While boarding an aeroplane, a passenger got hurt. The pilot showing promptness and concern, made arrangements to hospitalise the injured and so the plane started late by 30 minutes to reach the destination, 1500 km away in time, the pilot increased the speed by 100km/hr. Find the original speed/hour of the plane.

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Solution

Let the usual speed of aeroplane be x km/hr,

Then the increased speed of the aeroplane is = (x + 100) km/hr

Distance to be travelled = 1500 km.

Time taken to reach the destination at original speed, hr

Time taken to reach the destination at increasing speed, $t subscript 2 equals fraction numerator 1500 over denominator x plus 100 end fraction$ hr

According to the question,

= 30 min.

$1500 over x â�� fraction numerator 1500 over denominator left parenthesis x plus 100 right parenthesis end fraction equals 30 over 60$
$fraction numerator 1500 left parenthesis x plus 100 right parenthesis â�� 1500 x over denominator x left parenthesis x plus 100 right parenthesis end fraction equals 1 half$
$fraction numerator 1500 x plus 150000 â�� 1500 x over denominator x squared plus 100 x end fraction equals 1 half$
$fraction numerator 150000 over denominator x squared plus 100 x end fraction equals 1 half$

Since, the speed of plane can never be negative

Therefore, the original speed of the plane is 500 km/hr.

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While boarding an aeroplane, a passenger got hurt, The pilot showing promptness and concern, made arrangements to hospitalise the injured and so the plane started late by 30 minutes. To reach the destination, 1500 km away, in time, the pilot increased the speed by 100 km/hour. Find the original speed of the plane.
Do you appreciate the values shown by the pilot, namely promptness in providing help to the injured and his efforts to reach in time?

While boarding an aeroplane, a passenger got hurt. The pilot showing promptness and concern, made arrangements to hospitalise the injured and so the plane started late by 30 minutes. To reach the destination, 1500 km away, in time, the pilot increased the speed by 100 km/hour.
Find the original speed of the plane.
Do you appreciate the values shown by the pilot, namely promptness in providing help to the injured and his efforts to reach in time?
[CBSE 2013]

Q. A passenger while boarding the plane slippe from the stairs and got hurt. the pilot took the passengers in the emergency clinic at the airport for the treatment due to this, plane got delayed half an hour. To reach the destination 1500km away in time, so that the passengers could catch the connection flight, the speed of the plane was increased by 250km/hr than the usual speed. What is the usual speed of the plane.

Q. A passenger , while boarding the plane, slipped from the stairs and got hurt. The pilot took the passenger in the emergency clinic at the airport for the treatment. Due to this, the plane got delayed by half an hour. To reach the destination

1500 k m

away in time. so that the passengers could catch the connecting flight, the speed of the plane was increased by

250 k m / h r

than the usual speed. Find the usual speed of the plane What value is depicted in this question?

Q. An aeroplane started

30

minutes later than the schedule time from a place

1500 k m

away from its destination to reach the destination at the schedule time the pilot had to increase the speed by

250

km/hr what was the speed of the aeroplane per hour during the journey?

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