Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
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Time, Speed and Distance Questions

Multiple choice

The distance between two cities A and B is 1850 km. An Air India plane flies partly at 180 kmph and partly at 190 kmph. Time taken to reach B from A is 10 hours. Also, it gives a better mileage of 3 km per litre at 180 kmph than at 190 kmph. What volume of fuel does the plane consume when flying the distance at 190 kmph if it consumes 48 litres while flying at 180 kmph?

  1. 48.41 litres

  2. 60.32 litres

  3. 65.56 litres

  4. 86.2 litres
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let d1 be distance at 180 kmph, d2 at 190 kmph. d1/180 + d2/190 = 10 and d1 + d2 = 1850. Solving gives d1 = 900 km, d2 = 950 km. Fuel at 180 kmph = 900 / (mileage_x + 3) = 48. Mileage_x = 15.75. Mileage at 190 kmph = 15.75. Fuel = 950 / 15.75 = 60.32.

Multiple choice

Three runners A, B and C are running around a circular track. The ratio of their speeds is 3 : 4 : 5. They meet exactly 12th time at the end of an hour at the starting point. A covers 4920 m less distance than C in 1 hour. What is the distance travelled by B in 1 hour?

  1. 9920 m

  2. 9840 m

  3. 9960 m

  4. 9460 m

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ratio of speeds = 3:4:5. Let speeds be 3k, 4k, 5k. In 1 hour, distances are 3k, 4k, 5k. 5k - 3k = 4920 => 2k = 4920 => k = 2460. Distance of B = 4k = 4 * 2460 = 9840 m.

Multiple choice

In the following questions, calculate quantity I and quantity II, compare them and answer Quantity I- Speed of Train (in kmph), A train covers a certain distance of 630km at constant speed. If speed of train increased by 20 kmph. Then journey would take 2 hours less. Quantity II-Average speed (in kmph), A train covers half journey at the speed of 60 kmph and half of journey at the speed of 80 kmph.

  1. If quantity I > quantity II

  2. If quantity I < quantity II

  3. If quantity I ≥ quantity II

  4. if quantity I ≤ quantity II

  5. if quantity I = quantity II or no relation can be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solving 630/v - 630/(v + 20) = 2 gives v = 70 kmph. The average for equal distances at 60 and 80 kmph is 2 x 60 x 80/(60 + 80) = 68.57 kmph, so Quantity I is greater.

Multiple choice

A person covered 100 km at 20 km/hr, next 120 km at 30 km/hr, next 150 km at 50 km/hr and next 200 km at 40 km/hr. Find the average speed of the person for the whole journey.

  1. 36.55 km/hr

  2. 33.53 km/hr

  3. 42.65 km/hr

  4. 48.67 km/hr

  5. 41.54 km/hr
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed = Total distance / Total time. Total distance = 100 + 120 + 150 + 200 = 570 km. Total time = 100/20 + 120/30 + 150/50 + 200/40 = 5 + 4 + 3 + 5 = 17 hours. Average speed = 570 / 17 = 33.529 km/hr.

Multiple choice

A car travel 36 km less than a bus in T hours. Speed of bus is 12 km/hr more than speed of car, if speed of car is 52 km/hr. Find how much distance will be covered by car in (T- 1/2) hours?

  1. a) 130 km

  2. b) 140 km

  3. c) 145 km

  4. d) 135 km

  5. e) 125 km
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The bus is 12 km/hr faster than the car, so in T hours it travels 12T km more. Since the difference is 36 km, T = 3 hours. The car travels 52 × (3 - 1/2) = 52 × 2.5 = 130 km.