An employee may claim Rs. 7.00 for each km when he travels by taxi and Rs. 6.00 for each km if he drives his own car. If in one week he claimed Rs. 595 for traveling km. How many kms did he travel by taxi?

• Many solutions are possible. There must be some other condition also.
• 11 years agoHelpfull: Yes(18) No(7)
• let distance moved by taxi in a day = x kms
  by own car in a day = y kms
  so (7x+6y)*7=595 rs
  or 7x+ 6y = 85
  or 7x= 85 - 6y
  first value of y which makes the expression divisible by 7 is 6 i.e
  7x = 85 - 36 = 49
  so x= 7 y = 6 so distance by taxi in a week = 7y or 42 kms .
• 11 years agoHelpfull: Yes(15) No(53)
• 25 kms by taxi .. Rs 175
  70 kms by own car .. Rs 420
• 11 years agoHelpfull: Yes(11) No(19)
• any explain clearly??
• 11 years agoHelpfull: Yes(5) No(4)
• there will be 15 solution to this problem. (if only integer value are considered)
  
  the eqn is
  7x + 6y =595
  hence x can have max value as 85 (595/7)
  and y can have max value as 99 (595/6)
  
  x=85-(6y/7)
  now we will put all value of y from 0 to 99 which are divisible by 7
  if y=0 then x=85
  y=7 then x=79
  y=14 then x=73
  y=21 then x=67
  y=28 then x=61
  y=35 then x=55
  y=42 then x=49
  y=49 then x=43
  ........
  
  .........
  y=98 then x=1
  
  
  but if decimal values were taken ther are infinite solution are there for this problem.
• 10 years agoHelpfull: Yes(4) No(3)
• the answer is very simple
  given,
  rate of travel by taxi= Rs 7
  rate of travel by car =Rs 6
  let
  x=distance travel by taxi
  y=distance travel by car
  so 7*x + 6*y= 565
  x=(595-6y)/7
  x=85-(6y/7)
  since distance travelled is a whole no. therefore in order to get x and y as a whole no the only solution is
  x=79km and y=7km
  also, (79*7)+(7*6)=595
  
• 10 years agoHelpfull: Yes(3) No(0)
• for 1 km he claims Rs.7 when he travels by a taxi
  then for 85 km he claims Rs.595 (85*7=595).
  so the answer is 85 km.
• 10 years agoHelpfull: Yes(3) No(3)
• by taxi per kilometer is RS.7.00
  total claimed is RS.595
  total kms travelled=595/7=85kms
  
• 10 years agoHelpfull: Yes(1) No(1)
• Trail and error!
  
• 10 years agoHelpfull: Yes(1) No(2)
• the exact ans is 55.. so kindly try to solve it out
• 9 years agoHelpfull: Yes(1) No(0)
• ans is 55
  
• 8 years agoHelpfull: Yes(1) No(0)
• plz provide sufficient info
• 11 years agoHelpfull: Yes(0) No(2)
• claim by taxi per km=7.00
  total money claimed by taxi for week =595
  km by taxi = 595/7=87km
• 10 years agoHelpfull: Yes(0) No(6)
• 7 KM
  7X+6Y=85
  CHECK FOR X AND Y
  
  
• 10 years agoHelpfull: Yes(0) No(0)
• data insufficient
• 10 years agoHelpfull: Yes(0) No(1)
• 595/7=85
  therefore 85kms
  
• 10 years agoHelpfull: Yes(0) No(0)
• He may take taxi or car So to achieve greater claim he go only for taxi
  he never choose go by car
  so
  he can travel 595/7=85 kms by taxi
• 10 years agoHelpfull: Yes(0) No(0)
• 85
  for each km rs:7.00 is added so, to claim rs:595 he has to travel 85 km by taxi
• 10 years agoHelpfull: Yes(0) No(0)
• ans: 274
  Taxi : car
  7 : 6
  so total 7+6=13;
  taxi: 7/13*595=320
  car: 6/13*595=274
• 10 years agoHelpfull: Yes(0) No(2)
• Answer is 42 .
  by Dividing 595 by (7+6 =13), we get 595/13 = 45 + 10/13 .
  it means that by travelling 45 kms each by taxi and his own car , he claimed Rs 585. then he travelled 1 km more by taxi. now he has to claim 3 rs more .
  so he had claimed 3 km by taxi instead of his own car .
  hence kms travelled by car = 45- 3 = 42.
• 9 years agoHelpfull: Yes(0) No(0)
• 85
  595/7=85
• 8 years agoHelpfull: Yes(0) No(0)
• 85 km all by taxi; there can be many more solutions
• 8 years agoHelpfull: Yes(0) No(0)
• one km rs.7.00 and actual Rs. is . 6
  mean 7-6
  = 1.km . travel charge is 1 Rs.
  and he traveling Rs. 595
  =km. 595*1
  = km.595km
• 8 years agoHelpfull: Yes(0) No(0)
• 1km, 7taxi+6car=595.
  taxi+6(taxi+car)=99*6+1
• 7 years agoHelpfull: Yes(0) No(0)
• Let x and y be the respective km's travelled by man via taxi and by his own car.
  A.T.Q
  7x+6y=595
  So when x=55 y=35
  7(55)+6(35)=595
  So,ans is 55 km's
• 7 years agoHelpfull: Yes(0) No(0)
• for 1 km he claims Rs.7 when he travels by a taxi
  then for 85 km he claims Rs.595 (85*7=595).
  so the answer is 85 km.
• 7 years agoHelpfull: Yes(0) No(0)
• The solution will be 85,
  because 7 Rs/ km
  and He claimed 595,
  so, 595/7=85
• 7 years agoHelpfull: Yes(0) No(0)
• total claimed = 595.
  let he traveled x kms by taxi and y km by car.
  7x + 6y = 595 where x and y are integers.
  so onle possible values of x and y are x = 85 and y = 0.
• 5 years agoHelpfull: Yes(0) No(0)