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The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.
- a)34.28 km/h
- b)35 km/h
- c)50 km/h
- d)12 km/h
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The Sinhagad Express left Pune at noon sharp. Two hours later, the Dec...
Given information:
- Sinhagad Express left Pune at noon sharp.
- Deccan Queen started from Pune in the same direction two hours later.
- The Deccan Queen overtook the Sinhagad Express at 8 p.m.
- Sum of their average speeds is 70 km/h.
To find: Average speed of the two trains over this journey.
Solution:
Let's assume the average speed of Sinhagad Express as x km/h and the average speed of Deccan Queen as y km/h.
Time taken by Sinhagad Express to cover the distance before being overtaken = 8 - 12 = 4 hours.
Time taken by Deccan Queen to cover the same distance = 8 - 2 = 6 hours.
Distance covered by Sinhagad Express = x * 4 km
Distance covered by Deccan Queen = y * 6 km
As both trains covered the same distance, we can equate the distances:
x * 4 = y * 6
Also, we know that the sum of their average speeds is 70 km/h:
x + y = 70
Now, we have two equations:
x * 4 = y * 6
x + y = 70
Solving these equations, we get:
x = 20 km/h
y = 50 km/h
Therefore, the average speed of the two trains over this journey is:
Average speed = (x + y) / 2
= (20 + 50) / 2
= 35 km/h
Hence, option (b) 35 km/h is the correct answer.
- Sinhagad Express left Pune at noon sharp.
- Deccan Queen started from Pune in the same direction two hours later.
- The Deccan Queen overtook the Sinhagad Express at 8 p.m.
- Sum of their average speeds is 70 km/h.
To find: Average speed of the two trains over this journey.
Solution:
Let's assume the average speed of Sinhagad Express as x km/h and the average speed of Deccan Queen as y km/h.
Time taken by Sinhagad Express to cover the distance before being overtaken = 8 - 12 = 4 hours.
Time taken by Deccan Queen to cover the same distance = 8 - 2 = 6 hours.
Distance covered by Sinhagad Express = x * 4 km
Distance covered by Deccan Queen = y * 6 km
As both trains covered the same distance, we can equate the distances:
x * 4 = y * 6
Also, we know that the sum of their average speeds is 70 km/h:
x + y = 70
Now, we have two equations:
x * 4 = y * 6
x + y = 70
Solving these equations, we get:
x = 20 km/h
y = 50 km/h
Therefore, the average speed of the two trains over this journey is:
Average speed = (x + y) / 2
= (20 + 50) / 2
= 35 km/h
Hence, option (b) 35 km/h is the correct answer.
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Community Answer
The Sinhagad Express left Pune at noon sharp. Two hours later, the Dec...
The ratio of time for the travel is 4:3 (Sinhagad to Deccan Queen). Hence, the ratio of speeds would be 3:4.
Since, the sum of their average speeds is 70 kmph, their respective speeds would be 30 and 40 kmph respectively.
Use alligation to get the answer as 34.28 kmph.
Since, the sum of their average speeds is 70 kmph, their respective speeds would be 30 and 40 kmph respectively.
Use alligation to get the answer as 34.28 kmph.
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The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.a)34.28 km/hb)35 km/hc)50 km/hd)12 km/hCorrect answer is option 'A'. Can you explain this answer?
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The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.a)34.28 km/hb)35 km/hc)50 km/hd)12 km/hCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.a)34.28 km/hb)35 km/hc)50 km/hd)12 km/hCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.a)34.28 km/hb)35 km/hc)50 km/hd)12 km/hCorrect answer is option 'A'. Can you explain this answer?.
The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.a)34.28 km/hb)35 km/hc)50 km/hd)12 km/hCorrect answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.a)34.28 km/hb)35 km/hc)50 km/hd)12 km/hCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The Sinhagad Express left Pune at noon sharp. Two hours later, the Deccan Queen started from Pune in the same direction. The Deccan Queen overtook the Sinhagad Express at 8 p.m. Find the average speed of the two trains over this journey if the sum of their average speeds is 70 km/h.a)34.28 km/hb)35 km/hc)50 km/hd)12 km/hCorrect answer is option 'A'. Can you explain this answer?.
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