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Let the speed of rickshaw and bus be x and y km/hr.
speed=
time
distance
⇒time=
speed
distance
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
x
2
+
time taken by bus
y
12
=
total time taken (given)
2
1
⟶eq.(1)
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 =
2
1
+
60
9
=
60
39
hr
∴
time taken by rickshaw
x
4
+
time taken by bus
y
10
=
total time taken (given)
60
39
⟶eq.(2)
On solving eq. 1 and 2, we get
x=10 km/hr
y=40 km/hr
Hence, speed of rickshaw is 10 km/hr.
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