Bissoy.com
Doctors Medicines MCQs Q&A

A train covered 30% of its distance at the speed of 30 km/hr, 5/7th part of the remaining distance covered at the speed of 50 km/hr, and the rest of the distance covered at the speed of 20 km/hr. What is the train's average speed during the journey if the total distance covered by the train is 1587 km?

A train covered 30% of its distance at the speed of 30 km/hr, 5/7th part of the remaining distance covered at the speed of 50 km/hr, and the rest of the distance covered at the speed of 20 km/hr. What is the train's average speed during the journey if the total distance covered by the train is 1587 km? Correct Answer 100/3 km/hr

Given:

The total distance traveled by train is 1587 km.

30% of distance at the speed of 30 km/hr,

5/7th part of the remaining distance covered by 50 km/hr,

Rest of the distance covered at the speed of 20 km/hr.

Formula Used:

Speed = Distance/Time

Aerage Speed = Total distance traveled/Total time taken

Calculation:

30% = 30/100 = 3/10

Let the total distance be x km

⇒ 3x/10 km travelled by 30km/hr

Time required to travel 3x/10km by 30 km/hr is,

⇒ Time = {3x/10}/30 = 3x/300 = x/100      ----(I)

Remaining distance to travel is,

⇒ x – 3/10(x) = (10 – 3)x/10 = 7x/10

Now 5/7th of remaining part traveled by 50km/hr.

⇒ 5/7 × (7x/10) = x/2   

⇒ x/2 km traveled by 50 km/hr

Time required to travel x/2 km by 50 km/hr is,

⇒ Time = {x/2}/50 = x/100      ----(II)

Over all remaining distance is,

⇒ x – (3x/10 + x/2) = x – (8x/10) 

⇒ 2x/10 = x/5 

⇒ x/5 km distance traveled by 20 km/hr

Time required to travel x/5 km by 20 km/hr is,

⇒ Time = {x/5}/20= x/100      ----(III)

According to the question,

Average speed = x/{x/100 + x/100 + x/100}

⇒ Average speed = x/(3x/100) = 100/3

∴ The average speed of a train is 100/3 km/hr

Related Questions

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)?
A, B, C, D, E, F and G are seven coaches. Each one among them is a coach of a different game. The games are Hockey, Cricket, Badminton, Tennis, Volleyball, Basketball and Football (not necessarily in the same order). Each of them trains on one of the seven days of the week from Monday to Sunday (not necessarily in the same order). No two coaches train on the same day of the week. C trains Badminton on Friday. B teaches Volleyball on the previous day of the day on which a coach trains Hockey. G trains on Sunday but does not train Cricket or Tennis. D trains Basketball on the previous day of the day on which F trains. A trains Football on Tuesday. E does not train Tennis. On which day does F train?
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 choose the correct option. Quantity A: A man covered 158 km which is half of the total distance in 3 hrs. 18 min. and completed the remaining journey at a speed of 45 km/hr. Find the average speed of his journey. Quantity B: A train completes a journey of 480 km in 10 hrs. 45 min. If the train halted for a total time of 30 min. in the whole journey, find the average speed of the train.
Half of the total journey is covered at the speed of 90 km/hr, while 1/3 of total journey is covered at the speed of 75 km/hr and 1/6 of total journey is covered at the rate of 50 km/hr. Find the average speed of the whole journey in m/s if distance of total journey is 900 km.
In the following question, the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct. 1. A few countries already use powerful electromagnets to build high-speed trains. P. Since maglev trains float in the air, there is no friction between the train and the track. Q. Maglev trains work on the principles of magnetism and float over a guideway. R. Maglev is the shortened form of magnetic levitation. S. These trains are called maglev trains. 6. This lack of friction and the aerodynamic design of these trains allow them to reach speeds of over 500 kilometers per hour.
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.
A train running at an average speed of 40 km/hr covers 200 km until it reaches its first stoppage where it stops for a certain time. After a stoppage, the train covers the remaining distance at an average speed of 60 km/hr unit it completes the journey in a total of 10 hours 36 minutes. had the remaining distance been covered at a speed that increases by 10 km/hr every hour starting with 20 km/hr then the remaining distance would have been covered in 51/8 hours, Find the stoppage time? 
A car covered 60% of its journey at a speed of 60 km/hr. and the remaining journey at a speed of 50 km/hr. If the car had travelled at a speed of 50 km/hr. throughout its journey, it would have covered 40 km less in the same time. How much distance did the car covered in its journey?
On a journey, Mohan drove from City P to city Q to city R. His average speed for the whole journey was 20 km/hr. Find the average speed on his journey from city Q to city R. I: Average speed during the journey from city P to city Q is 20 km/hr. II: Total time taken for the entire journey is 7 hours. III: Ratio of distance traveled while going from P to Q and Q to R is 3 : 4.
The average speed of a train is 20% less on the return journey than on onward journey. The train halts for half an hour at the destination station before starting on the return journey. If the total time taken for the to and fro journey is 23 hours, covering a distance of 1000 km, the speed of the train on the return journey is: