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Solve:two automobiles start out at the same time from cities 595 kilomete apart.If the speed of one is 8/9 of the speed of the other & if they meet in

7 hours,what is the speed of each.



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Let the speed of one automobile (A)= x km/h
speed of other automobile (B) = 8x/9 km/h
total time = 7 hours
total distance travelled = 595 km

distance travelled by A = 7x km  (velocity×time)
distance travelled by B = 7×(8x/9) km = 56x/9

Total distance = 7x+ \frac{56x}{9}=595



119x = 9*595

⇒x =  \frac{9*595}{119} =45km/h (speed of A)

 \frac{8x}{9}= \frac{8*45}{9}=40km/h  (speed of B)
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