Question

A car covers a distance of ${60}^k$ meters 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 = 60 seconds

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

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

$\therefore$ Speed = ${60}^{k-1}$ m/sec