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Phoenix [80]
3 years ago
11

Laura left Dunkin Donuts at 1 PM traveling 30 mph. Two hours later her friend Jen left the same Dunkin Donuts and started after

her on the same route traveling 45 mph. At what time will Jen catch up to Laura?
Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Answer:

It took Jen 4 hours to catch up with Laura

Step-by-step explanation:

Gaining speed 45-30= 15 mph

Laura's head start 30×2=60 miles

Time for Jen to catch up 60÷15= 4 hours

In other words

30(t+2)= 45t

30t+60= 45t

60=45t-30t

60= 15t

t=4 hours

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GaryK [48]

Answer:

Distance between A and B is 5400 meters

Step-by-step explanation:

Consider "D" the letter to identify distance between A and B

Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:

Recall that distance equals the speed  times the time:

distance= speed * time

First encounter:

100 * t = D - 80 * t

180 * t = D    Equation (1)

Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .

Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:

100 *(t+6) = D - 75 * (t+6)

100 t + 600 = D - 75 t - 450

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Now, let's equal equation (1) to equation (2), since D should be the same:

180 t = 175 t + 150

5 t = 150

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Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:

From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters

5 0
3 years ago
In Example 5, Norfolk recorded a new record low last night. The new record low is greater than the record low in Lynchburg. What
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Answer:

Here is something you can study.

Step-by-step explanation:

7 0
3 years ago
The mathematics department sponsors Math Family Fun Night every year.  In the first year, there were 35 participants.  In the th
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1,35     3,57

 

slope = (57 - 35)/(3 - 1) = 11

 

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The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.
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Answer:

x = 26

Step-by-step explanation:

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