Answer:
The total length of route travelled in 3 days = 30 km
Lungimea traseului parcurs în cele trei zile = 30 km
Step-by-step explanation:
English Translation of the Question
A tourist traveled a route in three days. On the first day the tourist covered 40% of the length of the route, on the second day the tourist covered 5/6 of the remaining distance after the first day, and on the third day the remaining 3 km. Calculate the length of the route traveled in the three days.
Let the total length of the route be x.
Lungimea traseului parcurs în cele trei zile = x
- On the first day, the tourist covers 40% of the total length of the route;
În prima zi turistul a parcurs 40% din lungimea traseului
That is, 40% of x = 0.4x
- On the second day, the tourist covered 5/6 of the remaining journey.
în a doua zi turistul a parcurs 5/6 din distanța rămasă de parcurs după prima zi
The remaining journey after day 1 = x - 0.4x = 0.6x
(5/6) of the remaining journey = (5/6) × 0.6x = 0.5x
- On the third day, the toursit travels the total remaining length of the route = 3 km
iar în a treia zi restul de 3 km
The total remaining length of the route = x - 0.4x - 0.5x = 0.1x
0.1x = 3
x = (3/0.1) = 30 km
The Hope this Helps!!!