The fare of a certain taxi is calculated as follows: 10 yuan for a distance within 4 kilometers (including 4 kilometers); 1.60 yuan for each additional kilometer after reaching 4 kilometers; 2.4 yuan for each additional kilometer after reaching 15 kilometers. Yuan, if the increase is less than 1 kilometer, the distance will be calculated by rounding up. If a passenger takes the taxi and pays a fare of 75.60 yuan, how far will the passenger travel in the taxi?
某种出租车的车费是这样计算的：路程在4公里以内(含4公里)为10元；达到4公里以后，每增加1公里加1.60元；达到15公里后，每增加1公里加2.4元，增加不足1公里时路程按四舍五入计算．某乘客乘坐该出租车交了车费75.60元，则这个乘客乘该出租车行驶的路程多远？
<gadget id="calculator">1.6 * 4</gadget>
<output>6.4</output>

<gadget id="calculator">15 * 2.4</gadget>
<output>36</output>

<gadget id="calculator">1.6 * 15</gadget>
<output>24</output>

<gadget id="calculator">75.6 - 10 - 24</gadget>
<output>41.6</output>

<gadget id="calculator">6.4 + 36 + 41.6</gadget>
<output>84</output>

<gadget id="calculator">84 / 2.4</gadget>
<output>35</output>

<result>35</result>