Question

Kelly’s smart phone has a battery life of 10⅙ hours. She buys a new phone with a battery life that is 1½ times longer than her current phone. How many hours of battery life does her new phone have?

Answer 1

• Let the old phone be x = 10 1/6 hours

• The new phone is said to be 1 and 1/2 times longer .

so;

10 +1/6 hours is the same 10 hours 9 minutes and 6 seconds

1/6 * 60 minutes = 9.6 = 9 minutes and 6 seconds* 1 + 1/2 = 15 1/4

• This means that the new smart phone will take 15 hours and a quarter minute , which is 15 hours and 15 seconds

`\begin{gathered} 10\frac{1}{6\text{ }}\cdot\text{ 1}(1)/(2) \\ \Rightarrow(61)/(6)\cdot\text{ }(3)/(2) \\ \Rightarrow\frac{61\cdot3}{6\cdot2\text{ }} \\ \Rightarrow\frac{61\cdot\text{ 3 }}{3\cdot2\cdot2}\ldots\text{.. ( the 3 cancels each other ) } \\ \Rightarrow\frac{61\text{ }}{4}\ldots(convert\text{ to improper fraction)} \\ \Rightarrow15\text{ }(1)/(4) \end{gathered}`