Bill can run the 440 yard dash in 55 seconds, and jack can run it in 88 seconds. how great a handicap must bill give jack for the boys to finish the race at the same time?
a) 165 yards
b) 242 yards
c) 275 yards

Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.

Step-by-step explanation:

1. Let's review the information given to answer the question correctly:

Bill can run 440 yards in 55 seconds

Bill speed = 8 yards per second (440/55)

Jack can run 440 yards in 88 seconds

Jack speed = 5 yards per second (440/88)

2. How great a handicap must Bill give Jack for the boys to finish the race at the same time?

The total duration of the race will be 55 seconds

Using Rule of Three Simple, we have that:

Jack will run 55 * 5

Jack will run 275 yards in 55 seconds

Bill must give Jack a handicap of 440 - 275 yards

Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.

c

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.