Question

A rowing team rowing with the current traveled (d₁ = 60) km in (t = 3) h. Rowing against the current, the team could travel only (d₂ = 24) km in (t = 3) h. Find the rowing rate in calm water and the rate of the current.

a) Rowing team = 14 km/h, current = 2 km/h
b) Rowing team = 12 km/h, current = 3 km/h
c) Rowing team = 15 km/h, current = 5 km/h
d) Rowing team = 10 km/h, current = 4 km/h

Answer 1

The rowing rate in calm water is 12 km/h, and the rate of the current is 3 km/h.

Step-by-step explanation:

Let's solve this problem using the formula:

d = rt

where d is distance, r is rate, and t is time.

Using the given information, we can set up two equations:

60 = (r + c) * 3

24 = (r - c) * 3

where c is the rate of the current and r is the rowing rate in calm water.

Solving these equations simultaneously, we get:

r = 12 km/h

c = 3 km/h

Therefore, the rowing rate in calm water is 12 km/h and the rate of the current is 3 km/h.