A car traveled from Town A to Town B. The car traveled the first of th

i am getting 3xz / (8x - 5z).

Can somebody explain ?

i am too getting same answer. Please someone explain

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Fixed the typo. Thank you!
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Average Speed of the Entire Journey = (Total Distance Traveled) / (Total Time of the Journey)

becomes:

Total Time of the Journey = (Total Distance Traveled) / (Average Speed of the Entire Journey)


Let the Total Distance = D

and we are Given that the Average Speed = Z

then:

Total Time of the Journey = D/Z = (Time 1) + (Time 2) ---- (eq I)


where Time 1 and Time 2 = the Time to complete each part of the journey

and Time = (Distance covered) / (Speed)


Part 1 of Journey:

Travels 3/8th of the Distance at a Speed of X

Time 1 = (3/8)*D ---- Divided by Speed of X -----> (3D) / (8X)


Part 2 of Journey:

Travels the Remaining Distance (5/8th of the Distance) at a Speed of Y

Time 2 = (5D) / (8Y)


Plug each Time into (eq I)

Time to complete Journey = (Time 1) + Time 2)

(D/Z) = (3D / 8X) + (5D / 8Y)


---Cancel the Variable D in the NUM of each Term and then Isolate the Term with Variable Y in the DEN--


(1/Z) - (3 / 8X) = (5 / 8Y)


----Combine the Terms on the left hand side of the Equation----

(8X - 3Z) / (8XZ) = (5 / 8Y) = (5/8) * (1/Y)


----Multiply both Sides of the equation by (8/5) ---- the 8 will cancel with the 8 in the DEN on the left hand side----

(8X - 3Z) / (5XZ) = (1/Y)

----now take the Reciprocal of both sides of the Equation----

(5XZ) / (8X - 3Z) = Y


Answer:

(5XZ) / (8X - 3Z)

E