MATHEMATICS HIGH SCHOOL

A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping gear, sets out by car. How fast must the father drive to overtake the boy in 15 minutes?

Answers

Answer 1

Answer:

Speed of father is 40 mph

Given that;

Speed of boy on bicycle = 8 mph

Total time taken by father = 15 min = 0.25 hour

Find:

Speed of father

Computation:

Distance = Speed × Time

So,

Boy's cover distance = Father's cover distance

[(Speed of boy on bicycle)(Time taken by boy)] = [(Speed of father)(Time taken by father)]

[(8)(1 + 0.25)] = [(Speed of father)(0.25)]

[(8)(1.25)] = [(Speed of father)(0.25)]

Speed of father = 10 / 0.25

Speed of father = 40 mph

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Answer 2

Answer: 1st equation to find out how far boy will have traveled in 1hr 15 minutes:

8/1=x/1.25 (8 miles over 1 hour = x miles over 1.25 hours)
8(1.25) = 1(x)
10 = x

Now, divide 10 by .25 (15 minutes aka 1/4 hour) to get the speed father will have to drive.

10/.25 = x/1

x = 40 MPH

Related Questions

What is the slope of
18x-15y=20?

Answers

18x-15y-20=0
slope equals -18/-15 =6 over 5

Factor the trinomial in to 2 sets of parentheses
12a squared minus 13a minus 35

Answers

it can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

What is y=3x+6 y=4x i need some help on it

Answers

Answer:

I don't fully understand, but if it is a true or false question it is false

Step-by-step explanation:

If y=4x 3x+6=9

4<9

So, in all it would be false.

9. Find the diagonal of a square with perimeter 28 meters.

Answers

Answer:

diagonal of square = d = 9.899

Step-by-step explanation:

let side of square = x

diagonal of square = d

perimeter = P = 28

4 * x = P

x = 28/7

x = 7

By using Pythagorean theorem we get

x^2 + x^2 = d^2

7^2 + 7^2 = d^2

d^2 = 98

d = sqrt(98)

diagonal of square = d = 9.899

If you were to roll the dice one time what is the probability it will NOT land on a 2? Put your answer in fraction form.

Answers

The probability that it will not land on a 2 is 5/6

Probability is the likelihood or chance that an event will occur.

It will land on 2, Prob (land on 2) = 1/6

It will not land on 2, the probability will be given as:

Prob (not land on a 2) = 1 - 1/6

Prob (not land on a 2) = 5/6

Hence the probability that it will not land on a 2 is 5/6

Learn more on Probability here: brainly.com/question/25870256

Answer:

5/6

Step-by-step explanation:

On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).

Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.

I hope this helps.

Jayla ran the first 3 miles of a 5-mile race in hour. What was her average rate, in miles per hour, for this first part of the race?.