Answer: Running speed is 10k/h
Biking speed is 50k/h
Step-by-step explanation:
My procedure may be unconventional, but it works:
Compute the time it takes, then translate to speed. 25k at biking speed takes 2 hours less than at running speed which is 1/5 bike speed.
Distance/speed = time 25/x=25/(5x-2) cross multiply divisors
25(5x-2) = 25x ==> 125x -50 =25x ==> 100x = 50
x = 0.5 hours at biking speed 25k/0.5h = 50k/h
Running speed = 50/5 10k/h
Proof: 25k/ 10k/h = 2.5 hours
25k /50k/h = 0.5 hours
2.5 h - .5 h = 2 hours, the difference stated in the question.
In 8 weeks he will have 11
in 9 weeks he will have 8
so the answer is 9 weeks
Answer:
Jose will need 39.25 square inches of paper to wrap the stack of coins
Explanation:
The resulting figure of a stack of 100 coins will be a right circular cylinder. We assume that Jose wraps around the cylinder (so it means not including the bases). Therefore we are solving for the lateral surface area of the cylinder: LSA = 2πrh.
To solve for height h, we multiply the thickness of the coin 100 times.
h = 100 * 1/8 in = 12.5 inches
Solving for radius r:
r = 1 inch/2 = 0.5 inches
LSA = 2(3.14)(0.5 in)(12.5 in) = 39.25 square inches
