Ramkishan goes to his office by car, if he increases speed of car by 10 kin/h than usual speed then he reaches his office 60 minutes earlier and if he increases speed of his car by 20 km/h than usual speed then he reaches his office 105 minutes earlier. Find his usual speed, usual time and distance between his home and office?
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2
speed (s) = distance/time
s=d/t
d= st----->1
s+10 = d/t-1(time in hours)
(s+10)(t-1)=d (from eqn 1)
st+10t-10-s=st
10t-s=10---->2
(s+20)(t-(7/4))=d(from eqn 2)
st+20t-(7/4)s-35=st
20t-(7/4)s=35 ---->3
from (eqn 2) ×2 =20t- 2s =20
from (eqn 3)= 20t-(7/4)s=35
.'.s=60 km/hr.
t=7 hr
from eqn 1
d= s×t
=(60)×(7)
d =420 km
Answered by
1
Answer:
usual speed=60Km/h
usual time=7 hours
distance=420 Km
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