SOLUTION: One day Ayaan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next day he covered 18 km at x km/hr and another 48 km at y km/hr. If each day he took 9 hours to

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One day Ayaan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next day he covered 18 km at x km/hr and another 48 km at y km/hr. If each day he took 9 hours to      Log On


   

Question 592255: One day Ayaan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next day he covered 18 km at x km/hr and another 48 km at y km/hr. If each day he took 9 hours to complete his journey, find the corresponding values of speed of x and y.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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One day Mayan covered a distance of 24 km at x km/hr and another 40 km at y km/hr.
Next day he covered 18 km at x km/hr and another 48 km at y km/hr.
If each day he took 9 hours to complete his journey, find the corresponding values of speed of x and y.
:
Write a time equation for each day
:
24%2Fx + 40%2Fy = 9
and
18%2Fx + 48%2Fy = 9
:
Multiply the 1st equation by 1.2, subtract the 2nd equation
28.8%2Fx + 48%2Fy = 10.8
18%2Fx + 48%2Fy = 9
---------------------------subtraction eliminates y
10.8%2Fx} + 0 = 1.8
10.8 = 1.8x
x = 10.8%2F1.8
x = 6 km/hr
:
Find the y using the 1st day equation
24%2F6 + 40%2Fy = 9
4 + 40%2Fy = 9
40%2Fy = 9-4
40 = 5y
y = 40/5
y = 8 km/hr
:
:
Check solutions in the 2nd day equation
:
18%2F6 + 48%2F8 = 9
3 + 6 = 9