Quantitative Aptitude

Time, Speed and Distance

2,165 Questions
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Time, Speed and Distance Questions

Multiple choice

Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?

  1. 300 Km

  2. 400 Km

  3. 480 Km

  4. 600 Km

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let t be the time taken by Raju to reach C. Then Ramu takes 1.5t to reach C. Ramu travels for (t + 1.5 + 2) hours total? No, Ramu travels for (t + 1.5 + 2) is incorrect. Let Ramu reach C at time T_ramu and Raju at T_raju. Raju starts 2 hours later. If they meet at C, the distance from A to C is 40 * (T_ramu) and B to C is 60 * (T_ramu - 2). Given T_raju / T_ramu = 2/3, this implies a specific distance. Solving the system yields 480 km.

Multiple choice

Ramu started from A towards B at a speed of 20Km/hr and Raju started from B towards A. They crossed each other after one hour. Raju reached his destination 5/6 hour earlier than Ramu reached his destination.Then what is the distance between A and B?

  1. 40 Km

  2. 50 Km

  3. 60 Km

  4. 80 Km

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D and Raju's speed be v. They meet in 1 hour, so Ramu travels 20 km and Raju travels v km. Total distance D = 20 + v. Time taken by Ramu is D/20, time by Raju is D/v. Given D/20 - D/v = 5/6. Substituting D = 20+v, we solve for v = 30. Thus D = 50.

Multiple choice

Speed of a man in still water is 16 km/hr and the river is running at 6 km/hr. The total time taken to go to a place and come back is 8 hours. Find the distance travelled by the man?

  1. 146 km

  2. 110 km

  3. 142 km

  4. 133 km

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

Downstream speed = 16 + 6 = 22 km/hr. Upstream speed = 16 - 6 = 10 km/hr. Let distance be D. D/22 + D/10 = 8. (10D + 22D) / 220 = 8. 32D = 1760. D = 55 km. Total distance travelled = 2 * 55 = 110 km.

Multiple choice

The distance from Joshua's home to school is 4 miles, which he covers by walking. On Tuesday, Joshua covered 50% of the distance at an average speed of 5 miles per hour, and after covering the 50% distance, Joshua realized that he was getting late for school and started running. At what average speed must Joshua run so that his average speed for the entire distance becomes 6 miles per hour? (Joshua did not stop anywhere on the way from his home to school.)

  1. 7 mph

  2. 8 mph

  3. 7.5 mph

  4. 8.5 mph

  5. 9 mph
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance is 4 miles. First 2 miles at 5 mph takes 0.4 hours. To average 6 mph over 4 miles, total time must be 4/6 = 2/3 hours. Remaining 2 miles must be covered in (2/3 - 0.4) = 0.2667 hours. Speed = 2 / 0.2667 = 7.5 mph.

Multiple choice

Alfie owns an AeroMobil. He had to go to another town for an important work, which he had to complete on the same day. He asked his driver to drive (from home) at an average speed of 30 miles per hour so that they could reach his garage. He then took his AeroMobil and flew at an average speed of 60 miles per hour to reach the town. The total journey was 150 miles long, and it took him 3 hours to reach the destination. What is the distance from the garage to the town he wanted to reach?

  1. 145 miles

  2. 120 miles

  3. 100 miles

  4. 90 miles

  5. 80 miles
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let d1 be distance by car, d2 by plane. d1+d2=150. Time = d1/30 + d2/60 = 3. Multiply by 60: 2*d1 + d2 = 180. Subtract (d1+d2=150) from (2*d1+d2=180) gives d1=30. Then d2 = 150-30 = 120.

Multiple choice

Libby is traveling to another city. She covers the first two hours of her journey at 40 miles per hour. She is getting late, so she drives her car fast, and covers the last 3 hours of the journey at twice the speed she was travelling before. What is her average speed of travel for the entire journey?

  1. 56.67 mph

  2. 64 mph

  3. 66.23 mph

  4. 68 mph

  5. 70 mph
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance 1 = 2 hours * 40 mph = 80 miles. Speed 2 = 2 * 40 = 80 mph. Distance 2 = 3 hours * 80 mph = 240 miles. Total distance = 320 miles. Total time = 5 hours. Average speed = 320 / 5 = 64 mph.

Multiple choice

Talia would reach her home at 4 pm if she started at 11:30 am from her friend's home, driving her car at 50 miles per hour. At what time would she arrive if she drove at an average speed of 75 miles per hour?

  1. 1:30 pm

  2. 2:30 pm

  3. 2:40 pm

  4. 2:45 pm

  5. 3:00 pm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance = speed * time. Time taken at 50 mph from 11:30 am to 4:00 pm is 4.5 hours. Distance = 50 * 4.5 = 225 miles. At 75 mph, time = 225 / 75 = 3 hours. 11:30 am + 3 hours = 2:30 pm.

Multiple choice

A delivery car starts moving from the city of London to Gonville Academy to deliver some boxes at a speed of 76 miles per hour for 3 hours and, after 3 hours, the car travels a distance of 178 miles in 4 hours to reach the destination. What is the average speed of the delivery car to reach its destination?

  1. 55 miles per hour

  2. 56 miles per hour

  3. 57 miles per hour

  4. 58 miles per hour

  5. 59 miles per hour
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Distance 1 = 76 * 3 = 228 miles. Distance 2 = 178 miles. Total distance = 228 + 178 = 406 miles. Total time = 3 + 4 = 7 hours. Average speed = 406 / 7 = 58 mph.

Multiple choice

The average speed of a car is 72 miles per hour, and the average time taken to complete a certain distance is 7 hours. What is the speed in the first 4 hours of the journey if the distance is traveled in the ratio of 2 : 5 for the first 4 hours and the remaining hours?

  1. 36 miles per hour

  2. 40 miles per hour

  3. 44 miles per hour

  4. 48 miles per hour

  5. 52 miles per hour
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total distance = 72 * 7 = 504 miles. Ratio 2:5 for 4 hours and 3 hours. Distance 1 = (2/7) * 504 = 144 miles. Speed 1 = 144 / 4 = 36 mph.

Multiple choice

Trevor went on a journey in which he initially traveled at 45 miles per hour, covering a distance of 135 miles, and then covered a distance of 262.5 miles at a speed of 35 miles per hour. What was the average speed to cover the distance?

  1. 36 miles per hour

  2. 37.85 miles per hour

  3. 38 miles per hour

  4. 39.75 miles per hour

  5. 40.15 miles per hour
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Time 1 = 135 / 45 = 3 hours. Time 2 = 262.5 / 35 = 7.5 hours. Total distance = 135 + 262.5 = 397.5 miles. Total time = 3 + 7.5 = 10.5 hours. Average speed = 397.5 / 10.5 = 37.857... mph.

Multiple choice

Sophie is riding a motorboat. She rides 80 miles upstream at an average speed of x miles per hour. During downstream ride, her speed is (x + 2) miles per hour while the distance is the same. If the upstream ride took 2 hours longer than the downstream ride, how many hours did Sophie take to ride downstream?

  1. 8 hours

  2. 9 hours

  3. 10 hours

  4. 11 hours

  5. 12 hours
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Upstream time = 80/x, Downstream time = 80/(x+2). 80/x - 80/(x+2) = 2. 40/x - 40/(x+2) = 1. 40(x+2-x) = x(x+2). x^2 + 2x - 80 = 0. (x+10)(x-8) = 0. x=8. Downstream time = 80/(8+2) = 8 hours.

Multiple choice

A person walks to his school which is at a distance of 3 km from his home in 30 minutes. On reaching he finds that the school is closed and comes back by a bicycle with his friend and reaches home in 20 minutes. His average speed in km/h is

  1. 8.3

  2. 7.2

  3. 5

  4. 3.6
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total distance = 3 km (to school) + 3 km (back) = 6 km. Total time = 30 min + 20 min = 50 min = 50/60 hours = 5/6 hours. Average speed = Total Distance / Total Time = 6 / (5/6) = 36 / 5 = 7.2 km/h.