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Ravi stats for his school at 8:20 am on his bicycle .if he travels at a speed of 10km/h ,then he reaches school late by 8 minutes but on travelling at 16km/h he reaches school 10 minutes early . at what time does his school start ?
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Ravi stats for his school at 8:20 am on his bicycle .if he travels at ...
Given that Ravi starts for his school at 8.20 am.
Let the distance be x km. 
Let the time taken by Ravi to reach the school be y.
(1) Given that he travels at a speed of 10km/hr and reaches by 8 minutes late.
             x/10 = y + 8/60
             x/10 = y + 2/15     --- (1)
(2) Given that he travels at a speed of 16km/hr and reaches by 10 minutes early.
               x/16 = y - 10/60
               x/16 = y - 1/6.     ----- (2).
on solving (1) and (2), we get
     x/10 - x/16 = 2/15 + 1/6
     3x/80 = 9/30
     x = 9 * 80/3 * 30
        = 8 km.   ----- (3)
Substitute (3) in (2), we get
 8/16 = y - 1/6
 y - 1/6 = 8/16
 y - 1/6 = 1/2
 y = 1/6 + 1/2
    = 2/3 hours
    = 2/3 * 60
y = 40 minutes.
Ravi starts school at 8.20am + 40 minutes = 9.00AM.
His school starts at 9.00AM.

This question is part of UPSC exam. View all Class 8 courses
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Ravi stats for his school at 8:20 am on his bicycle .if he travels at ...
Ravi's Travel Statistics:
To solve this problem, we need to analyze Ravi's travel statistics when traveling to school at different speeds. Let's break it down step by step:

Given Information:
- Speed 1: 10 km/h (reaches school late by 8 minutes)
- Speed 2: 16 km/h (reaches school 10 minutes early)

Calculating Time Difference:
Let's calculate the time difference between Ravi's arrival time for both speeds:

- Speed 1:
- Time taken = Distance / Speed = x km / 10 km/h = x/10 hours
- Late by 8 minutes = 8/60 hours
- Total time taken = x/10 hours + 8/60 hours

- Speed 2:
- Time taken = Distance / Speed = x km / 16 km/h = x/16 hours
- Early by 10 minutes = -10/60 hours
- Total time taken = x/16 hours - 10/60 hours

Equating Time Differences:
Since the distance traveled is the same for both speeds, we can equate the time differences:

x/10 + 8/60 = x/16 - 10/60

Solving the Equation:
Let's solve the equation to find the value of x (distance):

Multiply the entire equation by 240 (LCD of 10 and 16) to eliminate the denominators:

24x + 32 = 15x - 40

Subtract 15x from both sides and add 40 to both sides:

24x - 15x = -40 - 32

9x = -72

Divide by 9:

x = -8

Interpreting the Result:
The negative value of x indicates that Ravi's school is located 8 km in the opposite direction of his travel. Therefore, the distance from Ravi's house to the school is 8 km.

Calculating School Start Time:
To calculate the school start time, we need to know the time Ravi started his journey. Let's assume he started at 8:20 am.

If he travels at a speed of 10 km/h, he reaches school late by 8 minutes, so the school start time would be 8:20 am + 8 minutes = 8:28 am.

If he travels at a speed of 16 km/h, he reaches school 10 minutes early, so the school start time would be 8:20 am - 10 minutes = 8:10 am.

Conclusion:
Based on the given information and calculations, Ravi's school starts at either 8:28 am (when traveling at 10 km/h) or 8:10 am (when traveling at 16 km/h).
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Ravi stats for his school at 8:20 am on his bicycle .if he travels at a speed of 10km/h ,then he reaches school late by 8 minutes but on travelling at 16km/h he reaches school 10 minutes early . at what time does his school start ?
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Ravi stats for his school at 8:20 am on his bicycle .if he travels at a speed of 10km/h ,then he reaches school late by 8 minutes but on travelling at 16km/h he reaches school 10 minutes early . at what time does his school start ? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Ravi stats for his school at 8:20 am on his bicycle .if he travels at a speed of 10km/h ,then he reaches school late by 8 minutes but on travelling at 16km/h he reaches school 10 minutes early . at what time does his school start ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ravi stats for his school at 8:20 am on his bicycle .if he travels at a speed of 10km/h ,then he reaches school late by 8 minutes but on travelling at 16km/h he reaches school 10 minutes early . at what time does his school start ?.
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