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At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km?
Verified Answer
At what distance from Delhi will a train which leaves Delhi for Amrits...
A Train leaves for Amritsar at 2:45 pm and goes at the rate of 50 km/hr.
Another train leaves Amritsar for Delhi at 1:35 pm and goes at the rate of 60 km/hr.
The distance between Delhi and Amritsar is 510 km.
Let the two trains meet at a distance of X km from Delhi. Then, their meeting time.
2.45 pm + X/50 = 1.35 pm + (510 - X)/60
= 2.45 pm - 1.35 pm + X/50 + X/60 = 510/60
= 7/6 hrs + X [110/(50 x 60)] = 17/2
= 7/6 + 11/300X = 17/2
= 11/300X = 17/2 - 7/6
= X = 200 km
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At what distance from Delhi will a train which leaves Delhi for Amrits...
Problem: At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of 50 km an hour meet a train which leaves Amritsar for Delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km?
Solution:
To solve this problem, we need to use the concept of relative speed and time taken by the two trains to meet each other. Let's break down the problem into steps:
Step 1: Calculate the time taken by the two trains to meet each other.
- The train from Delhi to Amritsar leaves at 2:45 p.m. and the train from Amritsar to Delhi leaves at 1:35 p.m.
- The time difference between the two trains is 1 hour and 10 minutes or 70 minutes.
- Let's convert this time into hours by dividing it by 60. 70 ÷ 60 = 1.17 hours.
- Therefore, the two trains will meet each other after 1.17 hours.
Step 2: Calculate the relative speed of the two trains.
- The train from Delhi to Amritsar is going at a speed of 50 km/hour.
- The train from Amritsar to Delhi is going at a speed of 60 km/hour.
- The relative speed of the two trains is the sum of their speeds. Relative speed = 50 + 60 = 110 km/hour.
Step 3: Calculate the distance traveled by the train from Delhi to Amritsar.
- Let's assume that the two trains meet at a distance of x km from Delhi.
- The train from Delhi to Amritsar travels for 1.17 hours before meeting the other train.
- Therefore, the distance traveled by the train from Delhi to Amritsar is 50 × 1.17 = 58.5 km.
Step 4: Calculate the distance traveled by the train from Amritsar to Delhi.
- The total distance between the two towns is 510 km.
- Let's assume that the two trains meet at a distance of x km from Delhi. Therefore, the distance traveled by the train from Amritsar to Delhi is (510 - x) km.
- The train from Amritsar to Delhi travels for 1.17 hours before meeting the other train.
- Therefore, the distance traveled by the train from Amritsar to Delhi is 60 × 1.17 = 70.2 km.
Step 5: Equate the distances traveled by the two trains.
- The distance traveled by the train from Delhi to Amritsar is 58.5 km.
- The distance traveled by the train from Amritsar to Delhi is 70.2 km.
- Therefore, 58.5 + x = 510 - x - 70.2
- Solving for x, we get x = 190.65 km.
Therefore, the two trains will meet each other at a distance of 190.65 km from Delhi.
Answer: The two trains will meet each other at a distance of 190.65 km from Delhi.
Solution:
To solve this problem, we need to use the concept of relative speed and time taken by the two trains to meet each other. Let's break down the problem into steps:
Step 1: Calculate the time taken by the two trains to meet each other.
- The train from Delhi to Amritsar leaves at 2:45 p.m. and the train from Amritsar to Delhi leaves at 1:35 p.m.
- The time difference between the two trains is 1 hour and 10 minutes or 70 minutes.
- Let's convert this time into hours by dividing it by 60. 70 ÷ 60 = 1.17 hours.
- Therefore, the two trains will meet each other after 1.17 hours.
Step 2: Calculate the relative speed of the two trains.
- The train from Delhi to Amritsar is going at a speed of 50 km/hour.
- The train from Amritsar to Delhi is going at a speed of 60 km/hour.
- The relative speed of the two trains is the sum of their speeds. Relative speed = 50 + 60 = 110 km/hour.
Step 3: Calculate the distance traveled by the train from Delhi to Amritsar.
- Let's assume that the two trains meet at a distance of x km from Delhi.
- The train from Delhi to Amritsar travels for 1.17 hours before meeting the other train.
- Therefore, the distance traveled by the train from Delhi to Amritsar is 50 × 1.17 = 58.5 km.
Step 4: Calculate the distance traveled by the train from Amritsar to Delhi.
- The total distance between the two towns is 510 km.
- Let's assume that the two trains meet at a distance of x km from Delhi. Therefore, the distance traveled by the train from Amritsar to Delhi is (510 - x) km.
- The train from Amritsar to Delhi travels for 1.17 hours before meeting the other train.
- Therefore, the distance traveled by the train from Amritsar to Delhi is 60 × 1.17 = 70.2 km.
Step 5: Equate the distances traveled by the two trains.
- The distance traveled by the train from Delhi to Amritsar is 58.5 km.
- The distance traveled by the train from Amritsar to Delhi is 70.2 km.
- Therefore, 58.5 + x = 510 - x - 70.2
- Solving for x, we get x = 190.65 km.
Therefore, the two trains will meet each other at a distance of 190.65 km from Delhi.
Answer: The two trains will meet each other at a distance of 190.65 km from Delhi.
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At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km?
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At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km?.
At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km?.
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