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A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio of the speed of the boat to the speed of the water current?

1. 2:1
2. 3:2
3. 8:3
4. Cannot be determined

Correct answer: 8:3

Solution

Upstream time is \(8\) h \(48\) min = \(44/5\) hours. Let boat speed be \(b\) and stream speed be \(s\). Since the same distance is covered, \(\frac{44}{5}(b-s)=4(b+s)\). Solving gives \(b:s=8:3\).

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