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A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk?
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A school bus pick student A at 9:0am and drop him to school . One day ...
Problem Statement
A school bus pick student A at 9:0am and drop him to school. One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way. Assume speed of bus and student are constant. Find the time he walk? Explain in details.
Solution
Let's assume that the distance between the starting point of the student and the school is 'd'. The bus covers this distance in time 't'.
Step 1: Finding the Time Taken by the Bus
Let's assume that the speed of the bus is 'v' and it takes 't' time to cover the distance 'd'. Therefore,
t = d/v
Step 2: Finding the Distance Walked by the Student
As per the problem statement, the student caught the bus somewhere in mid way. Let's assume that the distance covered by the bus before the student caught it is 'x'. Therefore, the distance remaining for the student to cover is 'd-x'.
Step 3: Finding the Time Taken by the Student
Let's assume that the speed of the student is 's'.
As per the problem statement, the student reached the school 10 minutes early. Therefore, the time taken by the student to cover the remaining distance is:
t - 10 minutes = (d-x)/s
Step 4: Finding the Distance Covered by the Student
The student started walking at 8:30 am and reached the school 10 minutes early. Therefore, the time taken by the student to cover the distance 'd' is:
t + 20 minutes = (d-x)/s + d/v
Step 5: Simplifying the Equation
Equating the above two equations, we get:
t + 20 minutes = (d-x)/s + d/v
Substituting the value of 't' from Step 1, we get:
d/v + 20 minutes = (d-x)/s + d/v
On simplification, we get:
x = 1/6 * v * (t + 20)
Step 6: Finding the Time Taken by the Student
Substituting the value of 'x' from Step 2 in the equation of time taken by the student from Step 3, we get:
t - 10 minutes = (d - 1/6 * v * (t + 20))/s
On simplification, we get:
t = 3/4 * d/v + 15 minutes
Step 7: Finding the Distance Walked by the Student
Substituting the value of 't' from Step 6 in the equation of distance covered by the student from Step 4, we get:
d/2 = (d -
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A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk?
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A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk?.
A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A school bus pick student A at 9:0am and drop him to school . One day student start walking toward school at 8:30 am and reach the school 10 minutes early by catching bus somewhere in mid way . Assume speed of bus and student are constant. Find the time he walk?.
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