10. Bhargav travelled by bus at the speed of 40 kmph. He then boarded a train which moved at the speedof 60 kmph and reached his destination. If the entire distance covered was 150 km in a duration of3 hrs, then how much distance he travelled by train?
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Answer:
90km
Step-by-step explanation:
let he travel x km by bus and y km by train
now
by 1st condition
x+y=150-1
by 2nd condition
x/40+x/60=3. ( speed = distance/time
therefore time =distance /speed)
multiple by 120
3x + 2y=360. -2
now multiple equation 1 by 2
2x +2y=300 -3
subtract equation 3 from 2
now 3x +2y=360
2x +2y=300
_________
-. -. -
x. =60
put x=60in equation 1
60 + y=150
y=150-60=90
Bhargav travelled 90 km by train
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