2 answers

A cyclist bikes at a constant speed for 18 miles

Question:

A cyclist bikes at a constant speed for 18 miles. He then returns home at the same speed, but takes a different route. His return trip takes one hour longer and is 23 miles. Find his speed

Answers

Let X be distance per hour,
Ist trip=18miles =18/X
2nd trip=23miles =23/X,=1hr longer
speed,S=2nd trip-1st trip
X=23-18
X=5mph.

checkings
23/5 -18/5 =4.6-3.6=1hr.

Let the speed be x mph

time for first trip = 18/x
time for 2nd trip = 23/x

23/x - 18/x = 1
5/x = 1
x = 5

his speed is 5 mph

check:
time for 1st trip = 18/5 = 3.6 hrs
time for 2nd trip = 23/5 = 4.6 hrs, which is 1 hour more.

Similar Solved Questions

1 answer
Problem 1 Comments: Our understanding of the solar system has been totally transformed since the onset...
Problem 1 Comments: Our understanding of the solar system has been totally transformed since the onset of the space age. Here we review the spectac- ular achievements of one of the earliest interplanetary missions Mariner 9. I expect you will have to do a few minutes of web-searching to answer this ...
1 answer
Identify the three periods of prenatal development and indicate one characteristic of each stage. What are...
Identify the three periods of prenatal development and indicate one characteristic of each stage. What are some effects of maternal stress on the developing baby?...
1 answer
4. [6 Points] Use the Divergence Theorem to evaluate Fids, where F = (xºy+z)i + xze”...
4. [6 Points] Use the Divergence Theorem to evaluate Fids, where F = (xºy+z)i + xze” j + (ry – 324) k and S consists of the five “lower” faces of the cube [0, 1] x [0, 1] x [0, 1]. That is, the face with z = 1 is not a part of S. (Hint: The surface S is not closed so you...
1 answer
What is the diameter of an aperture needed for two objects to be viewed as separate,...
What is the diameter of an aperture needed for two objects to be viewed as separate, if the minimum angle is 9.68 degrees (0.169 radians) and the wavelength of light is 710 nm? O 5130 nm O 2.64x104 nm 1.32x104 nm 89.5 nm...
1 answer
Do It Review 9-25 Bridgeport Corp. purchased a piece of equipment for $52,400. It estimated a...
Do It Review 9-25 Bridgeport Corp. purchased a piece of equipment for $52,400. It estimated a 8-year life and $3,000 salvage value. At the end of year 4 (before the depreciation adjustment). estimated the new total life to be 10 years and the new salvage value to be $5,300. Compute the revised depre...
1 answer
How do you find the integral #ln(x^2 + 2x + 2)dx#?
How do you find the integral #ln(x^2 + 2x + 2)dx#?...
1 answer
I need help with 8 a and b please. The aqueous base that we are suppost...
I need help with 8 a and b please. The aqueous base that we are suppost to use is OH-. Thanks in advance. 8. Draw a mechanism for the reaction that occurs when the following materials are treated with aqueous base. and b. WK and b....
1 answer
1. Let k E C and define f:C+C to be the constant function f(x) = k....
1. Let k E C and define f:C+C to be the constant function f(x) = k. Use part (1) or (2) of to prove that f is continuous. (1) For every closed set FCC, the preimage f-1(F) is F' n D for some closed set F' (2) For every open set G C C, the preimage f-1(G) is G'' n D for some open set ...
1 answer
In Laurence Meyer’s “Monetarism Without Money” model, there are “backward-looking” elements in his equations (1) and...
In Laurence Meyer’s “Monetarism Without Money” model, there are “backward-looking” elements in his equations (1) and (2) so that last period’s level of the output gap and last period’s rate of inflation affect this period’s output gap and inflation rat...
1 answer
Wildhorse Corporation recently reported an EBITDA of $32.90 million and net income of $9.7 million. The...
Wildhorse Corporation recently reported an EBITDA of $32.90 million and net income of $9.7 million. The company had $6.8 million in interest expense, and it's average corporate tax rate was 35 percent. What was its depreciation and amortization expense? (Round answer to 2 decimal places and ente...
1 answer
A metal sphere has a charge of +9.0HC. What is the net charge after 9.1 x...
A metal sphere has a charge of +9.0HC. What is the net charge after 9.1 x 1013 electrons have been placed on it? Number UnitšTo the tolerance is +/-2%...
1 answer
Question 4 Indicate the immediate effect each of the following transactions has on net income and...
Question 4 Indicate the immediate effect each of the following transactions has on net income and the balance in the allowance for doubtful accounts. Select your answer by clicking in the drop down box to the right of each transaction. Answer choices may be used once, more than once, or not at all. ...
1 answer
Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment...
Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.97 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $22...
1 answer
8 8 요 8 8 요
8 8 요 8 8 요...
1 answer
Income statement statement of changes in equity statement of financial position These accounts and balances are...
income statement statement of changes in equity statement of financial position These accounts and balances are taken from the financial statements of Sarasota Corporation for the year ended December 31, 2022 Retained earnings, January 1 Utilities expense Equipment Accounts payable Income tax paya...
1 answer
Please answer part 1,2, and 3 in complete sentences . 1. How does the resonant frequency...
Please answer part 1,2, and 3 in complete sentences . 1. How does the resonant frequency relate to the inductance and capacitance in a series LC circuit? 2. When the circuit in Figure 1 is tuned to resonant frequency, how does the voltage cross the resistor relate to the applied voltage? U1 V1 200...
1 answer
In a random sample of 200 people, 154 said that they watched educational television. Find the...
In a random sample of 200 people, 154 said that they watched educational television. Find the 90% confidence interval of the population proportion of people who watched educational television. Which formula will you use for this problem? O3 -1.14( ) <-<a+bala ) On= (*12:0) On=p:4 () Oộ -...
1 answer
3741 $6,000 84 $100 50512/DLH 5800 3752 542 846 5150 3748 1.558 850 Total Product Cost...
3741 $6,000 84 $100 50512/DLH 5800 3752 542 846 5150 3748 1.558 850 Total Product Cost + Number of Units - Unit Product Cost Units Shipped Number Cost Summary Direct Materials Direct Labor Manufacturing Overhead Total Product Cost Unit Product Cost Date July 10 Balance $8,100 $ 500 $ 600 $9,200 Know...