Question

A motorist travel 160 km in 5 hours. He travels part of the distance at 38 km an hour and the rest at 28 km per hour. Find the distance he travels at each rate. With solution.​

Answer 1

average speed = total distance/ total time

= 160 / 5 = 30 km/ hr

Answer 2

Distance traveled at 38 km /hrs  for  2 Hrs , & Distance traveled at 28 km /hrs  for  3 Hrs

Step-by-step explanation:

Let say motorist travel for x hrs at 38 km/hrs

then motorist will travel 5 - x hrs  at 28 km/Hrs

Distance = Speed * time

=> 38 * x   + 28(5 - x)  =  160

=> 3x - 28x  + 140 = 160

=> 10x = 20

=> x = 2

Distance traveled at 38 km /hrs  for  2 Hrs

& Distance traveled at 28 km /hrs  for  3 Hrs

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