There are 8 people who are going on a trip.
The car starts from point A where 4 people get on. The car then drives to point B where 3 people get on and continues to point C where the last passanger gets on. Now the car drives to the final destination, to point D where everyone gets off.
The trip costs 150€ alltogether, how much should each passanger pay so it would be equal (the passangers who started from point A should pay the most and the passanger who got on at point C should pay the least).
The whole trip is 133km long.
The distance between point A and point B is 60km.
The distance between point B and point C is 32km.
The distance between point C and point D is 41km.
How should this be solved?
Details:
Answers (1)
Obviously each passenger is going to pay a charge per kilometer times kilometer travelled. We, therefore, have to firstly calculate the sum of kilometers travelled by all the passengers:
4 * 133 + 3 * 73 + 1 * 41 = 792km
The trip costs 150€ altogether. So, the charge per kilometer will be
150€ / 792km = 0.1894€/km
Passengers, who travelled 133km will have to pay 133 * 0.1894 = 25.19€
Passengers, who travelled 73km will have to pay 73 * 0.1894 = 13.83€
Passengers, who travelled 41km will have to pay 41 * 0.1894 = 7.77€
Let's check the result:
4 * 25.19 = 100.76€
3 * 13.83 = 41.59€
1 * 7.77€ = 7.77€
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total cost: 150.12€
The 0.12€ are due to generous rounding in favour of the driver;
So, don't be such a miserly scrooge ;)