Subjects
Maths CBSE Live product
Class 10 (2026-27)
Quadratic Equations
Revision II - Quadratic Equations

8. Determine the usual speed of the aeroplane

Question:

5 m.

Rohit and Nisha 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 36 minutes later than in scheduled time, and in order to reach its destination 1800 \(km\) 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:

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

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

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

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?

$600 km / hr$
$36 km / hr$
$500 km / hr$
$100 km / hr$

5. Quadratic equation can have __________ roots.

only one
atmost two
atmost three
atleast two

Reference:

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