A fast train takes 3 hours less than a slow train for a journey of 600 km If the - Maths - Quadratic Equations

Question

A fast train takes 3 hours less than a slow train for a journey
of 600 km If the speed of the slow train was 10 km/h less than that
of the fast train , find the speeds of the trains

Gursheen kaur. · Accepted Answer

let the speed of slow train = x
km/hr

and the speed of fast train =( x+10)
km/hr

Now,

Time to cover 600 km by slow train = 600/x
hrs Time
taken by fast train to cover 600 km = 600/(x+10)
hrs

âˆ´According
to question,

âˆ´The
speed of slow train 
= x km/hr = 40
km/hr

and the
speed of fast train 
=( x+10) km/hr= 40+10=
50
km/ hr

A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow train was 10 km/h less than that of the fast train , find the speeds of the trains .