places A and B are 100 KM apart on a highway 1 car starts from A and another from the at the same time of different speeds is the cars travel in the same Direction they meet in 5 hours if the travel towards Each Other they meet in one hour what are the speed of the two cars
Answers
here is your answer ,
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Let speed of car which starts from part A = x km/hr
Let speed of car which starts from part B = y km/hr
According to given conditions,
100/x-y=5(Assuming x > y)
⇒ 5x − 5y = 100
⇒ x – y = 20 … (1)
And,
100/x+y=1
⇒ x + y = 100 … (2)
Adding (1) and (2), we get
2x = 120
⇒ x = 60 km/hr
Putting value of x in (1), we get
60 – y = 20
⇒ y = 60 – 20 = 40 km/hr
Therefore, speed of car starting from point A = 60 km/hr
And, Speed of car starting from point B = 40 km/hr
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ANSWER
Let the speed of car at A be x kmph
and the speed of car at B be y kmph
when the car travel in same direction Relative Speed is x−y
Dist=100km
t=5 hours
∴ Dist =S×T
100=(x−y)5
x−y=20⟶(I)
when car travel in opp direction Relative Speed is x+y
Dist=100km
t=1 hours
Dist=ST
100=(x+y)1
x+y=100⟶(II)
Solving (I) & (II)
x−y=20
x+y=100
2x=120
x=60km/h
y=40km/h
Speed of the car at A =60 km/h
Speed of the car at B=40 km/h
The difference of speeds is 60−40=20