A boat, which moves at 12 miles per hour in water without a current, goes 45 miles upstream and 45 miles back again in 8 hours. Find the speed of the current to the nearest tenth.
The speed of the current is
miles per hour.

Given:

Speed in still water = 12 miles per hour

Distance travel in upstream = 45 miles

Distance travel in downstream = 45 miles

Total time = 8 hours

To find:

The speed of current.

Solution:

Let the speed of current be x miles per hour.

Speed in upstream = (12-x) miles per hour

Speed in downstream = (12+x) miles per hour

We know that,

Time to cover 45 miles in upstream =

Time to cover 45 miles in downstream =

Total time is 8 hours. So,

Taking LCM, we get

On further simplification, we get

Taking square root on both sides.

Speed cannot be negative. So, x=3 only.

Therefore, the speed of the current is 3 miles per hour.

1. supplementary angles

2. acd and bcd

step-by-step explanation:

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step-by-step explanation: