A person covers 150 meters in 20 seconds. What is his speed in km/h?
A) 18 km/h
B) 20 km/h
C) 25 km/h
D) 27 km/h - A plane flying at 720 km/h takes 45 minutes to reach its destination. What is the distance traveled?
A) 480 km
B) 520 km
C) 540 km
D) 600 km - A man rows a boat at 8 km/h in still water. If the river flows at 2 km/h, what is his effective speed while rowing downstream?
A) 6 km/h
B) 8 km/h
C) 10 km/h
D) 12 km/h - A boy and his dog start walking at the same time. The boy walks at 5 km/h, and the dog runs at 10 km/h. How far will the dog be from the boy after 12 minutes?
A) 1 km
B) 1.2 km
C) 1.5 km
D) 2 km - A train 400 meters long crosses a bridge in 40 seconds at 72 km/h. What is the length of the bridge? A) 400 m
B) 500 m
C) 600 m
D) 700 m
Check Your Answers
Below are the correct answers to the MCQs. Download the PDF to compare your responses and track your progress. For better practice, use our free OMR sheets to simulate the real exam experience.
