Q:

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?

Accepted Solution

A:
Answer: $64.80Step-by-step explanation: 2100 km road trip2 friends + Sathish150 km after begins and 150 km before endconsume: 6L/100kmcost: $1.20/LFriends + Sathish will ride together = 2100 - 150 - 150 = 2100 - 300 = 1800 km6L/100km = xL/1800km100x = 6.1800100x = 10800x = 108 L$1.20/L = $y/108Ly = 108*1.20y = $129.60Value for 3 people = $129.60each = 129.6/3 = $43.20Sathish alone = 300 km6L/100km = xL/300km100x = 6.300100x = 1800x = 18 L$1.20/L = $y/18Ly = 18*1.20y = $21.60Total for Sathish = $43.20 + $21.60 = $64.80