Question

Jason enters six races: biking, canoeing, horseback riding, ice skating, running, and swimming. He places between first and fifth in each. Two places are consecutive only if the place numbers are consecutive. Jason's places in canoeing and running are consecutive. His places in ice skating and swimming are consecutive. He places higher in biking than in horseback riding. He places higher in canoeing than in running.

1. If Jason places higher in running than in biking and places higher in biking than in ice skating and swimming, which one of the following allows all six of his race rankings to be determined?

a. He places fourth in horseback riding.
b. He places fourth in ice skating.
c. He places the same in both horseback riding and ice skating.
d. He places the same in both horseback riding and swimming.
e. He places higher in horseback riding than in swimming.

If Jason places higher in running than in biking and places higher in horseback riding than in ice skating, exactly how many of his rankings can be determined?

a. 2
b. 3
c. 4
d. 5
e. 6

Answer 1

Answer:

1) e: He places higher in horseback riding than in swimming.

2) e: 6

Step-by-step explanation:

1)If Jason places higher in running than in biking and places higher in biking than in ice skating and swimming, which one of the following allows all six of his race rankings to be determined?

We are told in the question that:

Two places are consecutive only if the place numbers are consecutive.

Therefore, Option e. He places higher in horseback riding than in swimming. Is that one that allows all his race rankings to be determined is correct

2)If Jason places higher in running than in biking and places higher in horseback riding than in ice skating, exactly how many of his rankings can be determined?

From the above comprehension, we are told that Jason entered six races: which are as follows: biking, canoeing, horseback riding, ice skating, running, and swimming.

Therefore, since he entered 6 races, each races would have a ranking of their own. Hence, the number of his rankings that can be determined is 6.

Option e is correct.

Answer 2

1. e: He places higher in horseback riding than in swimming

2. e: 6

We're given:

1. canoeing and running are consecutive (which means they cannot be separated with other middle number and that they do not overlap).
2. ice skating and swimming are consecutive
3.  rank in biking is higher than in horseback riding (which means they cannot be overlapped but can be separated by middle ranks).
4. rank in canoeing > rank in running

First question gives:

1. running rank > biking rank
2. biking rank > ice skating rank

This situation if mixed with point  e :

Horseback riding rank > rank in swimming

Then this is what we get:

Canoeing = 1st position

Running = 2nd position

biking = 3rd position

Ice Skating = Horseback riding  = 4th rank (overlapped since overall he can only have all 6 ranks from first to fifth)

Swimming = 5th rank

Thus option e allows all six of his races rankings to be determined.

Second condition gives:

    1. Rank in running > rank in biking

    2. Rank in Horseback riding > rank in swimming

This implies that

    canoeing rank > running rank > biking rank > horseback riding > swimming

And since ranks cannot go outside from first to fifth position and since ice skating is consequent to swimming thus we have:

canoeing rank = 1

running rank = 2

biking rank = 3

horseback riding rank  = ice skating ranking= 4

swimming rank = 5

Thus option e is correct as all the six rankings are determined.

For more information, refer this link below:

https://brainly.com/question/7031820