Bissoy.com
Doctors Medicines MCQs Q&A

A goods train and a passenger train are running in same distance with a speed in the ratio of 7 : 9. The driver of the goods train observed that the passenger train coming from backward difference and crossed his train completely in 80 sec whereas a passenger on the passenger train observed that he crossed the goods train in 55 sec; Find the ratio of their length?

A goods train and a passenger train are running in same distance with a speed in the ratio of 7 : 9. The driver of the goods train observed that the passenger train coming from backward difference and crossed his train completely in 80 sec whereas a passenger on the passenger train observed that he crossed the goods train in 55 sec; Find the ratio of their length? Correct Answer 16 : 11

Given:

Ratio of speeds of goods train and passenger train = 7 ∶ 9

Time taken by the driver of the goods train to observe the passenger train = 80 seconds

Time taken by the driver of the passenger train to observe the goods train = 55 seconds

Formula Used:

Distance = Time/Speed

Ratio of the lengths of the trains ∝ Time taken by the respective trains

Calculation:

(Passenger train length)/(Goods train length) = 80/55

Hence the ratio of their lengths =  80 ∶ 55 = 16 ∶ 11

∴ The ratio of their lengths = 16 ∶ 11

Related Questions

There is only one rail track between stations A and B on a railway line. One hour after the northbound superfast train N leaves station A for station B, the southbound passenger train S reaches station A from station B. The speed of superfast train is twice that of express train E, while the speed of passenger train S is half of that of train E. On some one day train N leaves from station A to station B 20 minutes late than its usual schedule. Both Train N and Train S have increased their speed to maintain the schedule as per the table. If the superfast train doubles its speed, then what should be the ratio (approximately) of the speed of the passenger train to the speed of the superfast train so that the passenger train reaches the station on that day at the exact scheduled time.
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 train running with a constant speed of 80 km/h. A bike rider is just at the middle of the train and start chasing the train at 100 km/h. he crossed the train completely after 21.6 sec. In how many sec. he will cross the train completely, when they are running opposite to each other
Three friends want to hire a taxi for a trip. The taxi owner provides them with following three options: A. You can hire the taxi without an accompanying driver. This would cost you Rs. 2500 per day. Driver can be arranged from another agency for Rs. 500 per day. B. You can hire the taxi with driver from the first agency. This would cost you Rs. 2800 per day. But driver will have to be provided relief fund of Rs. 250 per day if total distance traveled exceeds 1500 KM. C. You can hire the taxi without an accompanying driver. This would cost you Rs. 2500 per day. Driver can be arranged from another agency for 50 paise per KM.  If the friends plan to travel to a place at a distance of 1500 kms and come back the next day, which tariff option should they choose? 
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?
What is the distance covered by boat N upstream in 5 hours? Which of the following option is sufficient alone to find the answer? A) Boat M is travelling downstream with 20% more downstream speed of boat N. Speed of boat M in still water is 10% more than the speed of boat N in still water. B) Boat M and Boat N are travelling downstream with speed 33 km/hr and 40 km/hr respectively and speed of boat M is still water is 2 times the speed of stream. C) Speed of boat M in still water is 6 km/hr less then speed of boat N in still water and speed of stream is 10 km/hr. D) Speed of stream is ½ times the speed of boat N in still water and downstream speed of boat M is 44 km/hr. E) Speed of stream is 10 km/hr and ratio of upstream speed of boat M and boat N is 3 : 2 respectively.
Questions below followed by three quantities. Find the relationship between them. Quantity I: Peter travels 25% distance of the total journey by car and 60% of the remaining by train and Bus in the respective ratio of 5 : 4 and the remaining distance he covers on feet. If the sum of the distance which he travels by car and by foot is 396 km, then find the total distance which Peter travels during his journey? Quantity II: A and B start at the same time with speeds of 60 km/hr and 75 km/hr respectively. If in covering the journey A takes 96 minutes longer than B, the total distance of the journey is? Quantity III: The length of the train and that of the platform are equal. If with a speed of 90 km/hr the train crosses the platform in 60 sec, then what is the length of the train (in metres)?
Three friends want to hire a taxi for a trip. The taxi owner provides them with following three options:  A. You can hire the taxi without an accompanying driver. This would cost you Rs. 2500 per day. Driver can be arranged from another agency for Rs. 500 per day.  B. You can hire the taxi with driver from the first agency. This would cost you Rs. 2800 per day. But driver will have to be provided relief fund of Rs.250 per day if total distance traveled exceeds 1500 KM.  C. You can hire the taxi without an accompanying driver. This would cost you Rs. 2500 per day. Driver can be arranged from another agency for 50 paise per KM.  If they had planned to travel total of 6000kms in 5 days. Which option would have been better? 
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.
Study the following questions carefully and answer accordingly. Quantity - I) If the time taken by a boat to cover the same distance in upstream is 2 hours more than downstream. The downstream speed of the boat and the speed of current is 16 kmph and 4 kmph then find the total distance travelled by the boat? Quantity - II) If the time taken by the boat in upstream and in downstream is 16 hours and 10 hours to cover the same distance. Then find the speed of boat in still water is how much percent of the speed of stream? Quantity – III) If the length of rectangle is twice of its breadth and 3 times more than the side of square and the difference between the side of square and length of rectangle is 15 cm then find the area of rectangle ?