Question

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.?

Answer 1

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