Question

If a person bikes 1.5 mi in 10 minutes how far can they bike in 1.5 hours .

Answer 1

Answer: He can bike 13.5miles in 1.5 hours

`\begin{gathered} It\text{ takes a person to bike 1.5 miles in 10 mins} \\ \text{Firstly, convert the minutes to hour} \\ \text{if 60 minutes makes an hour, then how many hours can we get in 10 mins} \\ 60\text{ mins ------ 1 hour} \\ 10\text{ mins ------- x hour} \\ \text{Cross multiply} \\ 60\cdot\text{ x = 10 x 1} \\ 60x\text{ = 10} \\ \text{Divide both sides by 60} \\ x\text{ =}(10)/(60) \\ x\text{ = }(1)/(6)\text{ hour} \\ \text{This means that 10mins = }(1)/(6)\text{hour} \\ \text{The miles he will bike in 1.5hours can be calculated as } \\ 1.5\text{ miles ---------- 0.16666 hour} \\ x\text{ miles }----------\text{ 1.5 hours} \\ \text{Cross multiply} \\ x\cdot\text{ 0.1666 = 1.5 x 1.5} \\ 0.1666x\text{ = 2.25} \\ \text{Divide both sides by 0.16666} \\ x\text{ =}(2.25)/(0.1666) \\ x\text{ = 13.50miles} \\ \end{gathered}`

He can bike 13.5 miles in 1.5 hours