Question

A car covers a distance of ${60}^k$ metres in an hour. Calculate the speed of the car in m/sec.

• A. ${60}^k$
• B. ${60}^{k-2}$
• C. ${60}^{k+2}$
• D. None of the above

Answer 1

The correct option is B

${60}^{k-2}$

$Speed=\frac{Distancetravelled}{Time}$

1 hour = 3600 seconds

$\text{Speed of the car =}\frac{{60}^k}{3600}$

$3600={60}^2$

$\text{We know that}\frac{a^m}{a^n}=a^{m-n}$
(a is a non-zero integer)

$\therefore \text{Speed =}{60}^{k-2}\text{m/sec}$