Question

A plane left half an hour later than the scheduled time and in order to reach its destination 1500
km away in time, it had to increase its speed by 33 per cent over its usual speed. Find its
increased speed.
(1) 250 km/h
(2) 500 km/h
(3) 750 km/h
(4) 1000 km/h

Answer 1

Answer:

1000km/h

Step-by-step explanation:

Let the usual time taken by the plane = x km/hr

Distance to the destination = 1500 km

Speed = Distance / Time

= (1500 / x) hrs

Time taken by the plane = (x - 1/2) Hrs

Distance to the destination = 1500 km

Speed = Distance / Time

= 1500 / (x - 1/2) Hrs

 Increased speed = 33%

Thus, by increasing the speed by 33.33%, it will be able to reduce the time taken for traveling by 25%.  But thus, this is able to overcome the time delay of 30 minutes, the 30 minutes must be equivalent to 25% of the time that was originally taken.

Hence, the original time must have been two hours and the original speed would be 750 kmph.  Hence, the new speed would be 1000 kmph.

Answer 2

Given : A plane left half an hour later than the scheduled time and in order to reach its destination 1500

km away in time, it had to increase its speed by 33.33 per cent over its usual speed.

To Find :  What was its increased speed

A. 250 kmph

B. 500 kmph

C. 750 kmph

D. 1000kmph

Solution:

Distance = Speed * Time

Let sat Normal Speed =  3N  km/hr

Increased speed   = 3N + (33.33/100)3N  = 4N km/hr

Time taken with Normal Speed  = 1500/3N   = 500/N  hr

Time taken with increased Speed  = 1500/4N   = 375/N  hr

Time to be saved = 1/2 hr

=> = 500/N - 375/N  = 1/2

=> 125/N = 1/2

=>  N = 250

Increased speed   = 4N  = 4 * 250 = 1000 Km/hr

Learn More:

A train was late by 6 min. the driver increased its speed by 4 km/hr ...

brainly.in/question/3516737

One day Ritesh walked from his house to school at a speed of ...

brainly.in/question/17218793