city bus runs two bus from a to b each making 5 round trips in a day. there are no stops between. these buses ply back and forth on same route at diff. but uniform speed. each bus start at 7 am from respective terminus. they meet for the first time at 7 km from a. their next meeting is at distance of 4 km from b,while travelling in opposite direction.assuming that time by buses at terminus is negligebly small, and cost of running a bus is 20 per km.
find daily cost of buses?

• let total distance traelled by both bus is xkm.
  so in 1st meet A travels 7km and B (x-7)km.
  
  similarly in 2nd meet A travels (x+7)km and B travels (2x-4)km
  Equating them A/B
  7/(x-7)=(x+4)/(2x-4)
  x=17km for 5 round trip 17*10=170km
  cost of travelling per bus=170*20=3400rps
• 10 years agoHelpfull: Yes(27) No(8)
• Let the distance between A and B be x. Let the speeds of the buses starting at A and B be by a and b respectively.
  First meeting is at 7 km from A:
  By that time first bus travels 7 Km and second one travels x-7 Km. As they have travelled for the same time,
  7/a = (x-7)/b ---(1)
  Second meeting is at 4 km from B:
  By that time first bus travels x+4 Km and second one travels x+(x-4) = 2x-4 Km. As they have travelled for the same time,
  (x+4)/a = (2x-4)/b ---(2)
  (1)/(2) gives,
  7/(x+4) = (x-7)/(2x-4) => x2-17x = 0 => x =17
  => one round trip is equal to 2*17 = 34 Km
  “Each bus makes 5 round trips in a day” => Each bus makes 5*34 Km per day
  => Total distance travelled by the two buses in a day = 2*5*34 Km
  “the cost of running the bus is Rs 20 per Km”
  => Total cost = 2*5*34*20 = Rs 6800
• 8 years agoHelpfull: Yes(9) No(1)
• wjat is x+4?
• 10 years agoHelpfull: Yes(2) No(1)
• A-= Rs 2000
  B= Rs 2000
• 7 years agoHelpfull: Yes(0) No(0)
• Let the distance between A and B be x. Let the speeds of the buses starting at A and B be by a and b respectively.
  First meeting is at 7 km from A:
  By that time first bus travels 7 Km and second one travels x-7 Km. As they have travelled for the same time,
  7/a = (x-7)/b ---(1)
  Second meeting is at 4 km from B:
  By that time first bus travels x+4 Km and second one travels x+(x-4) = 2x-4 Km. As they have travelled for the same time,
  (x+4)/a = (2x-4)/b ---(2)
  (1)/(2) gives,
  7/(x+4) = (x-7)/(2x-4) => x2-17x = 0 => x =17
  => one round trip is equal to 2*17 = 34 Km
  “Each bus makes 5 round trips in a day” => Each bus makes 5*34 Km per day
  => Total distance travelled by the two buses in a day = 2*5*34 Km
  “the cost of running the bus is Rs 20 per Km”
  => Total cost = 2*5*34*20 = Rs 6800
• 7 years agoHelpfull: Yes(0) No(1)