Ann, Bill and Colin are travelling in a car from Glasgow to Poole.
Ann, Bill and Colin share the driving so that the distances they drive are in the ratio 3:4:4. Ann drives a distance of 210 km.
a) Calculate the total distance they travelled from Glasgow to Poole.
b) Ann drives the 210 km in 2 hours 40 minutes. Work out Ann’s average speed.
(3 marks)
c) Colin’s case weighs 7 kg correct to the nearest kg.
i) Write down the upper bound of the weight of Colin’s case.
ii) Write down the lower bound of the weight of Colin’s case.
(3 marks)
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Answers & Comments
Verified answer
If their ratios were 3:4:4 then there were a total of 3+4+4 = 11 parts of the trip. Ann drove 3/11 of the distance. (3/11)D = 210 km. That should allow you to work out a.
40 minutes = 40/60 hours = 2/3 hour. Ann drove 210 km in 2 2/3 hours.
Average speed = Distance / Time
c) To the nearest kg means that the weight cannot be more than half a kg less and must be less than half a kg more.