Subjects
Maths CBSE Live product
Class 10
Quadratic Equations
Revision

9. Determine the usual speed of the aeroplane

Question:

4 m.

Rohit and Swetha planned a trip to the Maldives for their summer vacation and booked plane tickets. At the time of boarding, the flight was delayed due to climate change. The flight took off 48 minutes later than in scheduled time, and in order to reach its destination 2400 \(km\) away in time, it had to raise its speed by 100 \(km/hr\) from its usual speed.

1. If \(x\) is the usual speed of the plane, then the new speed of the plane will be:

$(x + 100) km / hr$
$100 km / hr$
$(x - 100) km / hr$
$(100 - x) km / hr$

2. What is the relation between speed, distance and time?

\(\text{Distance}\) \(=\) \(\text{Speed} \times \text{Time}\)
\(\text{Time} = \frac{\text{Speed}}{\text{Distance}}\)
\(\text{Time}\) \(=\) \(\text{Speed} \times \text{Distance}\)
\(\text{Speed} = \frac{\text{Time}}{\text{Distance}}\)

3. Which of the following equation describes the given situation?

$x^{2} + 100 x + 300000 = 0$
$x^{2} - 100 x + 300000 = 0$
$x^{2} - 100 x - 300000 = 0$
$x^{2} + 100 x - 300000 = 0$

4. What is the usual speed of the plane?

$500 km / hr$
$48 km / hr$
$100 km / hr$
$600 km / hr$

Reference:

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