Answer:
179 mph
Step-by-step explanation:
Given: Average speed to cover 19 lap is 159 mph
Now, finding the speed of driver in 20th lap to attain 160 mph as an average speed.
Average Speed = [tex]\frac{(average speed \times lap covered) + speed in 20th lap}{Total lap}[/tex]
Considering x as speed in 20th lap.
⇒ 160 = [tex]\frac{(159 \times 19) + x}{20}[/tex]
⇒ 160 = [tex]\frac{3021 + x}{20}[/tex]
Now, multiplying both side by 20.
⇒ 160 [tex]\times 20[/tex] = [tex]\frac{(3021 + x) \times 20}{20}[/tex]
⇒ 3200 = [tex]3021 + x[/tex]
∴ x = 179 mph
179 mph should be the speed of driver in his 20th lap to attain an average speed of 160 mph.
