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Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?
- a)100
- b)180
- c)116
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Trains, A and B are travelling on the same route heading towards the s...
Let the speed of train A = x
and the speed of train B = y
⇒ Relative speed (same direction) = (x + y) kmph
and relative speed (opp. direction) = (x - y) kmph
⇒ 1(x - y) = 220] x 11
11(x + y) = 220
⇒ 11x - 11y = 2420 .....(1)
11x + 11y = 220 .....(2)
Solving equation (1) and (2) we get
22x = 2640
⇒ x = 120 kmph
⇒ y = 220 - 120 = 100 kmph
and the speed of train B = y
⇒ Relative speed (same direction) = (x + y) kmph
and relative speed (opp. direction) = (x - y) kmph
⇒ 1(x - y) = 220] x 11
11(x + y) = 220
⇒ 11x - 11y = 2420 .....(1)
11x + 11y = 220 .....(2)
Solving equation (1) and (2) we get
22x = 2640
⇒ x = 120 kmph
⇒ y = 220 - 120 = 100 kmph
Most Upvoted Answer
Trains, A and B are travelling on the same route heading towards the s...
Given information:
- Train B has covered 220 km before Train A started.
- The two trains meet each other 11 hours after the start of Train A.
- If the trains were travelling towards each other from a distance of 220 km, they would have met after one hour.
To find: The speed of Train B in km/hr.
Let's assume the speed of Train A and Train B as x and y km/hr respectively.
Calculations:
- When the two trains meet, the total distance covered by both trains is the same.
- Distance covered by Train B = 220 km (given)
- Distance covered by Train A = x * 11 (as Train A started 11 hours after Train B and they met after 11 hours)
- Total distance = Distance covered by Train A + Distance covered by Train B = 220 + 11x km
- Time taken by Train B to cover 220 km = 220/y hours
- When the trains travel towards each other, their relative speed = x + y km/hr
- They cover a distance of 220 km in 1 hour, so 220 = (x + y) * 1
Now, using the formula: Distance = Speed * Time
- Distance covered by Train A = x * 11 km
- Distance covered by Train B = y * (11 - 220/y) km (as Train B started earlier and covered 220 km before Train A started)
- Equating both distances:
x * 11 = y * (11 - 220/y)
x * 11 = 11y - 220
x = (11y - 220)/11 = y - 20
Substituting x in the total distance equation:
220 + 11x = 220 + 11(y - 20) = 11y - 100 km
Now, equating total distance with speed and time:
11y - 100 = (x + y) * 11
11y - 100 = (y + y - 20) * 11
11y - 100 = 22y - 220
11y = 120
y = 120/11 km/hr ≈ 10.91 km/hr
Therefore, the speed of Train B is 10.91 * 60 = 654.55 km/hr ≈ 100 km/hr (approx.)
- Train B has covered 220 km before Train A started.
- The two trains meet each other 11 hours after the start of Train A.
- If the trains were travelling towards each other from a distance of 220 km, they would have met after one hour.
To find: The speed of Train B in km/hr.
Let's assume the speed of Train A and Train B as x and y km/hr respectively.
Calculations:
- When the two trains meet, the total distance covered by both trains is the same.
- Distance covered by Train B = 220 km (given)
- Distance covered by Train A = x * 11 (as Train A started 11 hours after Train B and they met after 11 hours)
- Total distance = Distance covered by Train A + Distance covered by Train B = 220 + 11x km
- Time taken by Train B to cover 220 km = 220/y hours
- When the trains travel towards each other, their relative speed = x + y km/hr
- They cover a distance of 220 km in 1 hour, so 220 = (x + y) * 1
Now, using the formula: Distance = Speed * Time
- Distance covered by Train A = x * 11 km
- Distance covered by Train B = y * (11 - 220/y) km (as Train B started earlier and covered 220 km before Train A started)
- Equating both distances:
x * 11 = y * (11 - 220/y)
x * 11 = 11y - 220
x = (11y - 220)/11 = y - 20
Substituting x in the total distance equation:
220 + 11x = 220 + 11(y - 20) = 11y - 100 km
Now, equating total distance with speed and time:
11y - 100 = (x + y) * 11
11y - 100 = (y + y - 20) * 11
11y - 100 = 22y - 220
11y = 120
y = 120/11 km/hr ≈ 10.91 km/hr
Therefore, the speed of Train B is 10.91 * 60 = 654.55 km/hr ≈ 100 km/hr (approx.)
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Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice Trains, A and B are travelling on the same route heading towards the same destination. Train B has already covered a distance of 220 km before train A started. The two trains meet each other 11 hours after the start of train A. Had the trains been travelling towards each other (from a distance of 220 km), they would have met after one hour. What is the speed of train B in km/hr?a)100b)180c)116d)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Railways tests.
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