Mrs Siti drove at a constant speed of 84 km/h. She completed 2/3 of her journey in 10 minutes. Find the distance for the whole journey.
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enswer
distance = speed x time
she completed 2/3 of the journey = 10 min
so she have 1/3 remain of the journey left to complete
2/3d = 84 x 10 / 60
2/3d = 14
d = 21
the distance for the whole journey = 21 km
times for 2/3 of her journey= 10 minutes
t= times for the whole journey
s= distance
v= speed
[tex]t = \frac{10 \times 3}{2} = \frac{30}{2} = 15 \: minutes \\ \\ 15minutes = \frac{15}{60} hours \: = \frac{1}{4} hours = 0.25hours \\ \\ s = v \times t = 84 \times 0.25 = 21km[/tex]
in conclusion, the distance for the whole journey is 21 km