Bissoy.com
Doctors Medicines MCQs Q&A

The bus starts running from Lucknow to Kanpur at the speed of 40 km/hr and at the same time, a car runs from Kanpur to Lucknow at the speed of 50 km/hr. Both of them meet after 3 hours. What is the total distance between Lucknow and Kanpur?

The bus starts running from Lucknow to Kanpur at the speed of 40 km/hr and at the same time, a car runs from Kanpur to Lucknow at the speed of 50 km/hr. Both of them meet after 3 hours. What is the total distance between Lucknow and Kanpur? Correct Answer 270 km

Given:

The bus starts running from Lucknow to Kanpur at the speed of 40 km/hr and at the same time, the car runs from Kanpur to Lucknow at the speed of 50 km/hr

Both of them meet after 3 hours.

Concepts used:

Relative speed when vehicles move in the opposite direction = Speed of bus + speed of the car

Distance = Relative speed × time

Calculation:

Relative speed when vehicles move in the opposite direction = Speed of bus + speed of the car

= 40 km/hr + 50 km/hr

= 90 km/hr

The bus and car met after 3 hours.

Distance = Relative speed × time

Distance between Lucknow and Kanpur = 90 × 3 = 270 km

∴ Distance between Lucknow and Kanpur is equal to 270 km.

Related Questions

Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.
The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A car travels from city P to city Q in T hours with a speed of v km per hour. Distance between cities P and Q is D kilometers. If it increases its speed by 5 kmph it saves some time. Find the actual speed of the car. Statement I: If the car travels from P to Q with its actual speed of v kmph and come back with the speed of v + 5 kmph in 2T – 0.6 hrs Statement II: A bus start form Q at the same time when the car starts from P and the speed of the bus is 50% more than the speed of the car and the bus meets car after covering 60% of the distance Statement III: Distance between PQ is given by D2 – 25D + 200 = 0  
Three cars start from point A together and reach point B at equal intervals. Second car whose sped is less than third car but more than first car taken a u turn and starts its journey towards A whereas third car heads for point C which is 100 km away from point B. First car and third car meet each other at mid way of A and C after third car takes u turn from C. First car travels half the distance between A and B when second reaches B. The sum of speed of second car and third car is 100 kmh.  What is the difference between speed of third car and first car?
Study the two cases and answer in terms of relation between the two cases Case 1: The average speed of the bike is \(3\frac{3}{4}\) times the average speed of the bus. A car covers 720 km in 10 hours. How much distance (in km) will a bike cover in 50 minutes if the speed of the bus is half of the speed of the car? Case 2: The average speed of bike is \(1\frac{2}{5}\) times the average speed of the car. A bus covers 441 km in 7 hours. How much distance (in km) will a bike cover in 45 minutes if the speed of the car is twice the speed of the bus?
Two stations Lucknow Junction and Kanpur Central are 110 km apart on a straight track. Farakka Express starts from Lucknow Junction at 7 a.m. and travels towards Kanpur Central at 20 kmph. Another train Patna Express starts from Kanpur Central at 8 a.m. and travels towards Lucknow Junction at a speed of 25 kmph. At what time both trains will meet?
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: A train is running from Jaipur to Jammu at 8:00 am at the speed of 40 km/hr and another train is running from Jammu to Jaipur at 9:00 am at the speed of 60 km/hr. If the distance between Jaipur and Jammu is 640 km then find the distance from Jaipur when they meet? Quantity B: Shatabdi Express is running from Delhi to Kanpur at 7:00 am at the speed of 80 km/hr and Rajdhani Express is running after 2 hours of shatabdi express at the speed of 120 km/hr. Find out the distance from Delhi when they meet?
A person X starts from Lucknow and another person Y starts from Kanpur to meet each other. Speed of X is 25 km/h, while Y is 35 km/h. If the distance between Lucknow and Kanpur be 120 km and both X and Y start their journey at the same time, when they will meet ?
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: The average speed of a car is \(2\frac{3}{5}\) times the average speed of bus. A bike covers 270 km in 3 hour. How much distance will the car cover in 5 hours if the speed of the bus is one third of the speed of bike? Quantity B: The average speed of a train is \(1\frac{4}{7}\) times the average speed of car. The car covers a distance of 490 km in 5 hours. How much distance will the train cover in 10 hours?
If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined? (A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’? (B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed? (C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed? (D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?
A starts his car to move from Pune to Delhi at a speed of 40 km/h. B starts his car to go from Delhi to Pune after 1.5 hours of A’s starting at a speed of 70 km/h. Total distance between Pune and Delhi is 500 km. After how much time they will meet and how much distance they have covered when they meet?