20 POINTS......PLS ANS SOOON
an old lady while boarding a plane got hurt and the captain immediately called for the medical aid.thus the plane left 30mins later than the scheduled time.then in order to reach its destination 1500km away it has to increase its speed by 250km/hr from its usual speed.find the usual speed
PLS ANS THIS WITH STEPS THEN I LL B MARKING THEM AS BRAINLIEST answer for sure
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Solution :-
Let the original speed of train be x km/hr
New speed = (x + 250) km/hr
We know that,
Time = Distance / Speed
Given : A plane left 30 minutes or 1/2 hours later than the scheduled time.
According to the question,
=> 1500/x - 1500/(x + 250) = 1/2
=> (1500x + 37500 - 1500x)/x(x + 250) = 1/2
=> 2(37500) = x(x + 250)
=> 75000 = x² + 250x
=> x² + 250x - 75000 = 0
=> x² + 1000x - 750x - 75000 = 0
=> x(x + 1000) - 750(x + 1000) = 0
=> (x - 750) (x + 1000) = 0
=> x = 750 or x = - 1000
∴ x ≠ - 1000 (Because speed can't be negative)
Hence,
Its usual speed = 750 km/hr
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