Dani E.
asked • 08/29/22Help me solve this problem!!
A man on a road trip drives a car at different constant speeds over several legs of the trip. He drives for 55.0 min at 75.0 km/h, 17.0 min at 90.0 km/h, and 35.0 min at 45.0 km/h and spends 40.0 min eating lunch and buying gas.
(a) What is the total distance traveled over the entire trip (in km)?
(b) What is the average speed for the entire trip (in km/h)?
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1 Expert Answer
Raymond B. answered • 08/29/22
Tutor
5
(2)
Math, microeconomics or criminal justice
(55/60)75 + (17/60)90 + (35/60)45
= 55(5/4) +17(3/2) + 35(3/4)
=68.75 + 25.5 + 26.25
= 120.5 kilometers = total distance traveled
55+17+35= 107 minutes = 107/60 hours
divide total distance by total hours
average speed = 120.5/(107/60)
= 120.5(60/107) kph = approximately 67.57 kph
= average driving speed, when driving
BUT you might want to include 40 minutes to get 147 minutes = 147/60 hrs
average speed = 120.5/(147/60) = 120.5(60/147) = about 49.18 kph
= average speed including 0 kph for 40 minutes
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Dianne W.
08/29/22