How many hours will a car traveling at 65 miles per hour take to catch up to a car traveling at 55 miles per hour if the slower
1 answer:
It will take the first car 5.5 hours to catch up to the second car.
Step-by-step explanation:
Speed of second car = 55 miles per hour
As the car has started one hour before; it has already traveled
Distance = Speed * Time
Distance = 55*1 = 55 miles
Let,
x be the number of hours.
Distance covered in x hours = 55x
S(x) = 55x+55
Speed of first car = 65 miles per hour
Distance covered in x hours = 65x
F(x) = 65x
For catching up;
F(x) = S(x)
Dividing both sides by 10
It will take the first car 5.5 hours to catch up to the second car.
Keywords: speed, distance
Learn more about speed at:
#LearnwithBrainly
You might be interested in
Answer:
Step-by-step explanation:
Solving for x means you have to factor. First factor out the GCF of 2 to get:
and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:
1, 18
2, 9
3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:
and
and
and
and
which finally simplifies to
No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!
