Question

Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.

177

likes
884 views

Answer to a math question Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.

Expert avatar
Santino
4.5
110 Answers
Cuando Matilde conduce a 50 mph, tarda (x - 4) minutos o ((x - 4)/60) horas. Entonces, tenemos la ecuación: (y = 50 * (x - 4) / 60) Cuando Matilde conduce a 40 mph, tarda (x + 5) minutos o ((x + 5)/60) horas. Entonces, tenemos la ecuación: (y = 40 * (x + 5) / 60) Podemos resolver este sistema de ecuaciones para encontrar los valores de (x) y (y). Multiplicando la primera ecuación por 60 se obtiene: (60 años = 50x - 200) Multiplicando la segunda ecuación por 60 se obtiene: (60 años = 40x + 200) Restando la segunda ecuación de la primera se obtiene: (0 = 10x - 400) Resolviendo para (x) se obtiene: (x = 40) minutos Sustituyendo (x = 40) en la primera ecuación se obtiene: (y = 50 * (40 - 4) / 60 = 30) millas Por tanto, (x + y = 40 + 30 = 70). Entonces, la suma de (x) y (y) es 70.

Frequently asked questions (FAQs)
Math question: In a circle, if the angle at the center is 60°, what is the measure of the angle at the circumference, in degrees?
+
What is the value of 3 raised to the power of 4, multiplied by the square root of 25?
+
Math question: Find the limit as x approaches positive infinity of (3x^2 + 2x) / (4x^2 - x)
+
New questions in Mathematics
a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.
The gross domestic product the gdp for the United States in 2017 was approximately $2.05x10^3. If you wrote this number in standard notation , it would be 205 followed by how many zeros
Determine all solutions to the inequality |2x + 6| − |x + 1| < 6. Write your final answer in interval notation
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.
-3x 2y = -6; -5x 10y = 30
Log(45)
41/39 - 1/38
Find 2 numbers whose sum is 47 and whose subtraction is 13
You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function
3+7
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
Given two lines 𝐿1: 𝑥 + 4𝑦 = −10 and 𝐿2: 2𝑥 − 𝑦 = 7. i. Find the intersection point of 𝐿1 and 𝐿2.
2.3 X 0.8
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
Beren spent 60% of the money in her piggy bank, and Ceren spent 7% of the money in her piggy bank to buy a joint gift for Deren, totaling 90 TL. In the end, it was observed that the remaining amounts in Ceren and Beren's piggy banks were equal. Therefore, what was the total amount of money that Beren and Ceren had initially? A) 120 B) 130 C) 150 D) 160 E) 180