Ramesh travels by bus from city A to city B at an average speed of 44 km/hr. Suresh travels by taxi from city A to city B at an average speed of 77 km/hr and takes 3 hours less than the time taken by Ramesh. What is the distance (in km) between the two cities?a)363b)308c)280d)336Correct answer is option 'B'. Can you explain this answer?

Question

Answer

Let the time taken by Ramesh be T hours and the distance to be travelled be D km.

Speed = Distance/Time

44 = D/T

D = 44T ... (1)

77 = D/T- 3 ... (2)

Using (1) in (2), we get:

44T = 77(T - 3)

44T = 77T - 231

231 = 77T - 44T

T = 231/33

T= 7 hours

Distance = Time × Speed = 44 × 7 = 308 km

Answer

To solve this problem, let's first determine the time taken by Ramesh to travel from city A to city B.

Let the distance between the two cities be 'd' km.

Ramesh travels at an average speed of 44 km/hr, so the time taken by Ramesh to travel from A to B is given by:
Time taken by Ramesh = Distance / Speed = d / 44

Now, let's determine the time taken by Suresh to travel from city A to city B.

Suresh travels at an average speed of 77 km/hr, and takes 3 hours less than the time taken by Ramesh. So, the time taken by Suresh is given by:
Time taken by Suresh = Time taken by Ramesh - 3 = d / 44 - 3

Since both Ramesh and Suresh travel the same distance, we can equate the two expressions for time:

d / 44 = d / 44 - 3

Simplifying this equation, we get:

d / 44 - d / 44 = 3

Multiplying through by 44, we get:

d - d = 3 * 44

0 = 132

This equation is not possible, which means there is no solution. However, this contradicts the fact that there is a correct answer given in the options.

Therefore, there must be an error in the question or options provided. Without the correct information, it is not possible to determine the distance between the two cities.

Hence, the correct answer cannot be determined.

Similar SSC CGL Doubts

Dinesh and Ramesh start together from a certain point in the opposite direction on motorcycles. The speed of Dinesh is 60 km per hour and Ramesh 44 km per hour. What will be the distance between them after 15 minutes ? (SSC CGL 1st Sit. 2014)

Mohan and Suresh study in the same class. Mohan has secured more marks than Suresh in the terminal examination. Suresh’s rank is seventh from top among all the students in the class. Which of the following is definitely true?

If a person travels from a point L towards east for 12 km and then travels 5 km towards north and reaches a point M, then shortest distance from L to M is: (SSC CGL 1st Sit. 2015)

A person covered one-fourth of a distance at the speed of 2.5 kmph. He covered the remaining distance at the speed of 5 kmph. If he took half-an-hour for the entire journey, what distance did he travel?

Top Courses for SSC CGLView all

General Awareness for SSC CGL

Lucent for GK

Quantitative Aptitude for SSC CGL

Current Affairs & Hindu Analysis: Daily, Weekly & Monthly

How to Prepare for SSC CGL

Top Courses for SSC CGL

Top Courses for SSC CGL

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams