Question

a plane left 2 h later than the scheduled time and in order to reach its destination 2400 km away in time,it has to increase its speed by 33.33% over its usual speed.find the new increased speed​

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A plane left half an hour later than the scheduled time and in order to reach its destination 1500 kilometers away in time, it had to increase its speed by 33.33 percent over its usual speed. What is its increased speed?

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Anil Kumar, Beachlor of technology Electrical and Electronics Engineering, Jawaharlal Nehru Technological University, Kak…

Answered April 3

let initial speed of the plane be 100kmph

the speed is increased by 33.33%

now the speed of the plane is 133.33 kmph

distance = 1500 kms

speed is inversly proportional to time

In 60minutes the plane is travelled 133.33km

for 1km = 60/133.33

100 km = (60/133.33)*100

=45 min

decreased time is 15 min = 25% of an hour

by increasing the speed of 33.33%,the time will be reduced to 25%.

for 30 mins delay it would be equal to 25%

hence, the total time taken to cover 1500kms is 2 hours

speed = 1500/2

for 30 mins delay it would be equal to 25%

original speed of a plane is =750kmph

speed is increased by 33.33% = (750*33.33)/100

=250kmph

now the new speed of the plane is = 750+250

1000kmph.

hope it will understand;