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

The ratio of the speeds of A and B is 2 : 5. To cover a certain distance, if A takes 15 minutes more than B, then how much time (in minutes) will B take to cover the same distance?

  1. 12

  2. 8

  3. 10

  4. 9
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let speeds be 2x and 5x. Time = Distance/Speed. For same distance d: Time_A = d/2x, Time_B = d/5x. Given: Time_A = Time_B + 15 minutes. So d/2x = d/5x + 15. Distance cancels out: 1/2x = 1/5x + 15. Multiply by 10x: 5 = 2 + 150x, which gives 3 = 150x. This doesn't work. Let me reconsider: If we compare times directly, since speed is inversely proportional to time for constant distance, the time ratio is 5:2 (inverse of speed ratio). So if A takes 5 units of time, B takes 2 units. Difference is 3 units = 15 minutes, so 1 unit = 5 minutes. Therefore B takes 2 × 5 = 10 minutes.

Multiple choice

A person can row 5 m/sec in still water. The speed of the stream is 6 km/h. The time (in hours) taken by him to row a distance of 76.8 km downstream is:
  1. $3.5$
  2. $2.8$
  3. $3.2$
  4. $2.4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speed in still water = 5 m/sec. Speed of stream = 6 km/h = 6 × (1000/3600) = 5/3 m/sec. Downstream speed = (5 + 5/3) = 20/3 m/sec = (20/3) × (18/5) = 12 km/h. Distance = 76.8 km. Time = Distance/Speed = 76.8/12 = 6.4 hours. Wait, this doesn't match the options. Let me recalculate: Stream speed = 6 km/h = 6000/3600 = 5/3 m/sec. Downstream speed = 5 + 5/3 = 20/3 m/sec. In km/h: (20/3) × 3.6 = 24 km/h. Time = 76.8/24 = 3.2 hours. This matches option C.

Multiple choice

A man started his journey at 8:00 AM by covering 186 km by bus at a speed of 45 km/hr. After that, he travelled 256 km by train at a speed of 96 km/hr. and covered his remaining journey by taxi at a speed of 40 km/hr. Hence, he completed his journey of ___ km at ___ PM. Which of the following options satisfies the two blanks in the question? A. 490, 4:00 B. 500, 4:15 C. 530, 5:00 D. 554, 5:15

  1. A, B & C

  2. A, B & D

  3. A, C & D

  4. B, C & D

  5. All four
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Bus time = 186/45 = 4.13 hrs. Train time = 256/96 = 2.67 hrs. Total known distance = 186 + 256 = 442 km. Total known time = 6.8 hrs, ending at 2:48 PM. Checking options: Option A (490 km total, 4:00 PM): taxi distance = 48 km at 40 km/h = 1.2 hrs, total time = 8 hrs, ending at 4:00 PM. This works! Option B: taxi time would end at 3:43 PM. Option C: taxi time would end at 4:28 PM. Only option A satisfies both blanks correctly.

Multiple choice

A boat goes upstream at a speed of 15 km/hr and comes back the same distance at 24 km/hr. What is the average speed (in km/hr) for the total journey?

  1. 17.4

  2. 18.5

  3. 19.3

  4. 18.9
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For equal distances at different speeds, average speed = 2ab/(a+b) where a=15, b=24. Average = 2×15×24/(15+24) = 720/39 = 18.46 km/hr, which rounds to 18.5. Option A (17.4) would be (15+24)/2 incorrectly. Option C (19.3) is too high. Option D (18.9) doesn't match the formula.

Multiple choice

The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels towards B at 60 km/hr. Another train starts from B at 9 a.m. and travels towards A at 75 km/hr. At what time do they meet? दो शहरों A और B के बीच की दूरी 330 किमी है। एक ट्रेन सुबह 8 बजे A से चलना शुरू करती है और B की ओर 60 किमी/घंटा की गति से चलती है। एक अन्य ट्रेन B से सुबह 9 बजे शुरू होती है और 75 किमी/घंटा की गति से A की ओर चलती है। वे किस समय मिलते हैं?

  1. 10 : 30 AM 10: 30 पूर्वाह्न

  2. 11 AM 11 पूर्वाह्न

  3. 11 : 30 AM 11: 30 पूर्वाह्न

  4. 10 AM 10 पूर्वाह्न

  5. 09 : 30 AM 09: 30 पूर्वाह्न
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

First train travels alone from 8 AM to 9 AM (1 hour) at 60 km/hr, covering 60 km. Remaining distance = 330 - 60 = 270 km. At 9 AM, both trains move toward each other at combined speed 60 + 75 = 135 km/hr. Time to meet = 270/135 = 2 hours. Meeting time = 9 AM + 2 hours = 11 AM.

Multiple choice

A boat covers a distance of 30 km downstream in 2 hours while it takes 6 hours to cover the same distance upstream. If the speed of the stream is half that of the boat, then what is the speed of the boat in still water in km per hour? एक नाव धारा के अनुकूल 30 किमी की दूरी 2 घंटे में तय करती है जबकि समान दूरी को धारा के प्रतिकूल तय करने में 6 घंटे का समय लेती है। यदि धारा की गति नाव की गति से आधी है, तो शांत जल में नाव की गति किमी प्रति घंटा में क्या है?

  1. 10 km/hr 10 किमी / घंटा

  2. 8 km/hr 8 किमी / घंटा

  3. 12 km/hr 12 किमी / घंटा

  4. 16 km/hr 16 किमी / घंटा

  5. 18 km/hr 18 किमी / घंटा
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Downstream speed = 30/2 = 15 km/hr. Upstream speed = 30/6 = 5 km/hr. Let boat speed in still water = b, stream speed = s. We have: b + s = 15, b - s = 5. Also given s = b/2. Substituting: b + b/2 = 15, so 3b/2 = 15, b = 10 km/hr. Check: s = 5, b + s = 15 (downstream), b - s = 5 (upstream). Correct.

Multiple choice

A man travels some distance at a speed of 12 km/hr and returns at a speed of 9 km/hr. If the total time taken by him is 2 hrs 20 min, the distance is एक आदमी कुछ दूरी 12 किमी/घंटा की गति से तय करता है और 9 किमी/घंटा की गति से लौटता है। यदि उसके द्वारा लिया गया कुल समय 2 घंटे 20 मिनट है, तो दूरी है

  1. 35 Km 35 किमी

  2. 21 Km 21 किमी

  3. 9 Km 9 किमी

  4. 12 Km 12 किमी

  5. 13 km 13 किमी
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let one-way distance be d km. Time for onward journey = d/12 hours, return journey = d/9 hours. Total time: d/12 + d/9 = 2 hours 20 minutes = 7/3 hours. Solving: d(1/12 + 1/9) = 7/3, so d(7/36) = 7/3, giving d = 12 km. Total distance traveled is 24 km.

Multiple choice

The difference between the time taken by 2 cars to cover 450 Km is 1 hour 30 minutes. If the difference between their speeds is 15 Kmph, find the speed of the slower car? 2 कारों द्वारा 450 किमी की दूरी तय करने में लिए गए समय के बीच का अंतर 1 घंटा 30 मिनट है। यदि उनकी गति के बीच का अंतर 15 किमी प्रति घंटा है, तो धीमी कार की गति ज्ञात कीजिए?

  1. 45 km/hr 45 किमी / घंटा

  2. 75 km/hr 75 किमी / घंटा

  3. 80 km/hr 80 किमी / घंटा

  4. 60 km/hr 60 किमी / घंटा

  5. none of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let slower speed = s. Then faster speed = s + 15. Time difference = 450/s - 450/(s+15) = 1.5 hours. Multiplying by s(s+15): 450(s+15) - 450s = 1.5s(s+15). 6750 = 1.5s² + 22.5s. Dividing by 1.5: 4500 = s² + 15s. s² + 15s - 4500 = 0. (s + 75)(s - 60) = 0. Since speed can't be negative, s = 60 km/hr.

Multiple choice

Speed of a boat is 35 km per hour in still water and the speed of the stream is 15 km per hour. If the boat takes 14 hrs to go to a place and come back, the distance of the place is एक नाव की गति शांत जल में 35 किमी प्रति घंटा है और धारा की गति 15 किमी प्रति घंटा है। यदि नाव को एक स्थान पर जाने और वापस आने में 14 घंटे लगते हैं, तो उस स्थान की दूरी है

  1. 200 km 200 किमी

  2. 150 km 150 किमी

  3. 270 km 270 किमी

  4. 160 km 160 किमी

  5. none of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Speed in still water = 35 km/h, Stream speed = 15 km/h. Downstream speed = 35 + 15 = 50 km/h. Upstream speed = 35 - 15 = 20 km/h. Total time = 14 hours. Let distance be d. Then d/50 + d/20 = 14. This gives (2d + 5d)/100 = 14, so 7d = 1400, giving d = 200 km.

Multiple choice

A truck covers a distance of 368 km at a certain speed in 8 hours. how much time would a car take at an average speed which is 18 km/hr more than that of the speed of the truck to cover a distance which is 16 km more than that travelled by truck? एक ट्रक 8 घंटे में एक निश्चित गति से 368 किमी की दूरी तय करता है। एक कार औसत गति से कितना समय लेगी अगर उसकी गति ट्रक की गति से 18 किमी/घंटा अधिक है, और वो ट्रक द्वारा तय की गई दूरी से 16 किमी अधिक दूरी तय करती है ?

  1. 7 hours 7 घंटे

  2. 5 hours 5 घंटे

  3. 6 hours 6 घंटे

  4. 8 hours 8 घंटे

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

Truck speed = 368/8 = 46 km/hr. Car speed = 46 + 18 = 64 km/hr. Car distance = 368 + 16 = 384 km. Time = 384/64 = 6 hours.

Multiple choice

A man rows upstream 36 km and downstream 48 km taking 6hours each time. The speed of the current is एक आदमी धारा के प्रतिकूल 36 किमी और धारा के अनुकूल 48 किमी प्रत्येक बार 6 घंटे लेता है। धारा की गति है

  1. 0.5 kmph 0.5 किमी/घंटा

  2. 2 kmph 2 किमी/घंटा

  3. 1 kmph 1 किमी/घंटा

  4. 1.5 kmph 1.5 किमी/घंटा

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

Let boat speed in still water be b kmph and current speed be c kmph. Upstream speed = b - c, downstream speed = b + c. Time = distance/speed, so 36/(b-c) = 6 and 48/(b+c) = 6. This gives b-c = 6 and b+c = 8. Solving: 2b = 14, so b = 7 kmph; 2c = 2, so c = 1 kmph. The current speed is 1 kmph.