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Standard XII

Mathematics

Rate of Change

A boat moves ...

Question

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

1

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2.5

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Solution

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

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

The correct option is C 2Downstream a= 606 = 10km Upstream b= 6010 = 6 Speed of the current = (a−b)2 =10−62 =42 =2

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

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