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Answer:
- 3.9 hours
- 90 mph
Step-by-step explanation:
<h3>1.</h3>
The sum of the rates of painting, in fences per hour, is ...
1/9 + 1/7 = (9+7)/63 . . . . fences per hour
The total rate in hours per fence is the inverse of that:
63/16 = 3 15/16 ≈ 3.9 . . . hours to paint the fence
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<h3>2.</h3>
The relevant relationship is ...
distance = speed × time
Let t represent Tom's speed in miles per hour. Then George's speed is (t-36). They both have traveled the same total distance at the point where Tom catches up.
(2+3)(t-36) = 3t
2t = 180 . . . . . . . add 180-3t
t = 90 . . . . . . divide by 2
Tom's average speed is 90 miles per hour.
<u><em>Answer:</em></u>
A member is expected to pay $28 per month after the initial month
<u><em>Explanation:</em></u>
<u>We are given that:</u>
The total cost per year (12 months) is $362
The member is required to pay $54 during the first month
<u>This means that:</u>
Remaining cost = Total cost - Payment made the first month
Remaining cost = 362 - 54 =$308
<u>We know that</u> the member will pay this remaining cost in a duration of 11 months (we exclude the first month of the year since he already paid $54 in it)
<u>We also know that</u> payments in each of these 11 months will be equal
<u>This means that:</u>
Payment per month = dollars
Hope this helps :)