Two automobiles start out at same time from cities 595 kms apart. if the speed of one is 8/9 of the speed of other and if they meet in 7 hours, what is the speed of each.?
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Answer:
x = 40km/h and y = 45km/h
Step-by-step explanation:
Their distance (S) = 595km
Let the first automobile be x
'' '' second automobile be y
x = 8/9y
And the time they met is 7hrs
Eq. Speed = Distance/Time
S = 595/7 = 85
Therefore x+y = 85
To calculate the individual speed
where x = 8/9y
(8/9)y+y = 85
17/9y = 85 ⇒ 17y = 85(9)
y = 5(9) = 45km/h
Therefore the speed of the second automobile
x + y = 85 {where y = 45}
x = 85-45 = 40km/h
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