Question 1

Train A covers a distance of 180 km in 3 hours. How long will it take to cover 420 km at the same speed?

Accepted Answer

Step 1: Find the speed using Speed = Distance ÷ Time = 180 ÷ 3 = 60 km/h. Step 2: Find time for 420 km using Time = Distance ÷ Speed = 420 ÷ 60 = 7 hours. Therefore, the answer is 7 hours.

Question 2

A and B run on a circular track of 500 metres. A completes one lap in 50 seconds while B completes one lap in 100 seconds. If they start together from the same point in the same direction, how many times will A overtake B in 500 seconds?

Accepted Answer

Step 1: Speed of A = 500 ÷ 50 = 10 m/s. Speed of B = 500 ÷ 100 = 5 m/s. Step 2: Relative speed = 10 - 5 = 5 m/s. Step 3: Time for A to lap B once = 500 ÷ 5 = 100 seconds. Step 4: Number of times A overtakes B in 500 seconds = 500 ÷ 100 = 5 times.

Question 3

A train travels 240 km in 4 hours at a constant speed. What is the speed of the train in km/h?

Accepted Answer

Step 1: Use the formula Speed = Distance ÷ Time. Step 2: Speed = 240 ÷ 4 = 60 km/h. Therefore, the answer is 60 km/h.

Question 4

A runner and a cyclist start from the same point and travel in the same direction. The runner's speed is 12 km/h and the cyclist's speed is 20 km/h. How far ahead will the cyclist be after 2.5 hours?

Accepted Answer

Step 1: Distance covered by runner in 2.5 hours = 12 × 2.5 = 30 km. Step 2: Distance covered by cyclist in 2.5 hours = 20 × 2.5 = 50 km. Step 3: Difference = 50 − 30 = 20 km.

Question 5

A train moving at 72 km/h needs to cover 360 km. If it stops for 30 minutes during the journey, what is the total time taken (including the stop)?

Accepted Answer

Step 1: Convert speed to consistent units: 72 km/h. Step 2: Calculate travel time using Time = Distance ÷ Speed = 360 ÷ 72 = 5 hours. Step 3: Add the stop time: 5 hours + 0.5 hours = 5.5 hours or 5 hours 30 minutes. Therefore, the answer is 5 hours 30 minutes.

Question 6

Train P and Train Q are moving in the same direction on parallel tracks. Train P travels at 80 km/h and Train Q travels at 50 km/h. If Train P is initially 90 km behind Train Q, how many hours will it take for Train P to catch up with Train Q?

Accepted Answer

Step 1: When trains move in the same direction, the relative speed is the difference of their speeds. Relative speed = 80 - 50 = 30 km/h. Step 2: Train P must cover the initial gap of 90 km at the relative speed. Time = Distance ÷ Relative Speed = 90 ÷ 30 = 3 hours. Therefore, the answer is 3 hours.

Question 7

Two cars travel towards each other from two cities that are 240 km apart. Car A travels at 45 km/h and Car B travels at 75 km/h. At what distance from Car A's starting point will they meet?

Accepted Answer

Step 1: Relative speed = 45 + 75 = 120 km/h. Step 2: Time to meet = 240 ÷ 120 = 2 hours. Step 3: Distance from Car A's starting point = 45 × 2 = 90 km.

Question 8

A man cycles at 15 km/h and a woman cycles at 10 km/h in the same direction on the same road. If the woman starts 30 km ahead, how long will it take the man to catch up with the woman?

Accepted Answer

Step 1: When both move in the same direction, relative speed = faster speed − slower speed = 15 − 10 = 5 km/h. Step 2: The man needs to cover the 30 km gap at this relative speed. Step 3: Time = Distance ÷ Relative speed = 30 ÷ 5 = 6 hours.

Question 9

A boat travels upstream at 8 km/h and downstream at 12 km/h. What is the speed of the boat in still water?

Accepted Answer

Step 1: Let the speed of the boat in still water be B and the speed of the current be C. Step 2: Downstream speed = B + C = 12 km/h. Upstream speed = B − C = 8 km/h. Step 3: Adding both equations: 2B = 20, so B = 10 km/h.

Question 10

Two joggers start from the same point on a circular track of 800 metres and jog in opposite directions at 6 m/s and 4 m/s respectively. How many seconds after the start will they meet for the second time?

Accepted Answer

Step 1: Since they jog in opposite directions, relative speed = 6 + 4 = 10 m/s. Step 2: For the first meeting, they cover the entire track length together = 800 metres. Time for first meeting = 800 ÷ 10 = 80 seconds. Step 3: For the second meeting, they again need to cover 800 metres at relative speed 10 m/s. Step 4: Total time for second meeting = 80 + 80 = 160 seconds.

Question 11

On a circular track of 1200 metres, runner X takes 120 seconds to complete one lap while runner Y takes 150 seconds. Starting together from the same point in the same direction, after how many seconds will X be exactly 2 laps ahead of Y?

Accepted Answer

Step 1: Speed of X = 1200 ÷ 120 = 10 m/s. Speed of Y = 1200 ÷ 150 = 8 m/s. Step 2: Relative speed = 10 - 8 = 2 m/s. Step 3: For X to be 2 laps ahead, X must cover 2 × 1200 = 2400 metres more than Y. Step 4: Time = 2400 ÷ 2 = 1200 seconds.

Question 12

Two athletes P and Q run on a circular track of 400 metres. P runs at 12 m/s and Q runs at 8 m/s, both starting from the same point in the same direction. What is the time interval between their first and second meetings?

Accepted Answer

Step 1: Relative speed = 12 - 8 = 4 m/s (same direction). Step 2: For each meeting, P must lap Q, which means P covers 400 metres more than Q. Step 3: Time for one lapping = 400 ÷ 4 = 100 seconds. Step 4: First meeting occurs at 100 seconds, second meeting at 200 seconds. Step 5: Time interval = 200 - 100 = 100 seconds.

Question 13

Two trains are moving towards each other on parallel tracks. Train X travels at 50 km/h and Train Y travels at 40 km/h. If they are initially 270 km apart, in how many hours will they meet?

Accepted Answer

Step 1: When trains move towards each other, their relative speed is the sum of their individual speeds. Relative speed = 50 + 40 = 90 km/h. Step 2: Use Time = Distance ÷ Relative Speed = 270 ÷ 90 = 3 hours. Therefore, the answer is 3 hours.

Question 14

A train 150 metres long is moving at 60 km/h. How long will it take to completely pass a stationary platform of length 250 metres?

Accepted Answer

Step 1: The train must cover its own length plus the platform length: Total distance = 150 + 250 = 400 metres. Step 2: Convert speed to m/s: 60 km/h = 60 × (5/18) = 50/3 m/s ≈ 16.67 m/s. Step 3: Calculate time using Time = Distance ÷ Speed = 400 ÷ (50/3) = 400 × (3/50) = 24 seconds. Therefore, the answer is 24 seconds.

Question 15

Two runners, A and B, start running on a circular track of length 400 metres at the same time from the same point. A runs at 8 m/s and B runs at 6 m/s in the same direction. After how many seconds will A lap B for the first time?

Accepted Answer

Step 1: Relative speed = 8 - 6 = 2 m/s (since they run in the same direction). Step 2: For A to lap B, A must cover one complete lap more than B, which is 400 metres. Step 3: Time = Distance ÷ Relative Speed = 400 ÷ 2 = 200 seconds.

Question 16

Two buses start from the same point and travel in opposite directions. Bus X travels at 50 km/h and Bus Y travels at 70 km/h. After how many hours will they be 360 km apart?

Accepted Answer

Step 1: When objects move in opposite directions, relative speed = sum of speeds = 50 + 70 = 120 km/h. Step 2: Time = Distance ÷ Relative speed = 360 ÷ 120 = 3 hours.

Question 17

Two cyclists start from opposite ends of a circular track of 600 metres and cycle towards each other at speeds of 10 m/s and 15 m/s respectively. In how many seconds will they meet for the first time?

Accepted Answer

Step 1: Since they cycle towards each other (opposite directions), relative speed = 10 + 15 = 25 m/s. Step 2: They will meet when the sum of distances covered equals the track length = 600 metres. Step 3: Time = Distance ÷ Relative Speed = 600 ÷ 25 = 24 seconds.

Question 18

Two trains are moving towards each other on parallel tracks. Train A travels at 60 km/h and Train B travels at 40 km/h. If they are currently 150 km apart, in how many hours will they meet?

Accepted Answer

Step 1: When two objects move towards each other, their relative speed is the sum of their individual speeds. Step 2: Relative speed = 60 + 40 = 100 km/h. Step 3: Time = Distance ÷ Relative speed = 150 ÷ 100 = 1.5 hours.

Question 19

Two joggers start from the same point on a circular track of length 800 metres. Jogger X runs at 6 m/s and Jogger Y runs at 4 m/s in the same direction. How many times will X lap Y in 20 minutes?

Accepted Answer

Step 1: Relative speed = 6 − 4 = 2 m/s. Step 2: Time for one lap (X lapping Y) = 800 ÷ 2 = 400 seconds. Step 3: Total time = 20 minutes = 1200 seconds. Step 4: Number of laps = 1200 ÷ 400 = 3 times.

Question 20

Two cyclists start from opposite ends of a circular track of circumference 600 metres at the same time. They cycle towards each other at speeds of 12 m/s and 8 m/s respectively. How many times will they meet in the first 5 minutes?

Accepted Answer

Step 1: When moving towards each other on a circular track, relative speed = 12 + 8 = 20 m/s. Step 2: Time for first meeting = 600 ÷ 20 = 30 seconds. Step 3: In 5 minutes (300 seconds), number of meetings = 300 ÷ 30 = 10 times.

SBI PO Time, Speed & Distance Questions

SBI PO Time, Speed & Distance — Past Exam Questions

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