A race car driver is racing at 20th km. If his speed never exceeds 15

1.	A race car driver is racing at 20th km. If his speed never exceeds 150 km/hr, what is the maximum distance he can cover in the next two hours.
Answer» By langrange's mean volume theorem, f(c) = (f(b) - f(a))/(b - a) Here the interval is [0, 2] and f(0) = 20, f(2) = ? f(b) – f(a) ≤ (b – a)f’c here f(a) = 20 ⇒ f(b) – 20 ≤ 150(2 – 0) ⇒ f(b) ≤ 320 (i.e) f(2) = 320 km.

A race car driver is racing at 20th km. If his speed never exceeds 150 km/hr, what is the maximum distance he can cover in the next two hours.

Answer»

By langrange's mean volume theorem, f(c) = (f(b) - f(a))/(b - a)

Here the interval is [0, 2] and f(0) = 20, f(2) = ?

f(b) – f(a) ≤ (b – a)f’c

here f(a) = 20

⇒ f(b) – 20 ≤ 150(2 – 0)

⇒ f(b) ≤ 320

(i.e) f(2) = 320 km.