An aeroplane travels $4362$ km against the wind in $6$ hours and $5322$ km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

807 k m / h r

and

80 k m / h r

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800 k m / h r

and

12 k m / h r

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600 k m / h r

and

50 k m / h r

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300 k m / h r

and

25 k m / h r

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200 k m / h r

and

20 k m / h r

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Solution

The correct option is A $807 k m / h r$ and $80 k m / h r$
Let speed of plane be $V_{p}$ and $V_{a}$

Now, $V_{p} - V_{a} = \frac{4362}{6}$

and $V_{p} + V_{a} = \frac{5322}{6}$

Solving these Equations we get
$\Rightarrow V_{p} = 807, V_{a} = 80$

Therefore Answer is $(A)$

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An aeroplane travels 4362 km against the wind in 6 hours and 5322 km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

The correct option is A 807 km/hr and 80 km/hrLet speed of plane be Vp and Va Now, Vp−Va=43626and Vp+Va=53226Solving these Equations we get⇒Vp=807,Va=80Therefore Answer is (A)

An aeroplane travels $4362$ km against the wind in $6$ hours and $5322$ km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

The correct option is A $807 k m / h r$ and $80 k m / h r$
Let speed of plane be $V_{p}$ and $V_{a}$

Now, $V_{p} - V_{a} = \frac{4362}{6}$

and $V_{p} + V_{a} = \frac{5322}{6}$

Solving these Equations we get
$\Rightarrow V_{p} = 807, V_{a} = 80$

Therefore Answer is $(A)$