# distance problem

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A car travels 20 km/h faster than a truck. The car covers 360 km in 3 hours less time than the truck.Find the speed of the truck.
(kindly write the solution, thanks alot)

• distance problem -

vc = vt + 20
tc = tt - 3

360 = vc tc = (vt+20)(tt-3)
360 = vt tt so tt = 360/vt

360 = (vt+20)(360/vt - 3)

360 vt = (vt+20)(-3 vt +360)
360 vt = -3 vt^2 -60 vt + 360 vt + 7200

3 vt^2 + 60 vt -7200 = 0
vt^2 + 20 vt - 2400 = 0
(vt+60)(vt-40) = 0
vt = 40

• distance problem -

sir what do you mean by vt and tt, vc and tc... tnx....

• distance problem -

yeah

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