SOLUTION: A boy cycles x km at 8 km/hr and y km at 20 km/hr . His total time is 3.5 hours. The total time taken to the cycle (2x+4) km at 8 km/hr and y/3 km at 20 km/hr is 5 hours. Find x a

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Question 1043319: A boy cycles x km at 8 km/hr and y km at 20 km/hr . His total time is 3.5 hours. The total time taken to the cycle (2x+4) km at 8 km/hr and y/3 km at 20 km/hr is 5 hours. Find x and y
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
x km at 8 km/hr and y km at 20 km/hr . His total time is 3.5 hours.
          RATE          TIME         DISTANCE
SLOW       8                          x
FAST       20                         y
Total                   3.5


Fill the missing cells and see what might be done if anything from that.
          RATE          TIME         DISTANCE
SLOW       8                          x
FAST       20                         y
Total                   3.5

The obvious equation is .
-
Simplify this equation.





The "total" time taken to the cycle (2x+4) km at 8 km/hr and y/3 km at 20 km/hr is 5 hours.
That is saying 5 hours is "total time"; and then ..... this is a different description, going like this:
?          8                         2x+4
?         20                          y/3
total                  5

to be filled this way:
         RATE        TIME                 DISTANCE
?          8                      2x+4
?         20                      
total                  5

The only obvious equation for this part of the description is

simplifiable to







The two equations found as a system are this one:

Solve this system.
-
(This would give x=16.)



---
scratch work
2*2*2, 2*2*3*5
2*2*2*3*5 LCD

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