Raju travels 250 km to his home partly by train and partly by bus.
He takes 6 hours if he travels 50 km by train and remaining distance
by bus. If he travels 100 km by train and remaining distance by bus,
he takes 7 hours. Find the speed of the train and the bus separately.
Answers
Answer:
speed of the train = 25 km/h
speed of the bus = 50 km/h.
Step-by-step explanation:
Let speed of the train is x km/h
and speed of the bus is y km/h
A/C to question,
he takes 6 hours of he travels 50km by train and remaining distance by bus.
e.g., time taken by train + time taken by bus = 6 hours
50/x + 200/y = 6 -------(1)
again, if he travels 100 km by train and remaining distance by bus , he takes 7 hours .
e.g., time taken by train + time taken by bus = 7 hours
100/x + 150/y = 7 -------(2)
solve equations (1) and (2),
multiply 2 with equation (1) and then subtract equation (2) from equation (1),
2(50/x + 200/y) - (100/x + 150/y) = 6 × 2 - 7
=> 400/y - 150/y = 12 - 7 = 5
=> 250/y = 5
=> 50/y = 1 => y = 50 , put it equation (1),
50/x + 200/y = 6
=> 50/x + 200/50 = 6
=> 50/x + 4 = 6
=> 50/x = 2
=> x = 25
hence, speed of the train = 25 km/h .
speed of the bus = 50 km/h.
HOPE THIS IS HELPFUL FOR YOU .
THANK YOU.