Bissoy.com
Doctors Medicines MCQs Q&A

The two people traveled a similar distance, but at different speeds. During this time Ghanshyam traveled at fixed speed which ran between 35 km/h and 40 km/h, similarly Sutirtha traveled at fixed speed, which was between 40 km/h and 45 km/h. While Ghanshyam took 7 hours to complete this journey, Sutirth took 6 hours. Which distance can be traveled by each in the distance given below?

The two people traveled a similar distance, but at different speeds. During this time Ghanshyam traveled at fixed speed which ran between 35 km/h and 40 km/h, similarly Sutirtha traveled at fixed speed, which was between 40 km/h and 45 km/h. While Ghanshyam took 7 hours to complete this journey, Sutirth took 6 hours. Which distance can be traveled by each in the distance given below? Correct Answer 252 km

Given:

Ghanshyam travelled at a speed between 35 to 40 km/h 

Suritha travelled at a speed between 40 to 45 km/h 

Time taken by Ghanshyam = 7 hours

Time taken by Sutirtha = 6 hours

Concept used :

Speed is inversely proportional to the time taken. 

Speed = Distance/time 

Calculations:

Ratio of speeds of Ghanshyam and Sutirtha 

Speed of Ghanshyam : Speed of sutirtha = (1/Time taken by Ghanshyam) : (1/speed of Sutirtha)

Speed of Ghanshyam : Speed of sutirtha = (1/7) : (1/6) 

⇒ 6 : 7

According to the question,

During this time Ghanshyam traveled at fixed speed which ran between 35 km/h and 40 km/h,

So, Ghanshyam speed must be multiple by 6.

Then, speed of the Ghanshyam be 36 km/hr

Similarly Sutirtha traveled at fixed speed, which was between 40 km/h and 45 km/h.

So, Ghanshyam speed must be multiple by 7.

Then, speed of the Sutirtha be 42 km/hr

Now, Ghanshyam speed at 36 km/h and Sutarthi speed at 42 km/h get the above ratio of speeds 

Distance travelled by Ghanshyam = 36 × 7 = 252 km 

Distance travelled by Sutarthi = 42 × 6 = 252 km 

∴ Distance travelled by them will be 252 km.

Shortcut Trick

Speed of Ghanshyam : Speed of Sutirtha = 6 : 7 

Now going through options

Distance must be divisible by both 6 and 7 as this is the ratio of speed

only 252 is getting divisible by 6 and 7 so 252 will be the answer

Related Questions

Ghanshyam and Raju got their marks(out of 50 marks) in 4 subjects i.e English, Science, Maths and Social. The avg marks obtained by Raju is 38. The ratio of marks obtained by Raju and Ghanshyam in Maths is 5 ∶ 6 and the average marks obtained by Ghanshyam is 41. If the marks scored by both of them in English and Science is same and in Social Raju got 5 marks less than Ghanshyam. What is the marks scored by them in English and Science if Raju scored 40 marks in Social?
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’?
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.
Directions: Four friends Raghu, Rajesh, Ramesh and Ravi complete their Graduation in different number of years. The one who took maximum time took eight years to complete his Graduation while the one who took least time took only three years to complete it.Ravi took more time only than Raghu and completed his Graduation in five years. Ramesh did not take longer time
than Rajesh to complete his Graduation. Question: Who took more years to complete his graduation among all ?
Two cars started from a particular spot. The car A ran straight at the speed of 30 kmph for 2 hours north and then took a right turn. It ran 40 km and again turned right. It stopped after 30 km. The car B ran straight towards east at the speed of 20 kmph for 2 hours and turned left. It ran for 10 km and then stopped. How far were these two cars from each other when both of them stopped at last?
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)?
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 speed of a car during the 2nd hour of its journey is thrice of that in the 1st hour. Also, its 3rd-hour speed is the average speed in the first two hours. If the car had traveled for the entire duration at the speed of 2nd-hour speed then it would have traveled 150 km more. By what percent distance covered in the first case will decrease than distance covered in the latter case in the same time i.e. 3 hours?
Suresh plans a trip from city A to city B which are ‘x’ km apart and returning to city A. There are two light traffic zones of 25 km length each where he goes at a speed of 20 km/hr and returns at a speed of 25 km/hr. There are two heavy traffic zones of 35 km length each where he goes with a speed of 14 km/hr and returns at a speed of 21 km/ hr. For other part of the journey he maintains his speed at 90 km/hr while going and 60 km/hr while returning. If it took 2 hrs extra to go to city B from city A than to return from city B to city A, what is the approximate average speed with he was moving during his return journey (in km/hr)?
Sam and Tom decide to travel to their home town in their cars. Sam covers 200 km in 6 hours on the first day of journey while Tom covers 350 km in 5 hours. Similarly, on the second, third and fourth day Sam took 20 hours and his average speed was 38 kmph whereas Tom took 15 hours. What will be the difference between their average speed if Tom and Sam cover the same distance in four days?