Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometers remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20, 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?
Answers
1 dollar=160.75 so 6×160=960 litre and sathish pay for gas 960÷100×2100= 20,160
Answer:
$64.80
Step-by-step explanation:
Step 1:
Sathish pays for all of the gas when he is alone in the car, and he pays for 1/3 of the gas when his friends are with him.
Step 2:
Sathish travels 300 km alone. The car consumes 6 litres of gas for every 100 kilometres.
300(km) x 6L/100(km) = 18L
Sathish uses 18L of gas when he is alone.
Gas costs $1.20 per litre.
18(L) x $1.20(/L) = $21.60
Sathish pays $21.60 for gas when he is alone in the car.
Step 3:
There are three people in the car for 1800km because 2100 - 2 x 150 = 1800.
1800(km) x 6L/100(km) = 108L
Sathish uses 108L of gas when his friends are in the car.
108(L) x $1.20(/L) = $129.60
Sathish and his two friends split the cost of $129.60 worth of gas equally.
129.60 x 1/3 = 43.20
Sathish pays $43.20 for gas when his friends are in the car.
Step 4:
21.60 + 43.20 = 64.80
Step 5:
Sathish will pay a total of $64.80 for gas.