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.

Question

3 years ago

6

Find the speed of the boat in still water.

1 answer:

sveta [45] · Answer 1 · 2021-12-17T16:36:30+03:00

sveta [45]3 years ago

8 0

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.

$Distance=Speed\times time$

Using the formula

Upstream distance=Downstream distance

$(x-33)\times 77=(x+33)\times 44$

$77x-2541=44x+1452$

$77x-44x=1452+2541$

$33x=3993$

$x=\frac{3993}{33}=121$

Hence, the speed of boat=121km/h

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.