Question

a ship covered A certain distance at a uniform speed if the speed of ship would have been 6 km per hour faster it would have taken 4 hours less than the scheduled time and if the speed of the ship is slow by 6 km per hour it would have taken 6 hours more than schedule time find the length of the journey

Answer 1

let the speed of the train = x km/hr

let the distance covered = y km.

scheduled time to cover the distance = distance / speed

= y / x hr

if the train is 6 km / hr faster, new speed = (x+6) km/hr

it would have taken 4 hr less, therefore

next is is image (1)
if the train were 6 km / hr slower, new speed = (x-6) km / hr

it would have taken 6 hrs more, therefore

the next is image (2)

since x is the speed of the train therefore x =30 km / hr

and substitute x = 30 in eq(2):

the next is in image (3)

thus the distance covered is 720 km and speed of the train is 30 km / hr.

hope this helps you.

cheers!!