Mathematics, 04.08.2019 03:50 rachelsweeney10

15 ! : my friend sets out walking at a speed of 3 miles per hour. i set out behind her 5 minutes later at 4 miles per hour. for how many minutes will my friend have been walking when i catch up to her?

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Answer from: saby30

The relative speed between you two is 1 mile per hour (4-3). After five minutes your friend will have covered a distance of 3× 5/60 = 0.25 miles ( from the formula distance= speed ×time).
The distance between the two of you by the time you are starting the journey is 0.25 miles.
The time taken before you catch up with your friend will be;
0.25 miles/ 1 mile/hr = 0.25 hours ( distance/relative speed) equivalent to 15 minutes. Therefore, your friend will have walked for 15+5 = 20 minutes before catching up with him/her

Answer from: reaunnatowns

The total distance covered is equal to the product of speed and time. The distances that should have been traveled by the two friends in this item should be equal. Let x be the total time that the first among them have walked. The time of the second person should be x - 5/60.

The equation that would best represent their motion is,

3(x) = 4(x - 5/60)

The value of x from the equation is equal to 0.33 hours which is equal to 20 minutes.

20 minutes

Answer from: Quest

250

step-by-step explanation:

Answer from: Quest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

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