Question

a boat travels 40 miles in two hours, speeds up to travel the next 80 miles in three hours then slows down to travel the last 40 miles in three hours. What is the average speed of the boat the entire trip?

Answer 1

Average speed, v = 2 miles/hour

Step-by-step explanation:

It is given that, a boat travels 40 miles in two hours, speeds up to travel the next 80 miles in three hours then slows down to travel the last 40 miles in three hours.

Total distance travelled, d = 40 + 80 + 40 = 160 miles

Total time taken by the boat, t = 2 + 3 + 3 = 8 hours

We need to find the average speed of the boat the entire trip. It is given by total distance travelled by the boat divided by total time taken. Mathematically,

`v=(d)/(t)`

`v=(160\ miles)/(8\ hours)`

v = 2 miles/hour

So, the average speed of the boat the entire trip is 2 miles/hour. Hence, this is the required solution.

Answer 2

The average speed of the boat the entire trip is 20 miles/hour.

Step-by-step explanation:

Given that,

A boat travels 40 miles in 2 hours next 80 miles in three hours and last 40 miles in three hours.

We need to calculate the average speed of the boat the entire trip

Using formula of average speed

`v_(avg)=(D)/(T)`

Where, D = total distance

T = total time

Put the value into the formula

`v_(avg)=(40+80+40)/(2+3+3)`

`v_(avg)=(160)/(8)`

`v_(avg)=20\ miles/hour`

Hence, The average speed of the boat the entire trip is 20 miles/hour.