Question

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?

Answer 1

Answer:

Asanji drove for $5$ 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 $= X+3$ hours

Thus, distance travelled by Asanji in $X+3$ hours is equal to distance travelled by Huong in $3$ hours

$45 ( X+3) = 75 (3)$

On solving the above equation, we get -

$45 X + (45 *3) = 75 *3\\45 X = (75-45)*3\\45 X = 30 *3 \\X = \frac{30 *3}{45} \\X = 2$

Asanji drove for $3 + 2 = 5$ hours before Huong caught up