Asanji left the science museum and drove toward the lake at an average speed of 45 km/h. Sometime later Huong left driving in the same direction but at an average speed of 75 km/h. After driving for three hours Huong caught up with Asanji. How long did Asanji drive before Huong caught up?

Asanji drove for hours before Huong caught up

Step-by-step explanation:

Let the time for which Asanji drove alone is "X" hours

Asanji and Huong met after three hours of driving of Huong.

Total time for which Asanji drove hours

Thus, distance travelled by Asanji in hours is equal to distance travelled by Huong in hours

On solving the above equation, we get -

Asanji drove for hours before Huong caught up

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: