(a) Megan and Rhodri both set out at the same time from home to go to the swimming pool. Rhodri travels by car. Megan cycles straight through the park.
Diagram not drawn to scale
Rhodri’s journey by car is 5·5 miles. His average speed for the journey is 22 mph.
Megan’s average speed on her bike is 12 mph. Megan arrives at the swimming pool 5 minutes before Rhodri.
Calculate the distance Megan cycles. Give your answer in miles. You must show all your working. [5]
Distance Megan cycles is …………………… miles
(b) Gary travelled a distance of 231 km in 3 hours and 30 minutes. Calculate Gary’s average speed in km/h. Circle your answer. [1]
0·015 1·1 66 70 77
Mark scheme (a)
Scheme
Marks
Comments
(Rhodri’s time is) 5.5/22 = 0.25 (hours) or 15 mins
M1 A1
Use of 0.25 hours as 25 minutes is A0 otherwise if not used, ignore incorrect conversion to minutes
Megan’s time is 0.25 (hrs) – 5 mins (10 minutes or \(\frac{1}{6}\) hour or 0.166…hour)
M1
For the idea, irrespective of inconsistent units FT 'their 0.25 hours' or 'their 15 minutes', including use of 0.25 hours, e.g. as 25 minutes
(Megan’s route is) 12 × 10 (÷ 60)
M1
FT ‘their time used', written in hours or minutes provided at least M1 previously awarded
= 2 (miles)
A1
CAO No marks for an unsupported answer of 2 (miles)
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