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Question

A boat moves downstream at the rate of $$1 km$$ in $$6 min$$ and upstream at the rate of $$1$$ km in $$10$$ min The speed of the current ( km/hr) is


A
1
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B
1.5
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C
2
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D
2.5
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Solution

The correct option is C $$2$$
Downstream $$a=$$ $$\dfrac {60}{6}$$ = $$10 km $$
Upstream $$b=$$ $$\dfrac{60}{10}$$ = $$6$$
Speed of the current = $$\dfrac{(a-b)}{2}$$
=$$\dfrac{10-6}{2}$$
=$$\dfrac{4}{2}$$
=$$2$$

Mathematics

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