Question

Superman flies at a speed of $2.6\times {10}^7$ m/s . If the speed of a jet is 130000 m/s, then Superman's speed is times the speed of the jet.

• A. 200
• B. 2000
• C. 240
• D. 2400

Answer 1

The correct option is A 200

$\frac{\text{Speed of Superman}}{\text{Speed of jet}}=\frac{2.6\times {10}^7}{130000}$
$=\frac{2.6\times {10}^7}{1.3\times {10}^5}$
$=\frac{2.6}{1.3}\times {10}^2$
$=2\times {10}^2=200$
(Using $\because \frac{a^m}{a^n}=a^{m-n}$)
Thus, the speed of Superman is 200 times that of the jet.