Here is the step-by-step solution to the problem.
Step 1: Calculate the total distance (Part a)
To find the total distance, we need to add up the kilometers for each part of the trip listed in the problem:
* Windsor to Toronto: $370 \text{ km}$
* Toronto to Kingston: $260 \text{ km}$
* Kingston to Montreal: $290 \text{ km}$
* Montreal to Trois-Rivieres: $181 \text{ km}$
* Trois-Rivieres to Quebec City: $169 \text{ km}$
Calculation:
$$370 + 260 + 290 + 181 + 169 = 1270$$
The total distance is
$1270 \text{ km}$.
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Step 2: Calculate the travel time (Part b)
We know the total distance is $1270 \text{ km}$ and the speed is $110 \text{ km/h}$. To find the time, we divide the distance by the speed.
Calculation:
$$1270 \div 110 = 11.5454... \text{ hours}$$
This gives us $11$ full hours. Now we need to figure out how many minutes are in the remaining $0.5454...$ hours. We do this by multiplying the decimal part by $60$ (since there are $60$ minutes in an hour).
$$0.5454... \times 60 \approx 32.7 \text{ minutes}$$
Rounding to the nearest whole number, that is about
$33$ minutes.
So, the total time is approximately
$11$ hours and $33$ minutes.
*(Note: If you use simple estimation like $1270 \div 110 \approx 11.5$ hours, you would get $11$ hours and $30$ minutes. Both answers are usually accepted in open-response questions, but $11$ hours and $33$ minutes is more precise.)*
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Step 3: Determine the arrival time (Part c)
The family left at
8:00 a.m. We need to add the travel time ($11$ hours and $33$ minutes) to this start time.
1. Add the hours: $8:00 \text{ a.m.} + 11 \text{ hours} = 7:00 \text{ p.m.}$
2. Add the minutes: $7:00 \text{ p.m.} + 33 \text{ minutes} = 7:33 \text{ p.m.}$
They arrived at approximately
7:33 p.m.
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Final Answer:
a. They travelled
1270 km.
b. It took them
11 hours and 33 minutes to get there.
c. They arrived at approximately
7:33 p.m.
Parent Tip: Review the logic above to help your child master the concept of eqao practice worksheet.
