1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scilla [17]
3 years ago
10

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

is 77.8 km/h, (a) how much time is spent on the trip and (b) how far does the person travel?
Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

s = \frac{d}{t}

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that s = 77.8

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for  the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

d = 89.5t1 + 0 = 89.5t1

The total time is the time traveling t and the stoppage time 0.37. So

t = t1 + 0.37

We want to find t1, which is the time that the person was driving.

So

s = \frac{d}{t}

77.8 = \frac{89.5t1}{t1 + 0.37}

77.8t1 + 77.8*0.37 = 89.5t1

11.7t1 = 28.786

t1 = \frac{28.786}{11.7}

t1 = 2.46

The total time is

t = t1 + 0.37 = 2.46 + 0.37 = 2.83

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

s = \frac{d}{t}

77.8 = \frac{d}{2.83}

d = 77.8*2.83 = 220.17

The person travels 220.17 kilometers.

You might be interested in
The perimeter of a triangle is 61 in. The shortest side is 8 in. less than the longest side. The middle side is 19 in. less than
Marianna [84]

Answer:

since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.

so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.

check Add them up it is 51cms  which is the perimeter and the consecutive odd numbers

6 0
3 years ago
Nathan wants to buy a car that costs $25,920 he has $3,000 as a down payment and his payments will be $450 for 6 years through r
sesenic [268]

he payed  3,000 in hand payment then gave checks per...mnth for 6 years to equal the needed amount


3 0
3 years ago
What angle is is letter C?
stiv31 [10]

Answer:

The angle measure for angle c is 138 degrees

8 0
3 years ago
Read 2 more answers
During the two hours of the morning rush from 8 a.m. to 10 a.m., 100 customers per hour arrive at the coffee shop. The coffee sh
Anastaziya [24]

So, 40 Customers are waiting at 10 A.M.

According to statement

Number of customers arrives at coffee shop per hour = 100

Capacity of shop for per minute per customer = 0.8 minute

Capacity of shop for customers per hour = 80

Find number of customers are by

Queue growth rate = Demand - Capacity

Put the values in the formula and find the growth rate

So,

Queue growth rate= 100 - 80 = 20.

Length of queue at 10 a.m. = 2 × 20 = 40.

So, 40 Customers are waiting at 10 A.M.

Learn more about GROWTH RATE here brainly.com/question/1437549

#SPJ4

7 0
1 year ago
Geometry!!Find the area of the rhombus!!
mars1129 [50]

The area of a rhombus is half of the product of the lengths of the diagonals.

area = (7.5 yd + 7.5 yd)(13 yd + 13 yd)/2

area = (15 yd)(26 yd)/2

area = 390 yd^2/2

area = 195 yd^2

Answer: 195

7 0
3 years ago
Other questions:
  • For the given decision algorithm, find how many outcomes are possible. HINT [See Example 1.] Alternative 1: Alternative 2: Step
    8·1 answer
  • Solve this inequality
    8·2 answers
  • Last week, a coral reef grew 20.2mm taller. How much did it grow in meters?
    11·1 answer
  • Solve for A<br> sinA=0.8829
    11·1 answer
  • Find the mean of the data in the bar chart below.
    5·2 answers
  • Y^2 x^3-7x = ysin(x+y)
    8·1 answer
  • Juan bought n packs of pencils. Each pack has 15 Write an equation to represent the total number of pencils p that Juan bought.
    5·1 answer
  • Tried to think didnt work it out help
    6·2 answers
  • Who want head...no but frr?​
    9·1 answer
  • What is the absolute value of Point C labeled on the number line?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!