Question

Kevin drove his scooter 62 km in 2 h. How do you find how far he drives if he drives at the same rate of 3 hr?

Answer 1

`93\text( km)` driven

Explanation:

information given

• 62 km driven in 2 h
• driving same rate in 3 h

application
If Kevin drives 62 km in 2 h, then `(62\text(km))/(2\text(h))=(31\text(km))/\text(h)` is his rate.

calculation

• apply dimensional analysis with conversion factor `(31\text(km))/(1\text(h))`
  `3h\times(31\text( km))/(1\text( h))`
• numerator's and denominator's units cancel out
  `3\cancel(\text(h))\times(31\text(km))/(1\cancel(\text(h)))`
• multiply results
  `(3\times31\text(km))/1=(93\text(km))/1=93\text(km)` driven