places A And B are 100 Km apart on a highway.one car starts from A and another from B at the cars travel in the same direction at different speeds, they meet in 5 hours.if they travel towards each other,they meet in 1 hours.what are the speed of the two car
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Answer:
Step-by-step explanation:
Speed of car that starts from place A is x
Speed of car that starts from place B is y
T=D/S
Car starting from A
5=100/x
5x=100
Car starting from B
5=100/y
5y=100
5x-5y=100
5(x-y)=100
x-y=20.....(1)
If the cars travel towards each other, then
x+y=100......(2)
From(1)
x=20+y......(3)
Substituting (3) in (2)
20+y+y=100
20+2y=100
2y=100-20
2y=80
y=80/2
y=40
Substituting y in (2)
x+40=100
x=100-40
x=60
The speed of car starting from place A is 60 km/hr.
The speed of car starting from place B is 40 km/hr.
Hope it helps you!!!
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