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 speed of rickshaw, car and scooter are in the ratio of 3 : 4 : 5. What is the ratio of the time taken by each one of them for covering the same distance? रिक्शा, कार और स्कूटर की चालों का अनुपात 3 : 4 : 5 है | समान दूरी को तय करने के लिए प्रत्येक के द्वारा लिए गए समय का अनुपात ज्ञात क्या है ?

  1. 2 : 3 : 4

  2. 1 : 2 : 3

  3. 20 : 15 : 12

  4. 5 : 4 :3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speeds are 3x, 4x, 5x. Time = Distance/Speed. For same distance, times are d/3x : d/4x : d/5x = 1/3 : 1/4 : 1/5. Multiplying by LCM 60: 20 : 15 : 12. Option C is correct.

Multiple choice

A person has to cover 6km in 45 minute. If he covers half of the distance in (2/3) time then what will be the speed of man for covering the remaining distance in remaining time? एक व्यक्ति को 6 किलोमीटर की दूरी 45 मिनट में तय करना है| यदि वह आधी दूरी (2/3) समय में पूरा करता है तो शेष दूरी को शेष समय में तय करने के लिए उस व्यक्ति की चाल क्या होगी?

  1. 3 lmph/ किमी./घंटा

  2. 8 lmph/ किमी./घंटा

  3. 12 lmph/ किमी./घंटा

  4. 15 lmph/ किमी./घंटा
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total distance is 6 km in 45 minutes (0.75 hours). Half distance (3 km) is covered in (2/3) of 45 minutes = 30 minutes = 0.5 hours. Speed used = 3/0.5 = 6 kmph. Remaining 3 km must be covered in remaining 15 minutes = 0.25 hours. Required speed = 3/0.25 = 12 kmph.

Multiple choice

To cover a distance, time taken by a boat to go downstream is half of the time taken by the boat to go upstream. What is the ratio of the speed of the boat in still water and speed of current?

  1. 2: 1

  2. 1: 3

  3. 3: 1

  4. 1: 2

  5. 3: 8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let boat speed = b and current speed = c. Downstream speed = b+c, upstream = b-c. Time ratio 1:2 means (b+c) = 2(b-c). Solving: b+c = 2b-2c, so 3c = b, giving ratio b:c = 3:1. The correct answer is 3:1.

Multiple choice

A boat travels a distance of 24 km downstream in 4 hours and it takes 6 hours to cover the same distance against the stream. What is the speed of the current?

  1. 5 km/hr.

  2. 2 km/hr.

  3. 1 km/hr.

  4. 1.5 km/hr.

  5. 5.5 km/hr.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let boat speed = b, current speed = c. Downstream: 24/(b+c) = 4, so b+c = 6 km/h. Upstream: 24/(b-c) = 6, so b-c = 4 km/h. Adding: 2b = 10, b = 5. Subtracting: 2c = 2, so c = 1 km/h. Option C is correct.

Multiple choice

A person covers 50 km distance in 3 hour and 40 km distance in 6 hours then find the average speed of person. एक व्यक्ति 50 किमी. दूरी को 3 घंटे में और 40 किमी दूरी को 6 घंटे में तय करता है व्यक्ति की औसत चाल ज्ञात कीजिए।

  1. 8 km/hr.(किमी./घंटा)

  2. 10 km/hr.(किमी./घंटा)

  3. 12 km/hr.(किमी./घंटा)

  4. 15 km/hr.(किमी./घंटा)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Average speed = Total distance / Total time. Total distance = 50 + 40 = 90 km. Total time = 3 + 6 = 9 hours. Average speed = 90/9 = 10 km/hr. Option B is correct.

Multiple choice

A man travelled a distance of 72 km in 12 hours. He travelled partly on foot at 5 km/hour and partly on bicycle at 10 km/hr., the distance travelled on foot is- एक व्यक्ति ने 72 किमी. दूरी की यात्रा 12 घंटे में की उसने आंशिक यात्रा 5 किमी/घंटा की गति से पैदल और आंशिक यात्रा 10 किमी प्रति घंटा की गति से साइकिल पर की। उसने कितनी दूरी की यात्रा पैदल की ?

  1. 50 km/किमी.

  2. 48 km/किमी.

  3. 52 km/किमी.

  4. 46 km/किमी.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance on foot = x km at 5 km/h, so time = x/5 hours. Distance on bicycle = (72-x) km at 10 km/h, so time = (72-x)/10 hours. Total time: x/5 + (72-x)/10 = 12. Solving gives x = 48 km.

Multiple choice

Two cars started from point A and B towards B and A respectively. They crosses each other in one hour and the first car reaches A, 5/6 hour before the second car reaches B. If the distance between A and B is 50 Km. What is the speed of the slower car?(in km/hr)

  1. 25

  2. 22

  3. 18

  4. 20

  5. 15
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let speeds be s1 and s2. They meet in 1 hour, so combined speed = 50 km/h, thus s1+s2=50. Crossing point is at distance s1 from A. First car travels remaining distance s2 at speed s1. Time = s2/s1. Second car travels s1 at speed s2, time = s1/s2. Difference = 5/6: s2/s1 - s1/s2 = 5/6. Solving gives s1=20, s2=30. Slower car = 20 km/h.

Multiple choice

A car covers 1/6 of the distance from A to B at the speed of 12 km/hr, 1/9 of the distance at 36 km/hr and the remaining at the speed of 24 km/hr. Find the average speed of whole journey. एक कार A से B तक की दूरी का 1/6 भाग 12 किमी./घ. की गति से चलती है, 1/9 भाग 36 किमी/घ. की गति से चलती है और शेष 24 किमी/घं. की गति से चलती है। पूरी यात्रा की औसत गति ज्ञात कीजिए।

  1. 24 km/hr./(किमी/घ.)

  2. 29 km/hr./(किमी/घ.)

  3. 21.24 km/hr./(किमी/घ.)

  4. 26.8 km/hr./(किमी/घ.)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total distance = D. Time for each part: t1 = (D/6)/12 = D/72, t2 = (D/9)/36 = D/324, t3 = (D - D/6 - D/9)/24 = (D × 11/18)/24 = 11D/432. Total time = D/72 + D/324 + 11D/432 = D(6/432 + 1.33/432 + 11/432) = D(18.33/432). Average speed = D / (18.33D/432) = 432/18.33 ≈ 23.56 km/hr. Hmm, this doesn't match. Let me recalculate: remaining = 1 - 1/6 - 1/9 = 13/18. Times: D/(6×12) = D/72, D/(9×36) = D/324, (13D/18)/24 = 13D/432. Total time = D(1/72 + 1/324 + 13/432) = D(6/432 + 1.33/432 + 13/432) = D(20.33/432). Speed = 432/20.33 ≈ 21.25 km/hr. This matches option C.

Multiple choice

A car can finish a certain journey in 10 hours at a speed of 48 km/hr. In order to cover the same distance in 8 hours, the speed of the car must be increased by- एक कार एक निश्चित यात्रा 48 किमी./घं. की चाल से 10 घंटे में करती है तो उसी दूरी को 8 घण्टे में तय करने के लिए कार की चाल में कितनी वृद्धि करनी चाहिए।

  1. 6 km/hr/किमी/घंटा

  2. 60 km/hr/किमी/घंटा

  3. 12 km/hr/किमी/घंटा

  4. 15 km/hr/किमी/घंटा
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Distance = Speed × Time = 48 × 10 = 480 km. To cover 480 km in 8 hours, new speed = 480/8 = 60 km/hr. Increase needed = 60 - 48 = 12 km/hr. Option B (60) is the new speed, not the increase — that's the trap.

Multiple choice

A jeep covers a distance of 3808 km in 28 hours. What is the speed of the jeep?
  1. $12 km/hr$
  2. $126 km/hr$
  3. $101 km/hr$
  4. $145 km/hr$

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

Speed = Distance ÷ Time. Here: 3808 km ÷ 28 hours = 136 km/hr. Since 136 km/hr is not listed in options A-D, the correct choice is 'None of these'. This tests basic speed calculation and checking if the answer matches given options.

Multiple choice

Arun left for city A from city B at 7.20 a.m. She travelled at the speed of 90 km/hr for 2 hours 20 minutes. After that the speed was reduced to 70 km/hr. If the distance between two cities is 350 kms, at what time did Arun reach city A?

  1. 11.20 a.m

  2. 11.40 a.m

  3. 10.20 a.m

  4. 10.40 a.m

  5. 12.20 a.m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Distance covered at 90 km/hr for 2 hours 20 minutes (2 1/3 hours) = 90 × 7/3 = 210 km. Remaining distance = 350 - 210 = 140 km. At 70 km/hr, time needed = 140/70 = 2 hours. Total time = 2 hours 20 minutes + 2 hours = 4 hours 20 minutes. Starting at 7:20 a.m., arrival time = 7:20 + 4:20 = 11:40 a.m.

Multiple choice

The speed of the boat in still water is 6 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a a distance of 22.5 km and comes back to the starting point. The total time taken by him- नाव की स्थिर जल में चाल 6 किमी./घंटा है और धारा की चाल 1.5 किमी./घंटा है | एक आदमी एक स्थान जोकि 22.5 किमी. दूर स्थित है, तक जाता है और वापस प्रारम्भिक बिंदु पर वापस आता है | उसके द्वारा लिया गया कुल समय है -

  1. 10 hours/घंटे

  2. 4 hours/घंटे 10 minutes/मिनट

  3. 6 hours/घंटे 10 minutes/मिनट

  4. 8 hours/घंटे
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Downstream speed = 6 + 1.5 = 7.5 kmph, upstream speed = 6 - 1.5 = 4.5 kmph. Time downstream = 22.5/7.5 = 3 hours. Time upstream = 22.5/4.5 = 5 hours. Total = 8 hours.

Multiple choice

A train runs at an average speed of 75 km/hr. If the distance to be covered is 1050 kms, how long will the train take to cover it? एक ट्रेन 75 किमी./घंटा की एक औसत गति से चलती है | यदि तय की जाने वाली दूरी 1050 किमी.है | इसे तय करने में ट्रेन कितना समय लेगी ?

  1. 13 hours/घंटे

  2. 12 hours/घंटे

  3. 15 hours/घंटे

  4. 14 hours/घंटे
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Time = Distance/Speed = 1050/75 = 14 hours. Option D matches this straightforward calculation.

Multiple choice

Two bikes are moving with speed v1, v2 towards a crossing along two roads. If their distance from the crossing be 40 metres and 50 metres at an instant of time then they do not collide if their speed are such that दो बाइक v1, v2 गतियो से दो सड़कों पर स्थित एक क्रासिंग की ओर गति कर रहीं हैं | यदि उनकी किसी क्षण क्रासिंग से दूरी 40 मीटर और 50 मीटर हैं तो वे एक दूसरे से नहीं टकराएगी यदि उनकी गतियाँ होगीं

  1. v1 : v2 = 16 : 25

  2. v1 : v2 ≠ 4 : 5

  3. v1 : v2 ≠ 5 : 4

  4. v1 : v2 = 25 : 16
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For no collision, bikes must reach the crossing at different times. Time for bike 1: 40/v1, time for bike 2: 50/v2. They don't collide if 40/v1 ≠ 50/v2, which simplifies to v1/v2 ≠ 40/50 = 4/5. Therefore, the condition for no collision is v1 : v2 ≠ 4 : 5, making option B correct. Option C would mean v1 : v2 ≠ 5 : 4, which is different.