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Two, trains, one from Mumbai to New Delhi and the other from New Delhi to Mumbai, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. What is the ratio of their speed?
- a)5:4
- b)4:3
- c)3:2
- d)2:1
Correct answer is option 'B'. Can you explain this answer?
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Two, trains, one from Mumbai to New Delhi and the other from New Delhi...
Given data:
Two trains start simultaneously, one from Mumbai to New Delhi and the other from New Delhi to Mumbai.
After they meet, the trains reach their destinations after 9 hours and 16 hours respectively.
To find: Ratio of their speed
Let's assume that the distance between Mumbai and New Delhi is 'd' km
Let's also assume that the speed of the train starting from Mumbai is 'x' km/hr and the speed of the train starting from New Delhi is 'y' km/hr.
Now, let's calculate the distance covered by each train before they meet.
Distance covered by the train starting from Mumbai = x * 9
Distance covered by the train starting from New Delhi = y * 16
Since both the trains meet at some point in between, the total distance covered by both the trains is equal to the distance between Mumbai and New Delhi, i.e., d km.
Therefore, x * 9 + y * 16 = d ----- (1)
Now, let's calculate the speed of each train using the formula Speed = Distance/Time
Speed of the train starting from Mumbai = d/9
Speed of the train starting from New Delhi = d/16
To find the ratio of their speeds, we can divide the two speeds:
Speed of the train starting from Mumbai/Speed of the train starting from New Delhi = (d/9)/(d/16)
= 16/9
Therefore, the ratio of their speeds is 16:9 or 4:3 (after simplifying).
Hence, the correct option is (b) 4:3.
Two trains start simultaneously, one from Mumbai to New Delhi and the other from New Delhi to Mumbai.
After they meet, the trains reach their destinations after 9 hours and 16 hours respectively.
To find: Ratio of their speed
Let's assume that the distance between Mumbai and New Delhi is 'd' km
Let's also assume that the speed of the train starting from Mumbai is 'x' km/hr and the speed of the train starting from New Delhi is 'y' km/hr.
Now, let's calculate the distance covered by each train before they meet.
Distance covered by the train starting from Mumbai = x * 9
Distance covered by the train starting from New Delhi = y * 16
Since both the trains meet at some point in between, the total distance covered by both the trains is equal to the distance between Mumbai and New Delhi, i.e., d km.
Therefore, x * 9 + y * 16 = d ----- (1)
Now, let's calculate the speed of each train using the formula Speed = Distance/Time
Speed of the train starting from Mumbai = d/9
Speed of the train starting from New Delhi = d/16
To find the ratio of their speeds, we can divide the two speeds:
Speed of the train starting from Mumbai/Speed of the train starting from New Delhi = (d/9)/(d/16)
= 16/9
Therefore, the ratio of their speeds is 16:9 or 4:3 (after simplifying).
Hence, the correct option is (b) 4:3.
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Community Answer
Two, trains, one from Mumbai to New Delhi and the other from New Delhi...
Standard Formula: If two objects A and B begin their journey at the same time from two points P and Q towards each other and after crossing each other they take a and b hours in reaching Q and P respectively, then
A's Speed Vb
B's Speed Va
By looking at the above problem, we can say that, a=9 hours, b=16 hours.
Therefore, Ratio of speeds of two trains = V16/V9 = 4/3 or 4:3
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Two, trains, one from Mumbai to New Delhi and the other from New Delhi to Mumbai, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. What is the ratio of their speed?a)5:4b)4:3c)3:2d)2:1Correct answer is option 'B'. Can you explain this answer?
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Two, trains, one from Mumbai to New Delhi and the other from New Delhi to Mumbai, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. What is the ratio of their speed?a)5:4b)4:3c)3:2d)2:1Correct answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two, trains, one from Mumbai to New Delhi and the other from New Delhi to Mumbai, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. What is the ratio of their speed?a)5:4b)4:3c)3:2d)2:1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two, trains, one from Mumbai to New Delhi and the other from New Delhi to Mumbai, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. What is the ratio of their speed?a)5:4b)4:3c)3:2d)2:1Correct answer is option 'B'. Can you explain this answer?.
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