EEE.4 Taxi fare of two types of cars

As for the meter of the taxi fare, until 2000 m from starting point, it is 450 yen by a downsized car and 470 yen by a standard car.

When it exceeds 2000 m, 70 yen is added to the fare in both size of car and it is changed to 520 yen until 2400 m by a downsized car and to 540 yen until 2370 m by a standard car.

As is in the same as above, in every time the distance exceeds 400 m in case of downsized car and 370 m in case of standard car, 70 yen is added to the taxi fare.

Answer the following questions.

(1) Find the longest distance where you take a taxi and can go within 1000 yen.

Find it in each case of downsized car and standard car.

(2) When you go to the some place of 5000 m far by taxi, find the difference of the fare by the case you take downsized car and standard car.

(3) I took a taxi from A point to B point.

The number of times that fare meter was added was three in both cases that I took downsized car and standard car.

Find the range of the distance from A point to B point.

(4) I took a taxi from C point to D point.

The number of times that fare meter was added was same in both cases that I took downsized car and standard car.

Find the longest distance in the distance considered between C point and D point.














Answer
(1) downsized car = 4800 m, 
standard car = 4590 m
(2) 90 yen
(3) more than 2800 m, less than or equal to 3110 m
(4) 6810 m