Question 1

A cyclist travels at 15 km/h for 2 hours, then at 20 km/h for 3 hours. What is the average speed for the entire journey?

Accepted Answer

Step 1: Calculate distance in first segment: Distance₁ = Speed₁ × Time₁ = 15 × 2 = 30 km. Step 2: Calculate distance in second segment: Distance₂ = Speed₂ × Time₂ = 20 × 3 = 60 km. Step 3: Total distance = 30 + 60 = 90 km. Step 4: Total time = 2 + 3 = 5 hours. Step 5: Average speed = Total distance ÷ Total time = 90 ÷ 5 = 18 km/h.

Question 2

Two runners start from the same point. Runner A runs at 8 m/s and Runner B runs at 6 m/s. After how many seconds will Runner A be 100 metres ahead of Runner B?

Accepted Answer

Step 1: Find the relative speed (difference in speeds): Relative speed = 8 - 6 = 2 m/s. Step 2: Runner A gains 100 metres on Runner B at a relative speed of 2 m/s. Step 3: Time = Distance ÷ Relative speed = 100 ÷ 2 = 50 seconds.

Question 3

A train 200 metres long crosses a platform 400 metres long in 30 seconds. What is the speed of the train in km/h?

Accepted Answer

Step 1: When a train crosses a platform, the total distance covered = Length of train + Length of platform = 200 + 400 = 600 metres. Step 2: Speed = Distance ÷ Time = 600 ÷ 30 = 20 m/s. Step 3: Convert to km/h: 20 × (18/5) = 20 × 3.6 = 72 km/h.

Question 4

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 5

A boat's speed in still water is 10 km/h and the stream speed is 3 km/h. How long will it take the boat 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 6

A car covers 150 km at a speed of 50 km/h. How much time does it take?

Accepted Answer

Step 1: Use the formula Time = Distance ÷ Speed. Step 2: Time = 150 ÷ 50 = 3 hours.

Question 7

Two runners, A and B, start from the same point. A runs at 12 km/h and B runs at 8 km/h in the same direction. After how many hours will A be exactly 20 km ahead of B?

Accepted Answer

Step 1: Relative speed = 12 - 8 = 4 km/h (A is faster). Step 2: Time to gain 20 km = Distance ÷ Relative Speed = 20 ÷ 4 = 5 hours.

Question 8

A train travels 240 km in 4 hours. If it increases its speed by 20%, how much distance will it cover in 5 hours at the new speed?

Accepted Answer

Step 1: Original speed = 240 ÷ 4 = 60 km/h. Step 2: New speed = 60 + (20% of 60) = 60 + 12 = 72 km/h. Step 3: Distance in 5 hours = 72 × 5 = 360 km.

Question 9

Rajesh cycles from City A to City B at 15 km/h and returns at 10 km/h. If the total journey takes 10 hours, what is the distance between the two cities?

Accepted Answer

Step 1: Let distance = d km. Step 2: Time for A to B = d/15 hours. Time for B to A = d/10 hours. Step 3: Total time = d/15 + d/10 = 10. Step 4: (2d + 3d)/30 = 10 → 5d/30 = 10 → d/6 = 10 → d = 60 km.

Question 10

A car travels from P to Q at 60 km/h and from Q to P at 40 km/h. The total time for the round trip is 10 hours. What is the distance between P and Q?

Accepted Answer

Step 1: Let distance = d km. Step 2: Time P to Q = d/60 hours; Time Q to P = d/40 hours. Step 3: Total time = d/60 + d/40 = 10. Step 4: LCM(60,40) = 120. (2d + 3d)/120 = 10 → 5d/120 = 10 → d = 240 km.

Question 11

A boat travels 48 km downstream in 3 hours and 48 km upstream in 6 hours. What is the speed of the boat in still water?

Accepted Answer

Step 1: Downstream speed = 48/3 = 16 km/h. Upstream speed = 48/6 = 8 km/h. Step 2: Speed of boat in still water = (Downstream speed + Upstream speed)/2 = (16 + 8)/2 = 12 km/h.

Question 12

A train travels from Station A to Station B, a distance of 480 km. It covers the first 240 km at 60 km/h and the remaining distance at 80 km/h. A car travels the same route at a constant speed and takes the same total time as the train. What is the speed of the car in km/h?

Accepted Answer

Step 1: Calculate time for first 240 km at 60 km/h: Time₁ = 240 ÷ 60 = 4 hours. Step 2: Calculate time for remaining 240 km at 80 km/h: Time₂ = 240 ÷ 80 = 3 hours. Step 3: Total time = 4 + 3 = 7 hours. Step 4: Car travels 480 km in 7 hours, so speed = 480 ÷ 7 ≈ 68.57 km/h. However, for clean answer: Speed = 480/7 = 68 4/7 km/h. Rounding to nearest practical value in exam context: approximately 68.6 km/h or exactly 480/7. The expected answer is 480/7 km/h which simplifies to 68 4/7 km/h.

Question 13

A boat travels 60 km upstream and 90 km downstream in a total of 12 hours. The speed of the boat in still water is 12.5 km/h. What is the speed of the current in km/h?

Accepted Answer

Step 1: Let speed of current = c km/h. Upstream speed = (12.5 - c) km/h. Downstream speed = (12.5 + c) km/h. Step 2: Time upstream = 60/(12.5 - c) hours. Time downstream = 90/(12.5 + c) hours. Step 3: Total time equation: 60/(12.5 - c) + 90/(12.5 + c) = 12. Step 4: Let 12.5 - c = u and 12.5 + c = d. Then u + d = 25 and d - u = 2c. Step 5: 60/u + 90/d = 12. Multiply through: 60d + 90u = 12ud. Step 6: 60(12.5 + c) + 90(12.5 - c) = 12(12.5 - c)(12.5 + c). Step 7: 750 + 60c + 1125 - 90c = 12(156.25 - c²). Step 8: 1875 - 30c = 1875 - 12c². Step 9: 12c² - 30c = 0. Step 10: 6c(2c - 5) = 0. So c = 0 or c = 2.5. Since c ≠ 0, speed of current = 2.5 km/h.

Question 14

A car travels from City X to City Y at an average speed of 80 km/h. On the return journey, due to traffic, the car travels at 60 km/h. If the total time for the round trip is 14 hours, what is the distance between City X and City Y in km?

Accepted Answer

Step 1: Let distance between X and Y = d km. Step 2: Time from X to Y = d/80 hours. Time from Y to X = d/60 hours. Step 3: Total time = d/80 + d/60 = 14 hours. Step 4: Find LCM of 80 and 60 = 240. Step 5: (3d + 4d)/240 = 14. Step 6: 7d/240 = 14. Step 7: 7d = 14 × 240 = 3360. Step 8: d = 3360/7 = 480 km.

IBPS RRB PO Time, Speed & Distance Questions

IBPS RRB PO Time, Speed & Distance — Past Exam Questions

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