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
Pachacha [2.7K]
3 years ago
8

Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back

to Pilar, the boat travels the same route at the same speed for 2 minutes, and then Pilar uses the remote control to increase the boat's speed by 10 m/min. So the return trip is 60 seconds faster. How long does the return trip take?
Mathematics
1 answer:
ankoles [38]3 years ago
3 0

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

You might be interested in
HELP! THIS IS DUE TODAY, and i will mark brainlest!
blondinia [14]
Easy bullet point 2 is the answer
7 0
3 years ago
Read 2 more answers
3.2x+6.5-2.4x-4.4. Please simplify
spayn [35]

Answer: 0.8x + 2.1

Step-by-step explanation:

8 0
2 years ago
If you break your lips will god be there to help you sleep for the concert in 7 years why god
Fittoniya [83]

Answer:

??

Step-by-step explanation:

lips don't have bone.

8 0
2 years ago
Math sucks please help​
FromTheMoon [43]
Is There a fourth answer? I think those 3 are wrong
7 0
3 years ago
Read 2 more answers
Informal English is never used by educated <br> True,False
Aloiza [94]
False false
False false
3 0
3 years ago
Other questions:
  • What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch? Do not use units or commas in your an
    5·1 answer
  • What’s would be the answer to 95 plus 95
    7·1 answer
  • Two friends, Alejandro and Mia, agreed to split the check at a restaurant. Alejandro ordered $\$12$ worth of food and Mia ordere
    13·2 answers
  • Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
    6·1 answer
  • Round 721295.198715 to the nearest ten.
    12·1 answer
  • What Is The Measure Of
    5·1 answer
  • Find the slope of the line (2,0) (1,3)
    5·1 answer
  • Please help!<br> Write down the correct type of angle for angles A to E.
    9·1 answer
  • What is 3x 2 2/3 x 1/3
    8·1 answer
  • Let m=4 and n=36. What is the value of m+.9?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!