Question

NEED EXPLANATION PLEASE

A hovercraft travels at 40 km / h over level ground and 10 km / h over a
choppy body of water. If the hovercraft took 5.75 hours to cover 185 km, how far
has he traveled on the ground and on the water?

Answer 1

9514 1404 393

Answer:

• 170 km on the ground
• 15 km over water

Explanation:

Let t represent the amount of time spent over level ground. Then 5.75-t is the time spent over water. The total distance covered is ...

distance = speed · time

40(t) + 10(5.75 -t) = 185

30t + 57.5 = 185

30t = 127.5

t = 4.25

40t = 170

185 -170 = 15

The hovercraft covered 170 km on the ground and 15 km on the water.