Q. The boy goes to school reaches railway station at his 1/3 of his journey& mill at 1/4 of his journey the time taken him to walk between railway station & mill is 5 mins. Also he reaches railway station at 7.35amwhen he started from house& when he reaches school?

• The total time taken to cover distance between railway station and mill is 5 min. the distance between the 2 is
  
  1/3 - 1/4 =1/12.
  so 1/12 / 5 is the speed at which the boy is walking.
  
  To cover 1/3 of distance the boy will take 20 min. as he reaches railway station at 7:35 am .....
  
  he starts at 7:15 am.Ans : 7:15am
  reached the school by 7:35+40 i.e. 8:15 am.
• 11 years agoHelpfull: Yes(22) No(2)
• 7.15,8.25
  
• 11 years agoHelpfull: Yes(1) No(6)
• 7.15 and 8.15
• 11 years agoHelpfull: Yes(0) No(0)
• ans should be 7:15am + 40 min =7:55am he reaches to the school
• 9 years agoHelpfull: Yes(0) No(3)
• Given Information:
  The boy reaches the railway station at 1/3 of his journey.
  The boy reaches the mill at 1/4 of his journey.
  The time taken to walk from the railway station to the mill is 5 minutes.
  The boy reaches the railway station at 7:35 AM.
  We are to find out when he reaches school.
  Understanding the Journey:
  Let the total journey distance from his house to school be
  𝐷
  D. The boy reaches the railway station at 1/3 of the total journey, so the distance from his house to the railway station is
  𝐷
  3
  3
  D
  ​
  .
  
  The boy reaches the mill at 1/4 of his journey, so the distance from his house to the mill is
  𝐷
  4
  4
  D
  ​
  .
  
  Step 1: Time taken between the railway station and the mill
  We know that the time taken to walk between the railway station and the mill is 5 minutes. The distance between the railway station and the mill is:
  
  𝐷
  3
  −
  𝐷
  4
  =
  4
  𝐷
  12
  −
  3
  𝐷
  12
  =
  𝐷
  12
  3
  D
  ​
  −
  4
  D
  ​
  =
  12
  4D
  ​
  −
  12
  3D
  ​
  =
  12
  D
  ​
  
  So, the distance between the railway station and the mill is
  𝐷
  12
  12
  D
  ​
  , and the time taken to walk this distance is 5 minutes.
  
  Step 2: Walking speed of the boy
  We can now calculate the boy's walking speed. Since the distance between the railway station and the mill is
  𝐷
  12
  12
  D
  ​
  , and the time taken to walk this distance is 5 minutes, the speed of the boy can be given as:
  
  Speed
  =
  Distance
  Time
  =
  𝐷
  12
  5
  =
  𝐷
  60
  Speed=
  Time
  Distance
  ​
  =
  5
  12
  D
  ​
  
  ​
  =
  60
  D
  ​
  
  So, the boy's walking speed is
  𝐷
  60
  60
  D
  ​
  per minute.
  
  Step 3: Time taken to reach school
  Now we know the boy’s walking speed, and we can calculate the total time taken by the boy to walk the entire distance from his house to school.
  
  Since the total distance from the house to the school is
  𝐷
  D and the boy walks at a speed of
  𝐷
  60
  60
  D
  ​
  , the total time
  𝑇
  T taken to reach school is:
  
  𝑇
  =
  𝐷
  Speed
  =
  𝐷
  𝐷
  60
  =
  60
   minutes
  T=
  Speed
  D
  ​
  =
  60
  D
  ​
  
  D
  ​
  =60 minutes
  So, the total time taken by the boy to reach school from his house is 60 minutes.
  
  Step 4: Time of arrival at school
  We are told that the boy reaches the railway station at 7:35 AM, and since it takes him 60 minutes to reach school, he will reach school at:
  
  7
  :
  35
   
  AM
  +
  60
   
  minutes
  =
  8
  :
  35
   
  AM
  7:35AM+60minutes=8:35AM
  Final Answer:
  The boy will reach the school at 8:35 AM.
• 16 Days agoHelpfull: Yes(0) No(0)