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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)363
- b)308
- c)280
- d)336
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Ramesh travels by bus from city A to city B at an average speed of 44...
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
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Community Answer
Ramesh travels by bus from city A to city B at an average speed of 44...
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.
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.
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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?
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