A person cover a distance of 450 km partly by train and partly by car If he travels 100 km by train rest by car it-takes 8 hours

A person cover a distance of 450 km partly by train and partly by car If he travels 100 km by train rest by car it-takes 8 hours and if he covers 170 by train and rest by car it takes him 8 hours 12 minute to cover that distance. Find the speed of train.

(a)          28km/hr

(b)          45 km/hr

(c)           50 km/hr

(d)          45.5km/hr

Sol:

⇒ 400(t) + 1400(c) = 32 …(i)

850(t) + 1400(c) = 43 …(ii)

Subtracting (i) from (ii)

= 450(t) = 9 hours

⇒ 450 km by train in 9 hours

In 1 hour = 50 km.