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Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometer remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together. How much will Sathish pay for gas?

User Syren
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1 Answer

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Answer: $64.80

Step-by-step explanation:

  • 2100 km road trip
  • 2 friends + Sathish
  • 150 km after begins and 150 km before end
  • consume: 6L/100km
  • cost: $1.20/L

Friends + Sathish will ride together = 2100 - 150 - 150 =

2100 - 300 = 1800 km

6L/100km = xL/1800km

100x = 6.1800

100x = 10800

x = 108 L

$1.20/L = $y/108L

y = 108*1.20

y = $129.60

Value for 3 people = $129.60

each = 129.6/3 = $43.20

Sathish alone = 300 km

6L/100km = xL/300km

100x = 6.300

100x = 1800

x = 18 L

$1.20/L = $y/18L

y = 18*1.20

y = $21.60

Total for Sathish = $43.20 + $21.60 = $64.80

User SkidRunner
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