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aniked [119]
3 years ago
14

At 1:30 p.m., Tom leaves in his boat from a dock and heads south. He travels at a rate of 25 miles per hour. Ten minutes later,

Mary leaves the same dock in her speedboat and heads after Tom. If she travels at a rate of 30 miles per hour, when will she catch up with Tom
Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer: she would catch up with Tom in 1 hour.

Step-by-step explanation:

Let t represent the time it will take for Mary to catch up with Tom.

Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.

Distance = speed × time

Distance travelled by Tom in t hours is

25 × t = 25t

Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour

Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in

(t - 10/60) hours is

30(t - 10/60)

= 30t - 5

By the time she catches up with Tom, they would have covered the same distance. It means that

25t = 30t - 5

30t - 25t = 5

5t = 5

t = 5/5 = 1 hour

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4 0
3 years ago
A cellular phone company charges $25 per month plus 10 per minute of phone use. If a person's bill came to $38.10 for one month,
Murljashka [212]

The required number of minutes a person used the phone is 131 minutes.

Given that,
A cellular phone company charges $25 per month plus 10 per minute of phone use. A person's bill came to $38.10 for one month,

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let x be the number of minutes he used the phone,
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What is 2 times 3/8? explain how you know
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You deposit $2700 in an account that earns simple interest. After 12 months, the account earns $64.80 in interest, what is the a
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Explanation:

STEP 1: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this examplee P = $2700, i = 64.8% and t = 1 years, so

 

STEP 2: Find an amount by using the formula .A =P+I

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