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Question

A plane left 30 minutes later than the scheduled time and in order to reach its destination 1500kmph away in time, it has to increase its speed by 250kmph from its usual speed. Find its usual speed.

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Solution

Let the usual speed of the plane be x kmph ,then
Time taken to cover 1500 km with the usual speed=1500xhrs
Time taken to cover 1500 km with the speed of (x+250)kmph=1500x+250
then,

1500x=1500x+250+12

1500x1500x+250=12

1500x+1500×2501500xx(x+250)=12

1500×250x2+250x=12

x2+250x750000=0

x(x+1000)750(x+1000)=0

(x+1000)(x750)=0

x=1000 or x=750

x can not be a negative

x=750

Hence, the usual speed of the plane is 750 kmph

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