A person takes a trip, driving with a constant speed of 93.0 km/h except for a 22.0-min rest stop. The person's average speed is 64.5 km/h. (a) How much time is spent on the trip? (b) How far does the person travel? Step 1

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A person takes a trip, driving with a constant speed of 93.0 km/h except for a 22.0-min rest stop. The person's average speed is 64.5 km/h.
(a) How much time is spent on the trip?
(b) How far does the person travel?
Step 1
(a) Let t₁ be the time the motorist travels at the constant speed of V₁ = 93.0 km/h. Since the person is not traveling during the rest stop, the total displacement for the entire trip is
Ax total = V₁t₁.
The time for the entire trip Attotal is equal to the time t₁ that the motorist travels at a constant speed plus the time to spent at the rest stop. We have
Attotal = t₁ + t₂.
The total displacement Axtotal is equal to the average speed of the trip v = 64.5 km/h multiplied by the total time of the trip. We have
Ax total = V Attotal = V (t₁ + t₂).
Substituting our first expression in terms of v₁
V₁t₁ = V(t₁ + t₂).
Now we can solve this equation for t₁. We need to convert the given time spent at the rest stop from minutes to hours for t₂, and thus we have
vt₂
(v₁-v)
t₁
Submit
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Transcribed Image Text:A person takes a trip, driving with a constant speed of 93.0 km/h except for a 22.0-min rest stop. The person's average speed is 64.5 km/h. (a) How much time is spent on the trip? (b) How far does the person travel? Step 1 (a) Let t₁ be the time the motorist travels at the constant speed of V₁ = 93.0 km/h. Since the person is not traveling during the rest stop, the total displacement for the entire trip is Ax total = V₁t₁. The time for the entire trip Attotal is equal to the time t₁ that the motorist travels at a constant speed plus the time to spent at the rest stop. We have Attotal = t₁ + t₂. The total displacement Axtotal is equal to the average speed of the trip v = 64.5 km/h multiplied by the total time of the trip. We have Ax total = V Attotal = V (t₁ + t₂). Substituting our first expression in terms of v₁ V₁t₁ = V(t₁ + t₂). Now we can solve this equation for t₁. We need to convert the given time spent at the rest stop from minutes to hours for t₂, and thus we have vt₂ (v₁-v) t₁ Submit = || = 1 km/h in) [( h. Skip (you cannot come back) 1 for AX total gives km/h) 4 n) (² min 1 h in)] 60 min G Search or type URL % 5 6 & 7 8 CO o
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