Let the average speed of the truck be x km/hr.
Then,new average speed of trcuk=(x+20) km/hr.
Time taken by truck to cover 150 km=150x hrs.
and time taken by truck to cover 200 km=200x+20 hrs.
∴ 150x+200x+20=5
150(x+20)+200xx(x+20)=5
150x+3000x+200x=5x(x+20)
350x+3000=5x2+100x
5x2−250x−3000=0
x2−50x−600=0
x2−60x+10x−600=0
x(x-60)+10(x-60)=0
(x+10)(x-60)=0
x=-10 or 60
Since speed cannot be negative.
So, x=60
∴ First speed of truck=60 km\hr.