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The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.?
Most Upvoted Answer
The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geet...
Given information:
- Calcutta Mail left Mumbai at 9 PM sharp.
- Two hours later, the Geetanjali Express started from Mumbai in the same direction.
- The Geetanjali Express overtook the Calcutta Mail at 5 AM on the next morning.
- Sum of the average speeds of the two trains is 140 km/h.
To find:
- Average speed of the two trains over this journey.
Approach:
- Let the speed of Calcutta Mail be x km/h and that of Geetanjali Express be y km/h.
- Distance covered by Calcutta Mail in 8 hours (from 9 PM to 5 AM) = 8x km.
- Distance covered by Geetanjali Express in 3 hours (from 11 PM to 2 AM) = 3y km.
- As the Geetanjali Express overtook the Calcutta Mail, the distance covered by both trains must be equal at the time of overtaking.
- Therefore, 8x = 3y + 8y (distance covered by Calcutta Mail = distance covered by Geetanjali Express + distance covered by Calcutta Mail during the additional 3 hours).
- Simplifying the above equation, we get x = 11/4 y.
- Sum of average speeds of the two trains = x + y = 140 km/h (given).
- Substituting x = 11/4 y in the above equation, we get 15/4 y = 140 km/h.
- Therefore, y = 37.33 km/h and x = 102.67 km/h (using x = 11/4 y).
- Average speed of the two trains over this journey = (x + y)/2 = (102.67 + 37.33)/2 = 70 km/h (approx).
Answer:
- Average speed of the two trains over this journey is 70 km/h (approx).
- Calcutta Mail left Mumbai at 9 PM sharp.
- Two hours later, the Geetanjali Express started from Mumbai in the same direction.
- The Geetanjali Express overtook the Calcutta Mail at 5 AM on the next morning.
- Sum of the average speeds of the two trains is 140 km/h.
To find:
- Average speed of the two trains over this journey.
Approach:
- Let the speed of Calcutta Mail be x km/h and that of Geetanjali Express be y km/h.
- Distance covered by Calcutta Mail in 8 hours (from 9 PM to 5 AM) = 8x km.
- Distance covered by Geetanjali Express in 3 hours (from 11 PM to 2 AM) = 3y km.
- As the Geetanjali Express overtook the Calcutta Mail, the distance covered by both trains must be equal at the time of overtaking.
- Therefore, 8x = 3y + 8y (distance covered by Calcutta Mail = distance covered by Geetanjali Express + distance covered by Calcutta Mail during the additional 3 hours).
- Simplifying the above equation, we get x = 11/4 y.
- Sum of average speeds of the two trains = x + y = 140 km/h (given).
- Substituting x = 11/4 y in the above equation, we get 15/4 y = 140 km/h.
- Therefore, y = 37.33 km/h and x = 102.67 km/h (using x = 11/4 y).
- Average speed of the two trains over this journey = (x + y)/2 = (102.67 + 37.33)/2 = 70 km/h (approx).
Answer:
- Average speed of the two trains over this journey is 70 km/h (approx).
Community Answer
The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geet...
The distance traveled by both the trains are equal.
ratio of time =8/6= 4/3
then ratio of speed = 3/4
since ,sum of their average speed is 140 km/he
then their respective speeds would be 60 and 80 km/ hr respectively.
using alligation
=60*4+80*3/ 4+3
= 480/7
68.57 km/ hr
ratio of time =8/6= 4/3
then ratio of speed = 3/4
since ,sum of their average speed is 140 km/he
then their respective speeds would be 60 and 80 km/ hr respectively.
using alligation
=60*4+80*3/ 4+3
= 480/7
68.57 km/ hr
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The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.?
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The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.?.
The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.?.
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The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.?, a detailed solution for The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.? has been provided alongside types of The Calcutta Mail left Mumbai at 9 PM sharp, Two hours later, the Geetanjali Express started from Mumbai in the same direction. The Geetanjali Ex press overtook the Calcutta Mail at 5 AM on the next morning. Find the average speed of the two trains over this journey, if the sum of their average speeds is 140 km/h.? theory, EduRev gives you an
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