Ankita travels 14 km to her home partly by train and partly by bus she takes half an hour if he travels to kilometre by rickshaw and remaining distance first on the other hand if she travels for kilometre by rickshaw and remaining by bus 9 minut longer find speed of rickshaw and bus by substitution method
Answers
Answer:
10km/hr
Explanation:
Let the speed of rickshaw and bus be x and y km/hr.
speed= distance/time
time= distance/speed
As the total distance traveled by her is 14 km.
∴ Distance traveled by bus =14− Distance traveled by rickshaw
Case I:-
She takes half an hour if she travels 2 km by rickshaw, and the remaining distance by bus.
∴
time taken by rickshaw + time taken by bus=
2/x + 12/y = 1/2 eq :- (i)
Case II:-
If she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer.
total time taken by her = 1/2 + 9/60 = 30 / 60 hr
Therefore , time taken by rikshaw + time taken by bus = 4/x + 10/y = 39 / 60 eq :- (ii)
On solving eq. 1 and 2, we get
x=10 km/hr
y=40 km/hr
Hence, speed of rickshaw is 10 km/hr.
Please mark it as a brainliest answer !!!!!!!