Exams › IBPS PO › Quantitative Aptitude

A started his journey from point X at a speed of 25 km/h at 10 a.m., and B started from point X at 4 p.m. at a speed of 40 km/h in the direction of A. Quantity I: Total distance covered by B when he crossed A Quantity II: 400 km

1. Quantity I < Quantity II
2. Quantity I > Quantity II
3. Quantity I = Quantity II or no relation
4. Quantity I ≤ Quantity II

Correct answer: Quantity I = Quantity II or no relation

Solution

A travels for 6 hours before B starts, so A gets a head start of \(25 \times 6 = 150\) km. B catches A with relative speed \(40-25=15\) km/h, so time taken after B starts is \(150/15=10\) hours and B covers \(40 \times 10 = 400\) km. Hence Quantity I equals Quantity II.

Related IBPS PO Quantitative Aptitude questions

• Vijay can cover a distance D with speed S in time T. He can cover the same distance with speed S + 10 in time T - 2. He can cover the same distance D with speed S - 15 in time T + 6. What can be found from the given data? (i) Time to cover 200 km with speed S + 10 (ii) Distance covered in T + 6 time with speed S + 10 (iii) Speed by which a tunnel can be crossed in T/2 hour (iv) Ratio between the time to cover distance D with speed S and the time to cover distance D - 5 with speed S + 10
• Two trains A and B cross each other in 12 seconds when they move towards each other. The speeds of trains A and B are 81 km/h and 54 km/h respectively. The length of train A is 150 metres more than the length of train B. Which of the following can be obtained from the above information? (i) Time taken by train B to cross a man moving in the same direction as train B. (ii) Time taken by train A to cross a platform of half its length. (iii) Length of train A. (iv) Speed of another train C whose length is equal to the average of the lengths of trains A and B.
• Direction (46–48): Read the data given below carefully and answer the question. A train runs between four stations A, B, C and D on Monday and Tuesday. The average speed of the train on Monday during the whole journey is 50 km/h and the average speed on Tuesday during the whole journey is 62.5 km/h. On Monday, the train takes one hour less to cover the distance between A and B than it does on Tuesday. The train takes equal time to cover the distance between B and C on both days, while it takes three hours more to cover the distance between C and D on Monday than on Tuesday. The distance between A and B is 40% less than that between C and D. The distance between B and C is 50% more than that between A and B. Note: There is no halt or stoppage from station A to D. Find the total time taken by the train to cover the distance from A to D on Tuesday.
• A train 120 m long crosses a pole in 6 seconds. Its speed is?
• A train running at a speed of 60 km/h crosses a pole in 9 seconds. What is the length of the train?
• A train 125 m long passes a man running at 5 km/h in the same direction as the train in 10 seconds. The speed of the train is:

⚔️ Practice IBPS PO Quantitative Aptitude free + battle 1v1 →