The motor ship passes along the river S = 40 km, t = 2 hours, upstream of 45 km in 3 hours.

| January 5, 2021 | education

The motor ship passes along the river S = 40 km, t = 2 hours, upstream of 45 km in 3 hours. Determine the speed of the river and the speed of the ship in the water-related reporting system.

To find the velocities of the river and the considered motor ship, we will use the formulas: Vflow = 0.5 * (V1 – V2) = 0.5 * (S1 / t1 – S2 / t2) / 2 and Vheat = 0.5 * (V1 + V2 ) = 0.5 * (S1 / t1 + S2 / t2) / 2.
Values of variables: S1 – path downstream (S1 = 40 km); t1 – duration of movement along the current (t1 = 2 h); S2 – path upstream (S2 = 45 km); t2 – duration of movement against the current (t2 = 3 hours).
Payment:
a) Current speed: Vflow = 0.5 * (40/2 – 45/3) = 2.5 km / h;
b) Speed of the motor ship: Vheat = 0.5 * (40/2 + 45/3) = 17.5 km / h.
Answer: The current speed is 2.5 km / h; the speed of the ship is 17.5 km / h.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.