Patrick D. answered • 04/26/17

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Patrick the Math Doctor

Distance = Rate x Time --> Time = Distance/Rate where time is in hours

Home to bus top: .75/3.6 = 75/360 <-- multiplies top and bottom by 100 to clear the decimals.

= 5/24 <--- reduces by 15

**( or 12 minutes and 30 seconds)**

bus to work: 3.8/15 = 38/150 = 19/75

**( or 15 minutes and 12 seconds)** 5/24 + 19/75 <--- common denominator of 600

125/600 + 152/600 =

277/600 = .461666666.... = 27 minutes and 42 seconds

Notice that this agrees with the total of the times highlighted in bold.