Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
All Core formulas and unit conversion 441 Boats and streams effective speed 396 Relative speed, meetings, and overtaking 375 Average speed 362 Early and late arrival 321 Proportional relationships 202 Stoppage time per hour 35 Train and stationary or moving object crossing 17 Races and dead heats 16

Time, Speed and Distance Questions

Multiple choice

A man walks at a speed of 8 km/h. After every kilometer, he takes a rest for 4 minutes. How much time will he take to cover a distance of 6 km?

  1. 70 minutes

  2. 60 minutes

  3. 69 minutes

  4. 65 minutes

  5. 68 minutes
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The man covers 6 km at 8 km/h, taking 6/8 hours = 45 minutes of walking time. He rests after every kilometer, so he rests after 1, 2, 3, 4, and 5 km (he does not rest after the 6th km as he has arrived). Total rest time = 5 * 4 minutes = 20 minutes. Total time = 45 + 20 = 65 minutes.

Multiple choice

State 'T' for true and 'F' for false and select the correct option. 1. If the area of a rectangle ABCD is 100 cm2 and AB : CD is 2 : 1, then AB = 20 cm and CD = 10 cm. 2. Sam has total 300 red and black balls. If 25% of them are black, then there are 125 red balls. 3. If the speeds of three trucks are in the ratio 3 : 4 : 5, then the ratio of time taken by these trucks to travel the same distance is 20 : 35 : 45.

  1. 1 - F, 2 - T, 3 - T

  2. 1 - T, 2 - T, 3 - T

  3. 1 - F, 2 - F, 3 - F

  4. 1 - T, 2 - F, 3 - F
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

1: Area = 100, AB:CD=2:1. If AB=20, CD=10, Area = 20*10=200 (False). 2: 300 total, 25 percent black = 75, red = 225 (False). 3: Speed ratio 3:4:5, Time ratio 1/3:1/4:1/5 = 20:15:12 (False).

Multiple choice

Directions: The following question consists of two quantities, Quantity I and Quantity II. You are to compare them both and find the correct relationship between them. A boy is traveling by a car. He covers first 40 km at 20 km per hour and remaining 60 km at 40 km per hour. Quantity I: His average speed during his total distance Quantity II: 28 km/h

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or no relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Average speed = Total distance / Total time. Total distance = 40 + 60 = 100 km. Time 1 = 40/20 = 2 hours. Time 2 = 60/40 = 1.5 hours. Total time = 3.5 hours. Average speed = 100 / 3.5 = 28.57 km/h. Quantity I (28.57) > Quantity II (28).

Multiple choice

A truck covers 40 km with an average speed of 80 km/h. Then it travel another 40 km with an average speed of 40 km/h. The average speed of the truck for the total distance covered is approximately:

  1. 40 km/h

  2. 45 km/h

  3. 48 km/h

  4. 53 km/h
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Average speed is total distance divided by total time. Total distance is 40 + 40 = 80 km. Time for first part is 40/80 = 0.5 hours, and time for second part is 40/40 = 1 hour. Total time is 1.5 hours, so average speed is 80/1.5 = 53.33 km/h.

Multiple choice

George traveled from Nashville to Cookville at the speed of 70 miles per hour. Due to heavy traffic, he reduced the speed to 50% and drove from Cookville to Knoxville at this reduced speed. If the distance between Cookville and Knoxville was three times the distance between Nashville and Cookville, what was George's average speed for the entire trip?

  1. 50 miles per hour

  2. 45 miles per hour

  3. 40 miles per hour

  4. 37.5 miles per hour

  5. 35 miles per hour
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance Nashville-Cookville = d. Then Cookville-Knoxville = 3d. Speed 1 = 70 mph. Speed 2 = 35 mph. Time 1 = d/70. Time 2 = 3d/35 = 6d/70. Total distance = 4d. Total time = 7d/70 = d/10. Average speed = 4d / (d/10) = 40 mph.

Multiple choice

The speeds of 'A' and 'B' are 30 miles per hour and 15 meters per second, respectively. 'A' travels for five hours and 'B' travels for three hours. 1 meter per second = 2.236936 mph Quantity A Distance traveled by A Quantity B Distance traveled by B

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A's speed = 30 mph. Distance = 30 * 5 = 150 miles. B's speed = 15 m/s. Convert to mph: 15 * 2.236936 = 33.55404 mph. Distance = 33.55404 * 3 = 100.66212 miles. Quantity A (150) > Quantity B (100.66).

Multiple choice

Alyssa went on a road tour on her Jeep Wrangler and covered a total distance of 180 miles. She covered first 90 miles at 30 miles per hour and the next 90 miles at 45 miles per hour. What would be her average speed for the whole tour?

  1. 38 miles per hour

  2. 36 miles per hour

  3. 34 miles per hour

  4. 32 miles per hour

  5. 30 miles per hour
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed is total distance divided by total time. Total distance is 180 miles. Time for the first 90 miles is 90/30 = 3 hours. Time for the next 90 miles is 90/45 = 2 hours. Total time is 5 hours. Average speed = 180/5 = 36 mph.

Multiple choice

Vincent works as a cab driver in Gett Taxi Services in Perth. He leaves Perth at 6:30 PM for a pickup point in Edinburgh at 10:30 PM, which is 150 miles away from Perth. At 8:30 PM, he finds that he has covered only two fifths of the distance. By how much does he have to increase the speed of the cab in order to keep up his schedule?

  1. 45 miles per hour

  2. 30 miles per hour

  3. 22 miles per hour

  4. 15 miles per hour

  5. 10 miles per hour
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total distance = 150 miles. Time = 4 hours (6:30 to 10:30). Two fifths covered in 2 hours (6:30 to 8:30) = 60 miles. Remaining distance = 90 miles. Remaining time = 2 hours. Required speed = 90/2 = 45 mph. Initial speed = 60/2 = 30 mph. Increase = 15 mph.

Multiple choice

Willow went up to the top of a mountain using a motorbike on an elevated road at an average speed of 60 miles per hour. She used the same path for the return journey and, to be safe and secure, she didn't speed up much, and traveled at an average speed of 40 miles per hour. If she covered the whole distance in 2 hours without any stops, how long was the one-way path?

  1. 48 miles

  2. 50 miles

  3. 52 miles

  4. 54 miles

  5. 65 miles
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let d be the one-way distance. Time up = d/60, time down = d/40. Total time = d/60 + d/40 = 2. (2d + 3d) / 120 = 2, so 5d = 240, d = 48 miles.

Multiple choice

Romania took part in Washington cycling contest in which she had to place a flag on other end of the road and return back to the initial point. She placed the flag on the designated point in 3 hours by going at an average speed of 20 miles per hour and completed the whole journey in 5.5 hours. While returning, she followed another path with an average speed of 25 miles per hour. What would be the total distance covered?

  1. 125.5 miles

  2. 122.5 miles

  3. 120.5 miles

  4. 118.5 miles

  5. 127.5 miles
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Outward journey: 3 hours at 20 mph = 60 miles. Total time = 5.5 hours. Return time = 5.5 - 3 = 2.5 hours. Return speed = 25 mph. Return distance = 2.5 * 25 = 62.5 miles. Total distance = 60 + 62.5 = 122.5 miles.

Multiple choice

Two cities are 800 miles apart. At 3:00 P.M., plane A leaves one city, traveling toward the other city at a speed of 600 miles per hour. At 4:00 the same afternoon, plane B leaves the first city, travelling in the same direction at a rate of 800 miles per hour. Which of the following answers represents the actual result?

  1. Plane A arrives first, by an hour or more.

  2. Plane A arrives first, by less than an hour.

  3. Both the planes arrive at exactly the same time.

  4. Plane A arrives after plane B, by less than an hour.

  5. Plane A arrives after plane B, by an hour or more.
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

A man takes to row 80 km along the stream is half of the time taken to row against the stream. Find the speed of the boat in still water if the speed of stream is 6 km/hr?

  1. 24 km/hr

  2. 20 km/hr

  3. 18 km/hr

  4. 12 km/hr

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

Let v be speed of boat, s = 6. Downstream speed = v+6, upstream = v-6. Time = Distance / Speed. 80/(v+6) = 0.5 * 80/(v-6). 1/(v+6) = 0.5/(v-6). v-6 = 0.5(v+6). v-6 = 0.5v + 3. 0.5v = 9. v = 18.