Help needed! (will mark as brainliest)
2 answers:
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We know that the first cyclist has traveled 24.2 km at a speed of 10 km/h. Lets use the equation 
to find the time of the first cyclist:
So, we know that she has traveled for 2.42 hours.
We also know that after she has traveled for 2.42 hours another<span> cyclist sets out in the same direction, so if </span>
represents the time of our first cyclist, <span>the time of our second cyclist will be </span>
.
Now we are going to use the equation
to relate the speeds and times of the two cyclist:
For the first one:
equation (1)
For the second one:
equation (2)
Replace (1) in (2)
The only thing left now is solve for:
We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.
So, we know that she has traveled for 2.42 hours.
We also know that after she has traveled for 2.42 hours another<span> cyclist sets out in the same direction, so if </span>
Now we are going to use the equation
For the first one:
For the second one:
Replace (1) in (2)
The only thing left now is solve for
We can conclude that the second cyclist will catch up the first cyclist after 3.63 hours.
Answer:
1 hour and 42.85 minutes.
Step-by-step explanation:
It is found from the process of reviewing that experience survey a roadbed in 3 hours.
Hence, in 1 hour the experience survey of the roadbed.
Again, it is found that the apprentice survey needs 4 hours to survey the same stretch of road.
So, in 1 hour the apprentice survey does of the roadbed survey.
If they work together then in 1 hour, the survey work will be done by ()=
parts.
Therefore, the total survey they will complete working together in hours i.e. 1 hour and 42.85 minutes. (Answer)
Answer:
It would take Henry 3 hours to clean the office carpets if Mary were not there to help
Step-by-step explanation:
Assume that it takes Henry t hours to clean the carpets
∵ Henry takes 3 hours less than Mary to clean the carpets
∵ Henry takes t hours
- That means add 3 to t to find Mary time
∴ Mary takes t + 3 hours
∵ The rate of Henry is
∵ The rate of Mary is
∵ Working together, they can clean the carpets in 2 hours
- Add the two rates and equate the answer by (their rate together)
∴
Multiply the two denominators and multiply each numerator by the other denominator to add the two fractions of the left hand side
∵
∴
- Add the two fractions in the left hand side
∴
∴
Use the cross multiplication
∵ (t² + 3t)(1) = 2(2t + 3)
∴ t² + 3t = 4t + 6
- Subtract 4t from both sides
∴ t² - t = 6
- Subtract 6 from both sides
∴ t² - t - 6 = 0
- Factorize it into two factors
∴ (t - 3)(t + 2) = 0
Equate each factor by 0 to find t
∵ t - 3 = 0
- Add 3 to both sides
∴ t = 3
OR
∵ t + 2 = 0
- Subtract 2 from both sides
∴ t = -2 ⇒ reject this answer because there is no - ve time
∴ t = 3
∴ Henry would take 3 hours to clean the carpets alone
It would take Henry 3 hours to clean the office carpets if Mary were not there to help