A car and a bike set off from Town B in opposite directions at 09 30. The car travelled towards Town A at a constant speed of 80 km/h while the bike travelled towards Town C at a constant speed of 62 km/h. When the car reached Town A at 12 30, the bike was still 28 km away from Town C.

  1. (a)

    How far did the car travel?

    Ans: ___

  2. (b)

    What was the distance between Town A and Town C?

    Ans: ___

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Worked solution

10(a)

1. Calculate the time taken by the car to travel from Town B to Town A

Time taken = 12 30−09 30=312\ 30 - 09\ 30 = 3 hours

2. Calculate the distance travelled by the car

Distance = Speed ×\times Time = 80×3=24080 \times 3 = 240 km

Answer

240240 km

10(b)

1. Calculate the distance the bike travelled in 3 hours

Time taken from 09 30 to 12 30 is 33 hours.
Distance travelled by bike =62×3=186= 62 \times 3 = 186 km

2. Calculate the total distance between Town A and Town C

Distance from Town A to Town B =80×3=240= 80 \times 3 = 240 km (from part a)
Distance from Town B to Town C =186+28=214= 186 + 28 = 214 km
Total distance between Town A and Town C =240+214=454= 240 + 214 = 454 km

Answer

454454 km

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