The motor ship went 3 hours against the river and 1 3/5 hours downstream. How many kilometers less

The motor ship went 3 hours against the river and 1 3/5 hours downstream. How many kilometers less did the motor ship go downstream than against the current, if the speed of the current is 2 1/4 km / h, and the own speed of the motor ship is 22 1/3 km / h?

1) 22 1/3 – 2 1/4 = 22 4/12 – 2 3/12 = 20 1/12 (km / h) – speed of the motor ship against the river flow;
2) 20 1/12 * 3 = 241/12 * 3 = 241/4 = 60 1/4 (km) – the route of the motor ship against the stream of the river;
3) 22 1/3 + 2 1/4 = 22 4/12 + 2 3/12 = 24 7/12 (km) – speed of the ship along the river;
4) 24 7/12 * 1 3/5 = 295/12 * 8/5 = 118/3 = 39 1/3 (km) – the route of the ship along the river;
5) 60 1/4 – 39 1/3 = 60 3/12 – 39 4/12 = 59 15/12 – 39 4/12 = 20 11/12 (km) – so much less the motor ship passed along the river.
Expression: (22 1/3 – 2 1/4) * 3 – (22 1/3 + 2 1/4) * 1 3/5 = 20 11/12
Answer: the path downstream is 20 11/12 km less.



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