Two automobile start out at the same time from cities 595 km apart. If the speed of one is 8/9 of the speed of the other and if they meet in 7 hours, what is the speed of each?
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Step-by-step explanation:
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}=5957x+
9
56x
=595
⇒\frac{63x+56x}{9}=595
9
63x+56x
=595
⇒\frac{119x}{9}=595
9
119x
=595
⇒119x = 9*595119x=9∗595
⇒x = \frac{9*595}{119} =45km/h
119
9∗595
=45km/h (speed of A)
\frac{8x}{9}= \frac{8*45}{9}=40km/h
9
8x
=
9
8∗45
=40km/h (speed of B)
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