SOLUTION: Can you please help with the homework. 1. A man travels 180km from his farm to town in a loaded truck.on the return journey he is able to travel 30km/h faster having unloaded his

Question 1182475: Can you please help with the homework.
1. A man travels 180km from his farm to town in a loaded truck.on the return journey he is able to travel 30km/h faster having unloaded his produce in town.He saves one hour on the return journey by travelling faster.
1.1.1.calculate the speed of the truck to town
1.1.2. Calculate the speed of the truck from town.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
speed of truck from town to farm be x km/h
his speed from farm to town will be (x-30)
distance from farm to town =180 km
he takes more time to town
time to town - time to farm = 1 hr

take LCM of denominator
180x - 180(x-30)/ x(x-30) = 1
180x -180x +180*30 = x(x-30)
5400= x^2-30x
x^2-30x-5400=0
Factorise
(x - 90)(x + 60)=0
x=90 or -60
Ignore negative
speed from town = 90 km/h

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