Question 1

Two athletes run on a circular track of 400 m. Athlete A runs at 10 m/s and Athlete B runs at 6 m/s in the same direction, starting from the same point at the same time. After A completes 5 full laps, how many complete laps will B have completed?

Accepted Answer

Step 1: Time for A to complete 5 laps = (5 × 400) ÷ 10 = 2000 ÷ 10 = 200 seconds. Step 2: In 200 seconds, distance covered by B = 6 × 200 = 1200 m. Step 3: Number of laps by B = 1200 ÷ 400 = 3 complete laps.

Question 2

The speed of a boat in still water is 12 km/h. If it takes 6 hours to travel 60 km upstream, what is the speed of the stream?

Accepted Answer

Step 1: Upstream speed = Distance ÷ Time = 60 ÷ 6 = 10 km/h. Step 2: Upstream speed = Boat speed − Stream speed, so 10 = 12 − Stream speed. Step 3: Stream speed = 12 − 10 = 2 km/h.

Question 3

A and B run on a circular track of 500 m. 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, after how many seconds will A be exactly 2 laps ahead of B?

Accepted Answer

Step 1: A's speed = 500 ÷ 50 = 10 m/s. B's speed = 500 ÷ 100 = 5 m/s. Step 2: For A to be 2 laps ahead, A must gain 2 × 500 = 1000 m on B. Step 3: Relative speed = 10 − 5 = 5 m/s. Step 4: Time = 1000 ÷ 5 = 200 seconds.

Question 4

On a circular track of 1200 m, two runners start together from the same point. Runner P completes the track in 60 seconds, and Runner Q completes it in 80 seconds. Both run in the same direction. At what time will they meet again at the starting point?

Accepted Answer

Step 1: P's speed = 1200 ÷ 60 = 20 m/s. Q's speed = 1200 ÷ 80 = 15 m/s. Step 2: P completes one lap in 60 seconds, Q in 80 seconds. Step 3: They meet at the starting point when the time is a common multiple of their lap times. Step 4: LCM(60, 80) = 240 seconds.

Question 5

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 initially 500 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 = 500 ÷ 100 = 5 hours.

Question 6

A boat takes 5 hours to travel 80 km upstream and 4 hours to travel the same distance downstream. What is the speed of the stream?

Accepted Answer

Step 1: Upstream speed = 80 ÷ 5 = 16 km/h. Step 2: Downstream speed = 80 ÷ 4 = 20 km/h. Step 3: Stream speed = (Downstream − Upstream) ÷ 2 = (20 − 16) ÷ 2 = 4 ÷ 2 = 2 km/h.

Question 7

A boat covers 72 km downstream in 6 hours and 60 km upstream in 6 hours. What is the speed of the boat in still water?

Accepted Answer

Step 1: Downstream speed = 72 ÷ 6 = 12 km/h. Step 2: Upstream speed = 60 ÷ 6 = 10 km/h. Step 3: Boat speed = (Downstream + Upstream) ÷ 2 = (12 + 10) ÷ 2 = 22 ÷ 2 = 11 km/h.

Question 8

Two cyclists start from the same point on a circular track of circumference 600 m and travel in opposite directions. The first cyclist travels at 12 m/s and the second at 18 m/s. How many seconds will it take for them to meet for the first time?

Accepted Answer

Step 1: When moving in opposite directions on a circular track, they approach each other. Step 2: Relative speed = 12 + 18 = 30 m/s. Step 3: Time to meet = Track length ÷ Relative speed = 600 ÷ 30 = 20 seconds.

Question 9

A boat travels 48 km downstream in 3 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?

Accepted Answer

Step 1: Downstream speed = Distance ÷ Time = 48 ÷ 3 = 16 km/h. Step 2: Downstream speed = Boat speed + Stream speed, so 16 = Boat speed + 2. Step 3: Boat speed = 16 − 2 = 14 km/h.

Question 10

Two friends start jogging on a circular track of 800 m from the same point. Friend X jogs at 6 m/s and Friend Y jogs at 4 m/s in the same direction. How many times will X lap Y in 20 minutes?

Accepted Answer

Step 1: Convert 20 minutes to seconds: 20 × 60 = 1200 seconds. Step 2: Relative speed = 6 − 4 = 2 m/s. Step 3: Distance gained by X in 1200 seconds = 2 × 1200 = 2400 m. Step 4: Number of laps = 2400 ÷ 800 = 3 times.

Question 11

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 12

Two cyclists start from the same point and travel in opposite directions. Cyclist P travels at 15 km/h and Cyclist Q travels at 25 km/h. After how many hours will they be 160 km apart?

Accepted Answer

Step 1: When two objects move in opposite directions from the same point, their relative speed is the sum of their speeds. Step 2: Relative speed = 15 + 25 = 40 km/h. Step 3: Time = Distance ÷ Relative speed = 160 ÷ 40 = 4 hours.

Question 13

A train 200 m long passes another train 300 m long, both moving in the same direction. The first train travels at 80 km/h and the second at 60 km/h. How long will it take for the first train to completely pass the second train?

Accepted Answer

Step 1: When trains move in the same direction, relative speed = difference of speeds = 80 - 60 = 20 km/h. Step 2: Convert to m/s: 20 × (5/18) = 50/9 m/s ≈ 5.56 m/s. Step 3: Total distance to cover = sum of lengths = 200 + 300 = 500 m. Step 4: Time = Distance ÷ Speed = 500 ÷ (50/9) = 500 × (9/50) = 90 seconds. Therefore, the answer is 90 seconds.

Question 14

A train 150 m long passes a stationary pole in 10 seconds. What is the speed of the train in m/s?

Accepted Answer

Step 1: When a train passes a pole, the distance covered equals the length of the train. Step 2: Speed = Distance ÷ Time = 150 ÷ 10 = 15 m/s. Therefore, the answer is 15 m/s.

Question 15

A car is chasing a bike on the same road. The car travels at 80 km/h and the bike travels at 50 km/h. If the bike is 90 km ahead, how long will it take for the car to catch the bike?

Accepted Answer

Step 1: When one object chases another in the same direction, relative speed = difference of speeds. Step 2: Relative speed = 80 - 50 = 30 km/h. Step 3: Time = Distance ÷ Relative speed = 90 ÷ 30 = 3 hours.

Question 16

A man can row 36 km downstream in 4 hours. The speed of the current is 1.5 km/h. What is his speed upstream?

Accepted Answer

Step 1: Downstream speed = 36 ÷ 4 = 9 km/h. Step 2: Boat speed = Downstream speed − Current speed = 9 − 1.5 = 7.5 km/h. Step 3: Upstream speed = Boat speed − Current speed = 7.5 − 1.5 = 6 km/h.

Question 17

Two runners, A and B, start running on a circular track of length 400 m 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: For A to lap B, A must gain one complete lap (400 m) on B. Step 2: Relative speed = 8 − 6 = 2 m/s. Step 3: Time = Distance ÷ Relative speed = 400 ÷ 2 = 200 seconds.

Question 18

Two runners start a race from the same point. Runner X runs at 12 m/s and Runner Y runs at 8 m/s in the same direction. How many seconds will it take for Runner X to be 100 metres ahead of Runner Y?

Accepted Answer

Step 1: Relative speed = 12 - 8 = 4 m/s (since they run in the same direction). Step 2: Time = Distance ÷ Relative speed = 100 ÷ 4 = 25 seconds.

Question 19

A boat's speed in still water is 10 km/h and the stream speed is 3 km/h. How long will it take to travel 91 km upstream?

Accepted Answer

Step 1: Upstream speed = Boat speed − Stream speed = 10 − 3 = 7 km/h. Step 2: Time = Distance ÷ Speed = 91 ÷ 7 = 13 hours.

Question 20

A boat travels upstream at 12 km/h and downstream at 20 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 = 20. Upstream speed = B - C = 12. Step 3: Adding both equations: 2B = 32, so B = 16 km/h.

SBI Clerk Time, Speed & Distance Questions

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