Q:

Patrick travels from A to B at an average speed of 8km/h and then he travels from B to C at an average speed of 6 km/h.It is given that Patrick travels 26.4 km in 234 minutes for the whole journey.Find the distance that Patrick travels from A to B.​

Accepted Solution

A:
Answer:12 kmStep-by-step explanation:So the situation is:8 km/h for X hours6 km/h for y hoursX * 8 + y * 6 = 26.4and X + Y = 3.9 hoursSince 234/60 = 3.9 hoursYou could write that X = 3.9 - Y(3.9-Y) * 8 + y * 6 = 26.431.2 -8Y +6Y = 26.4-2Y = -4.8Y = 2.4 hoursX = 3.9-2.4 = 1.5 hoursSo 1.5 * 8 = 12 km