# Car

Car travels 1/3 of the trip on the first day, second day 2/5 of the trip and left even 340 km for next days. How long is the trip?

Result

x =  1275 km

#### Solution:

$x-\dfrac{ 1}{ 3} x - \dfrac{ 2}{ 5} x = 340 \ \\ x(1 - \dfrac{ 1}{ 3} - \dfrac{ 2}{ 5}) = 340 \ \\ x = \dfrac{ 340} {1 - \dfrac{ 1}{ 3} - \dfrac{ 2}{ 5}} \ \\ x = 1275 \ \text{km}$

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