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

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Representing linear equations for a word problem

If the speed ...

Question

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

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

S2 : downstream speed of the boat 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 the motion of the 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 the motion of the boat in the direction of the stream. Hence speed is $(x + y) \frac{k m}{h}$

Hence both the statements are true.

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If the speed of the boat in still water is xkmh and speed of the stream is ykmh . S1 : upstream speed of the boat is (x−y)kmh S2 : downstream speed of the boat is (x+y)kmh

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

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

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