Nicholas's sand castle is 30 cm tall and he is adding sand at a rate of 12 cm per minute. Nina's sand castle is 78 cm tall and s he is adding more sand to it at a rate of 6 cm per minute. After how many minutes, x, will Nina and Nicholas's sand castles be the same height?
1 answer:
Answer:
8 minutes
Step-by-step explanation:
Speed or Rate = Distance / time
Distance = Speed × time
Nicholas's sand castle is 30 cm tall and he is adding sand at a rate of 12 cm per minute.
Nicholas = Nina
30cm + (12cm/min)x
= 30 + 12x
Nina's sand castle is 78 cm tall and she is adding more sand to it at a rate of 6 cm per minute.
78cm + (6cm/min)x
78 + 6x
30 + 12x = 78 + 6x
12x - 6x = 78 - 30
6x = 48
x = 48/6
x = 8 minutes
Therefore, after 8 minutes, Nina and Nicholas's sand castles be the same height.
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