Question

If a ferry travels upstream against the current at 16 km/h and can travel with the current at 30 km/h, what is the rate of the ferry in still water? What is the rate of the current?

a) Ferry rate: 23 km/h, Current rate: 7 km/h
b) Ferry rate: 30 km/h, Current rate: 16 km/h
c) Ferry rate: 14 km/h, Current rate: 16 km/h
d) Ferry rate: 16 km/h, Current rate: 30 km/h

Answer 1

The rate of the ferry in still water is 23 km/h, and the rate of the current is 7 km/h.

Step-by-step explanation:

The rate of the ferry in still water can be found by finding the average of the speed upstream and downstream. The average of 16 km/h and 30 km/h is 23 km/h, so the rate of the ferry in still water is 23 km/h.

To find the rate of the current, we subtract the rate of the ferry in still water from the speed downstream. 30 km/h - 23 km/h = 7 km/h, so the rate of the current is 7 km/h.