The motor boat moves against the river flow in 1.2 hours covered 7.8 km.
December 30, 2020 | education
| The motor boat moves against the river flow in 1.2 hours covered 7.8 km. What path will this boat take in 6 hours along the river, if the current speed is 1.7 km / hour.
Decision:
1) Find the boat’s own speed:
x km / h – own boat speed
Since the boat was moving against the current of the river:
(x-1.7) * 1.2 = 7.8
x-1.7 = 7.8 / 1.2
x-1.7 = 6.5
x = 6.5 + 1.7
x = 8.2
8.2 km / h – boat’s own speed
2) Let’s find how long the boat will pass along the river in 6 hours:
(8.2 + 1.7) * 6 = 9.9 * 6 = 59.4 km
Answer: 59.4 km
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