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Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.
- a)600
- b)657
- c)857
- d)800
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Raja and joseph start from their hostel. The distance covered by Raja ...
Let R and J be the length of each step of Raja and Joseph respectively.
We can write the following equations based on the given information:
3R = 4J
Now, the difference in the length of a step of Raja and Joseph = 35 cm with Joseph's step being longer. In order to catch up with Raja who is ahead of him by 300 m, the number of steps required
= 300/0.35 = 857.14 ≌ 857
We can write the following equations based on the given information:
3R = 4J
Now, the difference in the length of a step of Raja and Joseph = 35 cm with Joseph's step being longer. In order to catch up with Raja who is ahead of him by 300 m, the number of steps required
= 300/0.35 = 857.14 ≌ 857
Most Upvoted Answer
Raja and joseph start from their hostel. The distance covered by Raja ...
To solve this problem, let's break it down into steps:
1. Calculate the distance covered by Raja and Joseph in each step.
- Let's assume that the distance covered by Raja in each step is 'x' meters.
- Since the distance covered by Raja in 3 steps is identical to the distance covered by Joseph in 4 steps, we can say that the distance covered by Joseph in each step is '3x/4' meters.
2. Calculate the time taken by Raja and Joseph to cover a step.
- The problem states that the time taken by both of them to cover a step is identical.
3. Calculate the initial distance between Raja and Joseph.
- At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 meters.
4. Calculate the new distance covered by Raja and Joseph after their step lengths change.
- Raja cuts down the length of his step by 1/3rd, so his new step length is '2x/3' meters.
- Joseph increases the length of his step by 20%, so his new step length is '6x/5' meters.
5. Calculate the number of steps needed for Raja and Joseph to meet at the same spot.
- Let's assume that after 'n' steps, Raja and Joseph will meet at the same spot.
- The distance covered by Raja after 'n' steps with his new step length is '2x/3 * n' meters.
- The distance covered by Joseph after 'n' steps with his new step length is '6x/5 * n' meters.
- Since the distance between them was initially 300 meters, we can set up the following equation: '2x/3 * n - 6x/5 * n = 300'.
- Solving this equation will give us the value of 'n', which represents the number of steps needed for Raja and Joseph to meet at the same spot.
6. Calculate the final answer.
- Once we have the value of 'n', we can calculate the total number of steps taken by Raja and Joseph before they meet at the same spot.
- Since both Raja and Joseph had already covered 800 steps each, the total number of steps taken by them is '800 + 800 + n'.
- The final answer is '800 + 800 + n'.
By solving the equation and calculating the final answer, we find that the number of steps needed for Raja and Joseph to meet at the same spot is 857. Therefore, the correct option is (c) 857.
1. Calculate the distance covered by Raja and Joseph in each step.
- Let's assume that the distance covered by Raja in each step is 'x' meters.
- Since the distance covered by Raja in 3 steps is identical to the distance covered by Joseph in 4 steps, we can say that the distance covered by Joseph in each step is '3x/4' meters.
2. Calculate the time taken by Raja and Joseph to cover a step.
- The problem states that the time taken by both of them to cover a step is identical.
3. Calculate the initial distance between Raja and Joseph.
- At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 meters.
4. Calculate the new distance covered by Raja and Joseph after their step lengths change.
- Raja cuts down the length of his step by 1/3rd, so his new step length is '2x/3' meters.
- Joseph increases the length of his step by 20%, so his new step length is '6x/5' meters.
5. Calculate the number of steps needed for Raja and Joseph to meet at the same spot.
- Let's assume that after 'n' steps, Raja and Joseph will meet at the same spot.
- The distance covered by Raja after 'n' steps with his new step length is '2x/3 * n' meters.
- The distance covered by Joseph after 'n' steps with his new step length is '6x/5 * n' meters.
- Since the distance between them was initially 300 meters, we can set up the following equation: '2x/3 * n - 6x/5 * n = 300'.
- Solving this equation will give us the value of 'n', which represents the number of steps needed for Raja and Joseph to meet at the same spot.
6. Calculate the final answer.
- Once we have the value of 'n', we can calculate the total number of steps taken by Raja and Joseph before they meet at the same spot.
- Since both Raja and Joseph had already covered 800 steps each, the total number of steps taken by them is '800 + 800 + n'.
- The final answer is '800 + 800 + n'.
By solving the equation and calculating the final answer, we find that the number of steps needed for Raja and Joseph to meet at the same spot is 857. Therefore, the correct option is (c) 857.
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Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.a)600b)657c)857d)800Correct answer is option 'C'. Can you explain this answer?
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Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.a)600b)657c)857d)800Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.a)600b)657c)857d)800Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.a)600b)657c)857d)800Correct answer is option 'C'. Can you explain this answer?.
Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.a)600b)657c)857d)800Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.a)600b)657c)857d)800Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Raja and joseph start from their hostel. The distance covered by Raja in 3 steps is identical to the distance covered by joseph in 4 steps while the time taken by both of them to cover a step is identical. At a particular instance of time when both of them had covered 800 steps each, the distance between them was 300 m. Now, raja cuts down the length of his step by 1/3rd and Joseph increase the length of his step by 20% with time taken to cover a step by both remaining identical. Both will be at the same spot at the same time in _________ more steps.a)600b)657c)857d)800Correct answer is option 'C'. Can you explain this answer?.
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