Imagine a bus that covers 180 km in 6 hours. How fast does it go? Time and Distance problems all rest on one small relation between three things: speed, distance and time .
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Q1. Karan runs at a speed of 12 km/hr. How many minutes will Karan take to cover a distance of 1600 metres?
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Answer: D
Let speed = 12 km/hr and distance = 1600 m. Convert speed to m/sec: 12 x 5/18 = 3.33 m/sec. Time = distance / speed. Time = 1600 / 3.33 = 480 seconds. Convert seconds to minutes: 480/60 = 8 minutes. Check: 8 x 60 = 480 seconds, matching the time found above.
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Q2. Rahul runs at a speed of 24 km/hr. How many minutes will Rahul take to cover a distance of 400 metres?
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Answer: B
Let speed = 24 km/hr and distance = 400 m. Convert speed to m/sec: 24 x 5/18 = 6.67 m/sec. Time = distance / speed. Time = 400 / 6.67 = 60 seconds. Convert seconds to minutes: 60/60 = 1 minute. Check: 1 x 60 = 60 seconds, matching the time found above.
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Q3. A speed of 25 metres per second is the same as how many km/hr?
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Answer: A
Let the given speed be 25 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 25 x 18/5. 25 x 18 = 450. 450/5 = 90 km/hr. Check: 90 x 5/18 = 25 m/sec, which matches the given speed.
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Q4. A speed of 70 metres per second is the same as how many km/hr?
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Answer: C
Let the given speed be 70 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 70 x 18/5. 70 x 18 = 1260. 1260/5 = 252 km/hr. Check: 252 x 5/18 = 70 m/sec, which matches the given speed.
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Q5. A speed of 35 metres per second is the same as how many km/hr?
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Answer: B
Let the given speed be 35 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 35 x 18/5. 35 x 18 = 630. 630/5 = 126 km/hr. Check: 126 x 5/18 = 35 m/sec, which matches the given speed.
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Q6. A speed of 15 metres per second is the same as how many km/hr?
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Answer: D
Let the given speed be 15 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 15 x 18/5. 15 x 18 = 270. 270/5 = 54 km/hr. Check: 54 x 5/18 = 15 m/sec, which matches the given speed.
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Q7. A speed of 30 metres per second is the same as how many km/hr?
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Answer: B
Let the given speed be 30 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 30 x 18/5. 30 x 18 = 540. 540/5 = 108 km/hr. Check: 108 x 5/18 = 30 m/sec, which matches the given speed.
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Q8. A speed of 60 metres per second is the same as how many km/hr?
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Answer: D
Let the given speed be 60 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 60 x 18/5. 60 x 18 = 1080. 1080/5 = 216 km/hr. Check: 216 x 5/18 = 60 m/sec, which matches the given speed.
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Q9. A speed of 65 metres per second is the same as how many km/hr?
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Answer: C
Let the given speed be 65 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 65 x 18/5. 65 x 18 = 1170. 1170/5 = 234 km/hr. Check: 234 x 5/18 = 65 m/sec, which matches the given speed.
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Q10. A speed of 10 metres per second is the same as how many km/hr?
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Answer: A
Let the given speed be 10 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 10 x 18/5. 10 x 18 = 180. 180/5 = 36 km/hr. Check: 36 x 5/18 = 10 m/sec, which matches the given speed.
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Q11. A speed of 40 metres per second is the same as how many km/hr?
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Answer: D
Let the given speed be 40 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 40 x 18/5. 40 x 18 = 720. 720/5 = 144 km/hr. Check: 144 x 5/18 = 40 m/sec, which matches the given speed.
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Q12. A speed of 75 metres per second is the same as how many km/hr?
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Answer: B
Let the given speed be 75 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 75 x 18/5. 75 x 18 = 1350. 1350/5 = 270 km/hr. Check: 270 x 5/18 = 75 m/sec, which matches the given speed.
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Q13. A speed of 55 metres per second is the same as how many km/hr?
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Answer: A
Let the given speed be 55 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 55 x 18/5. 55 x 18 = 990. 990/5 = 198 km/hr. Check: 198 x 5/18 = 55 m/sec, which matches the given speed.
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Q14. A speed of 80 metres per second is the same as how many km/hr?
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Answer: C
Let the given speed be 80 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 80 x 18/5. 80 x 18 = 1440. 1440/5 = 288 km/hr. Check: 288 x 5/18 = 80 m/sec, which matches the given speed.
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Q15. A speed of 50 metres per second is the same as how many km/hr?
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Answer: B
Let the given speed be 50 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 50 x 18/5. 50 x 18 = 900. 900/5 = 180 km/hr. Check: 180 x 5/18 = 50 m/sec, which matches the given speed.
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Q16. A speed of 20 metres per second is the same as how many km/hr?
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Answer: C
Let the given speed be 20 m/sec. To convert m/sec to km/hr, multiply by 18/5. Speed in km/hr = 20 x 18/5. 20 x 18 = 360. 360/5 = 72 km/hr. Check: 72 x 5/18 = 20 m/sec, which matches the given speed.
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Q17. A car is travelling at 90 km/hr. What is its speed in metres per second?
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Answer: A
Let the given speed be 90 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 90 x 5/18. 90 x 5 = 450. 450/18 = 25 m/sec. Check: 25 x 18/5 = 90 km/hr, which matches the given speed.
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Q18. A car is travelling at 54 km/hr. What is its speed in metres per second?
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Answer: D
Let the given speed be 54 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 54 x 5/18. 54 x 5 = 270. 270/18 = 15 m/sec. Check: 15 x 18/5 = 54 km/hr, which matches the given speed.
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Q19. A car is travelling at 36 km/hr. What is its speed in metres per second?
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Answer: A
Let the given speed be 36 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 36 x 5/18. 36 x 5 = 180. 180/18 = 10 m/sec. Check: 10 x 18/5 = 36 km/hr, which matches the given speed.
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Q20. A car is travelling at 162 km/hr. What is its speed in metres per second?
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Answer: B
Let the given speed be 162 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 162 x 5/18. 162 x 5 = 810. 810/18 = 45 m/sec. Check: 45 x 18/5 = 162 km/hr, which matches the given speed.
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Q21. A car is travelling at 180 km/hr. What is its speed in metres per second?
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Answer: D
Let the given speed be 180 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 180 x 5/18. 180 x 5 = 900. 900/18 = 50 m/sec. Check: 50 x 18/5 = 180 km/hr, which matches the given speed.
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Q22. A car is travelling at 144 km/hr. What is its speed in metres per second?
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Answer: C
Let the given speed be 144 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 144 x 5/18. 144 x 5 = 720. 720/18 = 40 m/sec. Check: 40 x 18/5 = 144 km/hr, which matches the given speed.
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Q23. A car is travelling at 126 km/hr. What is its speed in metres per second?
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Answer: B
Let the given speed be 126 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 126 x 5/18. 126 x 5 = 630. 630/18 = 35 m/sec. Check: 35 x 18/5 = 126 km/hr, which matches the given speed.
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Q24. A car is travelling at 72 km/hr. What is its speed in metres per second?
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Answer: C
Let the given speed be 72 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 72 x 5/18. 72 x 5 = 360. 360/18 = 20 m/sec. Check: 20 x 18/5 = 72 km/hr, which matches the given speed.
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Q25. A car is travelling at 108 km/hr. What is its speed in metres per second?
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Answer: D
Let the given speed be 108 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 108 x 5/18. 108 x 5 = 540. 540/18 = 30 m/sec. Check: 30 x 18/5 = 108 km/hr, which matches the given speed.
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Q26. A car is travelling at 18 km/hr. What is its speed in metres per second?
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Answer: A
Let the given speed be 18 km/hr. To convert km/hr to m/sec, multiply by 5/18. Speed in m/sec = 18 x 5/18. 18 x 5 = 90. 90/18 = 5 m/sec. Check: 5 x 18/5 = 18 km/hr, which matches the given speed.
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