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Alvin paddled for 44 hours with a 33​-km/h current to reach a campsite. The return trip against the same current took 77 hours. Find the speed of the boat in still water.

Respuesta :

lublana

Answer:

121km/h

Explanation:

Let speed of boat=xkm/h

Speed of water flow=33 km/h

Speed upstream=(x-33)km/h

Speed downstream=(x+33)km/h

Time=44 hrs

Time =77 hrs

We have to find the speed of boat.

[tex]Distance=Speed\times time[/tex]

Using the formula

Upstream distance=Downstream distance

[tex](x-33)\times 77=(x+33)\times 44[/tex]

[tex]77x-2541=44x+1452[/tex]

[tex]77x-44x=1452+2541[/tex]

[tex]33x=3993[/tex]

[tex]x=\frac{3993}{33}=121[/tex]

Hence, the speed of boat=121km/h

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