Question

1. Train a leaves the station at a certain time and at a uniform speed after 7 hours train b leaves the same station and moves in the same direction at a uniform speed of 152 km/hr. Train b catches up train a in 9 hours. What is the speed of train a (in km/hr.) ?

Answer 1

Let speed of Train A=x km/hr
Train B leaves the station after 7 hrs
Speed of train B=152 km/hr
Train B catches train A in 9 hrs
Distance travelled by Train B=152×9=1368 km
Train A travelled 1368 km in 16 hr(7+9 hr)
Speed of Train A=1368÷16=85.5 km/hr

Answer 2

Let the speed of train a be x

Distance covered by train a in 16 hrs (9+7) = distance covered by train b in 9 hours

Therefore, 16x = 9×152

x = 171/2

x= 85.5km/hr

Therefore , speed of train a is 85.5km/hr.