Question

A man rows 8 km/hr in still water. If the river is running at 2 km/hr, it takes 32 minutes to row to a place and back. How far is the place?

• A. 1.5 km
• B. 2.5 km
• C. 2 km
• D. 3 km

Hint:

For two-way journey problems, use: \[ \frac{d}{\text{Speed}_{\text{down}}} + \frac{d}{\text{Speed}_{\text{up}}} = \text{Total time} \]

Answer 1

The Correct Option is C

Speed downstream: \[ 8 + 2 = 10 \text{ km/hr} \] Speed upstream: \[ 8 - 2 = 6 \text{ km/hr} \] Let the distance be \( d \). Total time for round trip: \[ \frac{d}{10} + \frac{d}{6} = \frac{32}{60} \] Solving: \[ \frac{6d + 10d}{60} = \frac{32}{60} \] \[ \frac{16d}{60} = \frac{32}{60} \] \[ 16d = 32 \] \[ d = 2 \] Thus, the correct answer is 2 km.