57.1 seconds = 57.1 seconds *
= 0.01057 hour
1 mile / 57.1 seconds = 1 mile / 0.01057 hour = 94.57 miles/hour
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Answer:
2x-y=-1
Step-by-step explanation:
y + 9 = 2(x + 5)
y + 9 = 2x + 10 [distribute]
y = 2x + 1 [subtract 9 from both sides]
y - 2x = 1 [subtract 2x from both sides]
-2x + y = 1 [put x first]
2x - y = -1 [multiply by -1 to make x coefficient positive]
Answer: it will take a combined rate of 2.67 hours
Step-by-step explanation:
Father can do the job on the farm in 6 hours. This means that the father's unit rate of working will be 1/6
The older son can do it in 8 hours. This means that the older son's rate of working will be 1/8
The younger son can do same job in 12 hours. This means that the younger son's working rate is 1/12
When they work together, they will be working simultaneously. It means that their unit rates are additive. The combined unit rates will be
1/6 + 1/8 + 1/12 = (20 + 15 + 10)/120
45/120
Assuming it takes t hours for them to complete the work while doing it together. Their combined unit rate will be 1/t
45/120 = 1/t
45t = 120
t = 120/45 = 2.67 hours
