A boat travels 40 km upstream in 4 hours and downstream in 2 hours. What is the speed of the stream?
- AOption (a)
3 km/h
- BOption (b)
4 km/h
- COption (c)
6 km/h
- DOption (d)
5 km/h
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Correct answer
5 km/h
Why this answer is correct
According to the question:
Distance upstream = 40 km
Time upstream = 4 hrs
Time downstream = 2 hr
So,
Speed upstream = 40/4 ⇒ 10 km/hr
Speed downstream = 40/2 ⇒ 20 km/hr
Now,
let the speed of the boat be = b
let the speed of the stream be = s
Upstream = b - s ⇒ 10 km/hr
Downstream = b + s ⇒ 20 km/hr
Solving both the equation we get:
2b = 30
b = 15 km/hr
∴ b - s = 10
s = 5 km/hr
Hence, "Option 4" is the correct answer.