A person travels by car from one city to another with differentconstant speeds b

Question

A person travels by car from one city to another with differentconstant speeds between pairs of cities. She drives for10.0 min at 95.0 km/h, 13.0 minat 100.0 km/h and 40.0 min at 40.0km/h, and spends 20.0 min eating lunchand buying gas. (a) Determine the average speed for thetrip.
km/h

(b) Determine the distance between the initial and final citiesalong this route.
km (a) Determine the average speed for thetrip.
km/h

(b) Determine the distance between the initial and final citiesalong this route.
km

Explanation / Answer

for 1 st 10 min : --------------- velocity v = 95 km / h time t= 10min = 10 / 60 h distance travelled S = vt                                = 15.8333 km for next 13 min: --------------- velocity v = 100 km / h time t= 13 / 60 h distance travelled S ' = v t                                = 21.666 km next 40 min : ------------- velocity v = 40 km / h time t= 40 / 60 h dustance travellled S " = vt = 26.666 km total distance travelled s = S+ S' + S"                                       =64.1666km total time = 10 min + 13 min + 40 min + eating time            T= 10 + 13 + 40 + 20 = 83 min = 83 / 60 h Average velocity = s / T                           = 46.38 km / h

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