The truck

The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car was traveling at a speed 15km/h higher than the way back. Find the total length of the journey of the truck to the warehouse and back.

Correct result:

a =  60 km/h
s =  180 km

Solution:

 b=a−a/4 a=15+b=60 km/h  3a−4b=0 a−b=15  a=60 b=45a=60 \ \\ b=a - a/4 \ \\ a=15 + b=60 \ \text{km/h} \ \\ \ \\ 3a-4b=0 \ \\ a-b=15 \ \\ \ \\ a=60 \ \\ b=45a=60

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