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A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.
- a)2:11
- b)3:11
- c)1:11
- d)4:11
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A journey of 800 km is done in a total of 10 hours, If 320 km is trave...
10 = 320/st + 480/sb and
8 = 240/st + 560/sb
st and sb are the speeds of train and bus respectively
8 = 240/st + 560/sb
st and sb are the speeds of train and bus respectively
Most Upvoted Answer
A journey of 800 km is done in a total of 10 hours, If 320 km is trave...
To solve this problem, let's assume the speed of the train as 'x' km/h and the speed of the bus as 'y' km/h.
1. Traveling 320 km by train:
- Let's assume the time taken to travel 320 km by train is 't' hours.
- So, the time taken to travel the remaining distance of (800 - 320) = 480 km by bus will be (10 - t) hours.
- We know that speed = distance/time. Therefore, the speed of the train is given by 320/t and the speed of the bus is given by 480/(10-t).
2. Traveling 240 km by train:
- Let's assume the time taken to travel 240 km by train is 't' hours.
- So, the time taken to travel the remaining distance of (800 - 240) = 560 km by bus will be (8 - t) hours.
- We know that speed = distance/time. Therefore, the speed of the train is given by 240/t and the speed of the bus is given by 560/(8-t).
Now, we can set up the following equations:
320/t = 240/t
Cross-multiplying, we get:
320t = 240t
80t = 0
t = 0
But this is not a valid solution as time cannot be zero. So, we need to consider another equation.
320/t = 480/(10-t)
Cross-multiplying, we get:
320(10-t) = 480t
3200 - 320t = 480t
800t = 3200
t = 4
Similarly, for the other equation:
240/t = 560/(8-t)
Cross-multiplying, we get:
240(8-t) = 560t
1920 - 240t = 560t
800t = 1920
t = 2.4
Therefore, the ratio of the speed of the train to the bus is given by:
320/4 : 480/(10-4)
= 80 : 80
= 1 : 1
Hence, the correct answer is option 'C' - 1:11.
1. Traveling 320 km by train:
- Let's assume the time taken to travel 320 km by train is 't' hours.
- So, the time taken to travel the remaining distance of (800 - 320) = 480 km by bus will be (10 - t) hours.
- We know that speed = distance/time. Therefore, the speed of the train is given by 320/t and the speed of the bus is given by 480/(10-t).
2. Traveling 240 km by train:
- Let's assume the time taken to travel 240 km by train is 't' hours.
- So, the time taken to travel the remaining distance of (800 - 240) = 560 km by bus will be (8 - t) hours.
- We know that speed = distance/time. Therefore, the speed of the train is given by 240/t and the speed of the bus is given by 560/(8-t).
Now, we can set up the following equations:
320/t = 240/t
Cross-multiplying, we get:
320t = 240t
80t = 0
t = 0
But this is not a valid solution as time cannot be zero. So, we need to consider another equation.
320/t = 480/(10-t)
Cross-multiplying, we get:
320(10-t) = 480t
3200 - 320t = 480t
800t = 3200
t = 4
Similarly, for the other equation:
240/t = 560/(8-t)
Cross-multiplying, we get:
240(8-t) = 560t
1920 - 240t = 560t
800t = 1920
t = 2.4
Therefore, the ratio of the speed of the train to the bus is given by:
320/4 : 480/(10-4)
= 80 : 80
= 1 : 1
Hence, the correct answer is option 'C' - 1:11.
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Community Answer
A journey of 800 km is done in a total of 10 hours, If 320 km is trave...
10 = 320/st + 480/sb and
8 = 240/st + 560/sb
st and sb are the speeds of train and bus respectively
8 = 240/st + 560/sb
st and sb are the speeds of train and bus respectively
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A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.a)2:11b)3:11c)1:11d)4:11e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.a)2:11b)3:11c)1:11d)4:11e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.a)2:11b)3:11c)1:11d)4:11e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.a)2:11b)3:11c)1:11d)4:11e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.a)2:11b)3:11c)1:11d)4:11e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.a)2:11b)3:11c)1:11d)4:11e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A journey of 800 km is done in a total of 10 hours, If 320 km is travel by train and remaining by bus. The same journey is done in 8 hours if 240 km is travel by train and remaining is done by bus. Find the ratio of the speed of train to bus.a)2:11b)3:11c)1:11d)4:11e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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