26. A train 120 m long runs at 36 km/h. How long does it take to pass a pole?
- 24 s
- 12 s
- 9 s
- 16 s
Answer: B) 12 s
Explanation: Speed = 36 tfrac518 = 10 m/s; time = 120 div 10 = 12 s.
MCQs / Quantitative Reasoning / Speed, Time, Work & Ages
Speed, Time, Work & Ages MCQs — Quantitative Reasoning (page 2)
34 multiple-choice questions on Speed, Time, Work & Ages from Quantitative Reasoning, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.
27. Two cars start 450 km apart and drive towards each other at 70 km/h and 80 km/h. After how many hours do they meet?
- 3 h
- 45 h
- 6 h
- 4 h
Answer: A) 3 h
Explanation: Moving towards each other, speeds add: 70+80 = 150 km/h. Time = 450 div 150 = 3 h.
28. Pipe A fills a tank in 4 hours; pipe B empties it in 6 hours. If both are open, how long to fill the tank?
- 14 hours
- 2 hours
- 12 hours
- 2.4 hours
Answer: C) 12 hours
Explanation: Net filling per hour = tfrac14 - tfrac16 = tfrac224, so time = 12 hours.
29. A 200 m train at 90 km/h crosses a 300 m long platform. Time taken?
- 25 s
- 8 s
- 20 s
- 12 s
Answer: C) 20 s
Explanation: Distance = 200 + 300 = 500 m; speed = 25 m/s; time = 500 div 25 = 20 s.
30. A 100 m train at 54 km/h crosses a 260 m long platform. Time taken?
- 17 s
- 29 s
- 6 s
- 24 s
Answer: D) 24 s
Explanation: Distance = 100 + 260 = 360 m; speed = 15 m/s; time = 360 div 15 = 24 s.
31. A can do a job in 6 days and B in 12 days. Working together, how many days will they take?
- 5 days
- 4 days
- 6 days
- 9 days
Answer: B) 4 days
Explanation: In one day they do tfrac16 + tfrac112 = tfrac1872 of the job, so time = tfrac7218 = 4 days.
32. The present ages of two brothers add up to 60 years, and 6 years ago their ages were in the ratio 5:3. What is the elder one's present age?
- 30 years
- 36 years
- 41 years
- 24 years
Answer: B) 36 years
Explanation: Let ages 6 years ago be 5x and 3x. Then 8x + 12 = 60, so x = 6. Elder now = 5 6 + 6 = 36.
33. A can do a job in 20 days and B in 30 days. Working together, how many days will they take?
- 10 days
- 25 days
- 12 days
- 14 days
Answer: C) 12 days
Explanation: In one day they do tfrac120 + tfrac130 = tfrac50600 of the job, so time = tfrac60050 = 12 days.
34. A man drives to a town at 30 km/h and returns by the same road at 60 km/h. His average speed for the whole journey is:
- 44 km/h
- 40 km/h
- 36 km/h
- 45 km/h
Answer: B) 40 km/h
Explanation: For equal distances, average speed = dfrac2xyx+y = dfrac2 30 6090 = 40 km/h (not the simple average 45).
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Practise Speed, Time, Work & Ages MCQs