Question

ankita travels 14 km to her home partly by Rickshaw and parly by bus she take half an hour if she travel s 2 km by Rickshaw and remaining by bus.on the other hand if she travels 4 km by rickshaw and remaining by bus she take 9 min longer.find the speed of Rickshaw and bus

Answer 1

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given: total distance=14km

she travelled 2 km by ricksaw

and 12km by bus

on the other hand
she travels 4 km by rickshaw and 8 km by bus.

let the speed of ricksaw & bus be 'r' &' b' then,

equation:


=>2/r+12/b =30min

=>2/r+12/b =30/60hour●●●●●1]



another equation:

4/r+ 8/b=39●●●●2]



now,

from both equation we have


2/r+12/b=30••••••[multiplying by 4]

4/r+8/b=39••••[multiplying by 2]

__________________
we have:

8/r+48/b=120

8/r+16/b=78
-.....-.........-
__________________


32/b=42

b=32/42

b=16/21


【speed of bus = 16 km /21 min】


on putting value of b in eq we have:


8/r+63=120

8/r=57

r= 8 km / 57 min

【speed of rickshaw =8 km /57 min...】