Terrance and jesse are training for a long distance race. terrance trains at a rate of 6 miles every half hour, and jesse trains a t a rate of 2 miles every 15 min.
how long will each person take to run a total 50 miles at the given rates?
given rates: t=12 miles every hour
j =8 miles every hour

The time taken by Terrance and Jesse to cover 50 miles are 4 hours 10 min 6 and hours 15 min respectively.

Step-by-step explanation:

The formula for speed:

It is given that the terrance trains at a rate of 6 miles every half hour, and Jesse trains a t a rate of 2 miles every 15 min.

Speed of Terrance:

Speed of Terrance is 12 miles every hour.

Speed of Jesse:

Speed of Jesse is 8 miles every hour.

We need to find the time taken by Terrance and Jesse to cover 50 miles.

Time taken by Terrance is

4 hours +1/6 hours = 4 hours 10 min

Therefore, the time taken by Terrance is 4 hours 10 min.

Time taken by Jesse is

6 hours +1/4 hours = 6 hours 15 min

Therefore, the time taken by Jesse is 6 hours 15 min.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.