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 general knowledge math & puzzles

Two trains, 200 kilometres apart, are moving towards each other, each going at a speed of 50 kmph. A crazy fly, starting on the front end on one of the trains flies back and forth between them at the rate of 75 kmph. It touches one train returns to the other and flies back, doing this continuously till the trains collide, crushing the insect. What is the total distance the fly travelled before it got crushed?

  1. 200Km

  2. 150 Km

  3. 75Km

  4. 300Km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The trains are 200km apart and close the gap at a combined speed of 100 kmph (50+50). They will collide in 2 hours. The fly travels at 75 kmph for those 2 hours, covering a total distance of 150 km.

Multiple choice general knowledge math & puzzles

A passenger train runs at the rate of 80 kmph. It starts from the station at some time. After 6 hours a goods trains leaves the station. The passenger train overtakes the goods train after 4 hours. The speed of goods train is:

  1. 32 km/h

  2. 50 km/h

  3. 45 km/h

  4. 64 km/h
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The passenger train travels for 4 hours at 80 kmph, covering 320 km. The goods train started 6 hours earlier, so it has been traveling for 10 hours (6 + 4) when overtaken. Speed = Distance / Time = 320 km / 10 h = 32 km/h.

Multiple choice general knowledge math & puzzles

A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs.What is the distance travelled?

  1. 110

  2. 240

  3. 210

  4. 100
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let distance be d km. Forward speed = d/7 km/hr. Return speed = d/5 km/hr. Given return speed is 12 km/hr faster: d/5 - d/7 = 12. Solving: 7d - 5d = 420, 2d = 420, d = 210 km. Verification: Forward speed = 30 km/hr, return speed = 42 km/hr (12 km/hr faster ✓).

Multiple choice general knowledge math & puzzles

After reaching the address byomkesh has to start the cycle chase. Byomkesh has old atlas cycle which he can drive at a speed of 10 m/s. however, he starts panting after 3 min and his reduces to 7 m/s. since, he is driving fast his speed drops to 5 m/s after 10 minutes as he gets completely exhausted. If the thief has seen him at a distance of 358 meter and has started running at a consistent speed of 8 m/s. when will be byomkesh able to catch the thief?

  1. 2 minutes

  2. Never

  3. 2 min 59 seconds later

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

Byomkesh starts 358 m behind the thief. His speed is 10 m/s, thief's is 8 m/s, so relative speed is 2 m/s. Time to catch = 358/2 = 179 seconds = 2 min 59 sec. He catches the thief before his speed drops.

Multiple choice general knowledge math & puzzles

A car left from a Place A at 8.12 am and reached the Place B, 180 miles distant at 11.57 am. What was its average speed in miles per hour?

  1. 60

  2. 45

  3. 48

  4. 50
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To solve this question, the user needs to know the formula for average speed, which is:

Average speed = total distance traveled / total time taken

The problem gives us the distance traveled, which is 180 miles, and the time taken, which is 3 hours and 45 minutes (the difference between 11.57 am and 8.12 am). However, we need to convert the time taken to hours and decimals of an hour (since average speed is typically measured in miles per hour).

Converting 3 hours and 45 minutes to hours and decimals of an hour:

3 hours + (45 minutes / 60 minutes per hour) = 3.75 hours

Now, we can use the formula to calculate the average speed:

Average speed = 180 miles / 3.75 hours ≈ 48 miles per hour

Therefore, the correct answer is:

The Answer is: C. 48

Multiple choice general knowledge math & puzzles

A is driving on a highway when the police fines him for over speeding and exceeding the limit by 10 km/hr. At the same time B is fined for over speeding by twice the amount by which A exceeded the limit. If he was driving at 35 km/hr what is the speed limit for the road?

  1. 20

  2. 12

  3. 30

  4. 15
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let limit be L. A's speed = L + 10. B's speed = L + 20. Given B's speed is 35 km/hr, L + 20 = 35, so L = 15 km/hr.

Multiple choice general knowledge math & puzzles

Two trains are 150 miles apart approaching each other at 60 mph and 90 mph respectively. A fly sitting on one train starts flying from it reaches the second train and immediately turns back and flies back to the first train,and turns around again. It goes on flying back and forth until the two trains collide. If the speed of the fly is 130 miles per hour, how much distance did it flied?

  1. 150 miles

  2. 125 miles

  3. 120 miles

  4. 130 miles
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The trains close the 150-mile gap at a combined speed of 150 mph (60+90), so they collide in exactly 1 hour. The fly flies continuously at 130 mph for this entire hour, covering 130 miles. This classic puzzle has a simple solution when you focus on time rather than the back-and-forth motion.

Multiple choice general knowledge math & puzzles

A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

  1. 40 sec

  2. 42 sec

  3. 45 sec

  4. 48 sec
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To pass the bridge completely, the train must travel its own length plus the bridge length: 360 m + 140 m = 500 m. Speed of 45 km/hr = 45 × (5/18) = 12.5 m/s. Time = Distance / Speed = 500 m / 12.5 m/s = 40 seconds. Option B (42 sec) would require incorrect speed conversion.

Multiple choice general knowledge math & puzzles

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?

  1. 3.6 sec

  2. 18 sec

  3. 36 sec

  4. 72 sec
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed in same direction: 45 - 9 = 36 km/hr = 10 m/s. Total distance = 240 m (initial gap) + 120 m (train length) = 360 m. Time = Distance/Speed = 360/10 = 36 seconds.

Multiple choice general knowledge math & puzzles

Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:

  1. 9

  2. 9.6

  3. 10

  4. 10.8
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When trains move in opposite directions, add their speeds: 60 + 40 = 100 km/hr. Convert to m/s by multiplying by 5/18, giving 27.78 m/s. Total distance to cover is sum of both lengths: 140 + 160 = 300 m. Time = distance/speed = 300/27.78 = 10.8 seconds.

Multiple choice general knowledge math & puzzles

Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

  1. 36

  2. 45

  3. 48

  4. 49
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For opposite directions, add speeds: 60 + 90 = 150 km/hr. Convert to m/s: 150 × 5/18 = 41.67 m/s. Convert lengths to meters: 1.10 + 0.9 = 2.0 km = 2000 m. Time = 2000/41.67 = 48 seconds.

Multiple choice general knowledge math & puzzles

Two runners started running from a particular point. The first runner runs 60 KMPH towards East and the second 80 KMPH towards North. Both the runners stop after 30 minutes. A third runner starts from the point where the first one stopped. How long will he take to reach the point where the second runner stopped if the third runner runs 100 KMPH?

  1. 40 minutes

  2. 25 Minutes

  3. 30 Minutes

  4. 35 Minutes
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Runner 1: 60 km/h × 0.5h = 30 km east. Runner 2: 80 km/h × 0.5h = 40 km north. Distance between points = sqrt(30² + 40²) = 50 km (right triangle). Runner 3 at 100 km/h needs: 50/100 = 0.5 hours = 30 minutes. The 3-4-5 Pythagorean triple applies here.