Aboat traveled 280 miles downstream and back. the trip downstream took 7 hours. trip back took 14 hours. what is the speed of the boat in still water? what is the speed of the current?

speed of the boat: 30 mi/h, speed of the current: 10 mi/h

Explanation:

- During the trip downstream, the boat traveled 280 miles with a speed of (v+c), where v is the speed of the boat and c is the speed of the current. Since the time taken is 7 h, we can write the following equation:

which is the equivalent of

- During the trip upstream, the boat traveled 280 miles with a speed of (v-c), where v is the speed of the boat and c is the speed of the current. Since the time taken is 14 h, we can write the following equation:

So we have two equations that we can solve simultaneously to find v and c:

Solving:

Multiplying first equation by 2:

By adding 2nd equation to 1st one, we get

From 1st equation we get

Substituting into second one we get

So, we have:

- speed of the boat in stil water: 30 mi/h

- speed of the current: 10 mi/h

where is the photo and the answer choices?