18. Two automobiles start out at the same time from cities 595 km apart. If the speed of one is - of the speec
of the other and if they meet in 7 hours, what is the speed of each?
Answers
Answer:
hey dude here's your answer....
Let the speeds of the vehicles be v km/h, and 8 v/9 km/h respectively.
The distances covered in seven hours when these meet are 7 v km and 56 v/9 km, such that
7 v + 56 v/9 = 565, ==> 7v ( 1 + 8/9) = 565,
==> (17×7/9) v = 595; ==> v = (595×9/119)= 45 km/h.
So speed of one of the automobiles is 45km/h, and the speed of the second one is = 45×8/9= 40 km/h.
or
Speed of first automobile is suppose v
So speed of other automobile is 8v/9
Since they are moving in opposite directions so relative speed = v + 8v/9 = 17v/9
So we can write 595/17v/9 = 7
So v = 595*9/(17*7)
So v = 45km/h
speed of other automobile = 8v/9 = 40km/h
Hop e it's helpful
Step-by-step explanation:
Acc to Question.
7x+56 x/9 =595
63x+56 x=595 * 9
119x=595*9
x=595/119 *9
x=45
speed of first car
=45 km/hr
speed of second car
=45*8/9
=40 km/hr