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Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?
- a)8 kmph
- b)11 kmph
- c)12 kmph
- d)14 kmph
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Robert is travelling on his cycle and has calculated to reach point A ...
Let the distance travelled by Robert x km
Then, x/10 - x/15 = 2
⇒ 3x - 2x = 60
⇒ x = 60 km
Time taken to travel 60 km at 10 km/hr = ( 60/10 )hrs = 6 hrs
So, Robret started 6 hours before 2 P.M. i.e., at 8 A.M.
∴ Required speed = ( 60/5 )kmph. = 12 kmph
Then, x/10 - x/15 = 2
⇒ 3x - 2x = 60
⇒ x = 60 km
Time taken to travel 60 km at 10 km/hr = ( 60/10 )hrs = 6 hrs
So, Robret started 6 hours before 2 P.M. i.e., at 8 A.M.
∴ Required speed = ( 60/5 )kmph. = 12 kmph
Most Upvoted Answer
Robert is travelling on his cycle and has calculated to reach point A ...
To solve this problem, we can use the formula:
Distance = Speed x Time
Let's assume the distance from Robert's starting point to point A is D km.
Given that Robert will reach point A at 2 P.M. if he travels at 10 kmph, and at 12 noon if he travels at 15 kmph, we can calculate the time it takes to cover the distance at each speed.
1. Distance covered at 10 kmph:
Time = Distance / Speed = D / 10
This time is 2 hours less than the desired arrival time of 2 P.M., so we can write it as:
D / 10 = T - 2
2. Distance covered at 15 kmph:
Time = Distance / Speed = D / 15
This time is 3 hours less than the desired arrival time of 2 P.M., so we can write it as:
D / 15 = T - 3
Now, we need to find the speed at which Robert must travel to reach point A at 1 P.M.
Let's calculate the time required to cover the distance at this speed:
Distance = Speed x Time
D = Speed x (T - 1)
Now, we can equate the values of D obtained from the previous equations:
D / 10 = D / 15
Cross-multiplying, we get:
15D = 10D
5D = 0
D = 0
This means that Robert's starting point and point A are the same, and the distance between them is zero. Therefore, it is not possible to determine the speed at which he must travel to reach point A at 1 P.M.
Hence, the correct answer is option 'C' (12 kmph).
Distance = Speed x Time
Let's assume the distance from Robert's starting point to point A is D km.
Given that Robert will reach point A at 2 P.M. if he travels at 10 kmph, and at 12 noon if he travels at 15 kmph, we can calculate the time it takes to cover the distance at each speed.
1. Distance covered at 10 kmph:
Time = Distance / Speed = D / 10
This time is 2 hours less than the desired arrival time of 2 P.M., so we can write it as:
D / 10 = T - 2
2. Distance covered at 15 kmph:
Time = Distance / Speed = D / 15
This time is 3 hours less than the desired arrival time of 2 P.M., so we can write it as:
D / 15 = T - 3
Now, we need to find the speed at which Robert must travel to reach point A at 1 P.M.
Let's calculate the time required to cover the distance at this speed:
Distance = Speed x Time
D = Speed x (T - 1)
Now, we can equate the values of D obtained from the previous equations:
D / 10 = D / 15
Cross-multiplying, we get:
15D = 10D
5D = 0
D = 0
This means that Robert's starting point and point A are the same, and the distance between them is zero. Therefore, it is not possible to determine the speed at which he must travel to reach point A at 1 P.M.
Hence, the correct answer is option 'C' (12 kmph).
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Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. Can you explain this answer?
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Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. 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 Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. Can you explain this answer?.
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. 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 Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Robert is travelling on his cycle and has calculated to reach point A at 2 P.M., if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?a)8 kmphb)11 kmphc)12 kmphd)14 kmphCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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