If speed of boat in still water is x km - h and speed of stream is y km - h-S1 - upstream speed of boat is x - y km - hS2- downstream speed is x - y km - hA- S1 and S 2 are trueB- S1 is true and S 2 is falseC- S1 is false and S2 is trueD- S1 and S2 are both false

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Representing Linear Equations for a Word Problem

If speed of b...

Question

If speed of boat in still water is x km/h and speed of stream is y $\frac{k m}{h}$ .

S1 : upstream speed of boat is (x-y) $\frac{k m}{h}$

S2 : downstream speed is (x+y) $\frac{k m}{h}$

S1 and S2 are true

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S1 and S2 are both false

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S1 is true and S2 is false

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S1 is false and S2 is true

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Solution

The correct option is A
S1 and S2 are true

Upstream refers to motion of boat against the stream. Therefore its speed is reduced. Hence speed of the boat in upstream is (x-y) $\frac{k m}{h}$

Downstream refers to motion of boat in direction of stream. Hence speed is (x+y) $\frac{k m}{h}$

Hence both the statements are true.

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If speed of boat in still water is x km/h and speed of stream is y kmh . S1 : upstream speed of boat is (x-y) kmh S2 : downstream speed is (x+y) kmh

The correct option is A S1 and S2 are true Upstream refers to motion of boat against the stream. Therefore its speed is reduced. Hence speed of the boat in upstream is (x-y) kmh Downstream refers to motion of boat in direction of stream. Hence speed is (x+y) kmh Hence both the statements are true.

If speed of boat in still water is x km/h and speed of stream is y $\frac{k m}{h}$ .

S1 : upstream speed of boat is (x-y) $\frac{k m}{h}$

S2 : downstream speed is (x+y) $\frac{k m}{h}$