An aeroplane takes one hour forty minutes to cover a distance of 1350.whereas a helicopter takes two hour and forty minutes to cover a distance of 600.Find the ratio of the speeds of the two.
Answers
Given:
Time taken by the aeroplane to cover the distance = 1 hr 40 min.
Distance covered by the aeroplain = 1350 km.
Time taken by the helicopter to cover the distance = 2 hr 40 min.
Distance covered by the aeroplain = 600 km.
Find:
The ratio of the speed of the aeroplain and helicopter
Solution:
Let the speed of the aeroplane be 's' km/hr.
Time taken = 1 hr 40 min
Distance covered = 1350 km
Time = 1 hr 40 min
=> 1 + 40/60 hr
=> 60 + 40/60 hr
=> 100/60 hr
=> 5/3 hr
The speed of the aeroplane.
Speed = Distance/Time taken
=> S = 1350 × 3/5 km/hr
=> S = 810 km/hr
Speed of the aeroplane = 810 km/hr
Now,
Let the speed of the helicopter be 's' km/hr.
Time taken = 2 hr 40 min.
2 hr 40 min distance covered = 600 km.
Time = 2 hr 40 min
=> 2 + 40/60 hr
=> 120 + 40/60 hr
=> 160/60 hr
=> 8/3 hr
The speed of the helicopter.
Speed = Distance/Time taken
=> S = 600 × 3/8
=> S = 225 km/hr.
Speed of the helicopter = 225 km/hr.
So,
Ratio of aeroplane and helicopter = Speed of the aeroplane/Speed of the helicopter
=> R = 810 : 225
Hence, the ratio of aeroplane and helicopter is 810 : 225.
I hope it will help you.
Regards.