2. The speed of a boat in still water is 15 km/h. It can go 30 km upstream and return
downstream to the original point in 4 hours 30 minutes. Find the speed of the stream
[Ans. Speed of stream = 5 km/h
Answers
Answer:
Step-by-step explanation:Let speed of stream = x km/h
∴ Downstream speed = (15+x) km/h
∴ Upstream speed = (15-x) km/h
∴ 30/(15+x) + 30/(15-x) = 4 1/2
→ 900/225-x² = 9/2
→ 9x² = 225
→ x² = 25
→ x = 5
∴ Speed of stream = 5 km/h
≡QUESTION≡
The speed of a boat in still water is 15 km/h. It can go 30 km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
║⊕ANSWER⊕║
Let speed of stream = x km/h
Downstream speed = (15+x) km/h
Upstream speed = (15-x) km/h
30/(15+x) + 30/(15-x) = 4 1/2
900/225-x² = 9/2
9x² = 225
x² = 25
x = 5
∴ Speed of stream = 5 km/h