Shanti's school normally FINISHES AT 4 PM. her mom drives from home to pick her up, reaching the school exactly at 4 pm. one day, a half holiday is announced and the School finishes for the day at 1 pm. Rather than sitting and Waiting , Shanti decides to start walking towards home. Her mother meets her along the way and as a result they reach home an hour earlier than normal. what is the ratio of the Shanti's walking speed to her mother's driving Speed?

• together they save 1hr, i.e, in a one way trip, they would save half Hour each.
  therefore, instead of meeting Shanti at 4pm in the school, her mother meets her at 3.30pm(half an hour earlier, to & fro will save 1 hour)
  Therefore from the meeting point, to reach the school, the car would take .5 hrs
  However, Shanti took 2.5 hrs(3.30-1) to reach the meeting point
  
  Therefore, .5 Times Mom's speed = 2.5 Times Shanti's speed----->(distance=time x speed, since distance is same, equating the product of time and speed for both the cases)
  therefore, ratio of the speeds is 1:5
• 8 years agoHelpfull: Yes(27) No(22)
• Consider this way....
  
  Shanti walked and as a result she saved the total driving hours= 1
  Which means her mom saves half an hour each going up and down since Santi met her on the way.
  That means both met at 3.30 pm. So Shanti walked what the distance in 2.5 hrs (from 1 pm to 3.30 pm) what her mom would have driven for half an hour.
  
  So the ratio of their speeds are 0.5: 2.5 i.e. 1:5.
  
  The clue lies in considering the to and fro distance.
  Hope it is clear now.
  :)
• 7 years agoHelpfull: Yes(21) No(2)
• this is really old question!
  
• 7 years agoHelpfull: Yes(3) No(7)
• how did u know mom met her daughter at 3.30 P.m.
• 5 years agoHelpfull: Yes(3) No(0)
• They both saved 1 hour... That is... 0.5 hr each. Mother is meeting Shanti at 3.30 pm that clearly tell us that from 1pm to 3.30 pm, shanti was walking. Thus, in same time.. Mother covered 0.5 hr and Shanti covered 2.5hr to meet each other. Speed is inversely proportional so 5:1is correct ratio.
• 5 years agoHelpfull: Yes(1) No(3)
• cloud is rain
• 7 years agoHelpfull: Yes(0) No(11)
• can anyone explain the solution to this question?? i could not able to understand
• 6 years agoHelpfull: Yes(0) No(2)