All categories

3 years ago

Ivan and kate live 40 miles apart. ivan leaves his house at 8:00

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

5 0

Answer:

Time at which the meet = 10:17:24 am

Step-by-step explanation:

Speed of Ivan = 12 mph

Speed of Kate = 16 mph

Total distance traveled = Initial separation = 40 miles

Ivan leaves his house at 8:00 a.m and Kate leaves her house at 9:30 a.m

If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,

We have

Distance = Speed x Time

Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan

40 = t x 12 + (t-1.5) x 16

40 = 28t - 24

28t = 64

t = 2.29 hours

So after 2.29 hours of Ivan's starting they meet,

Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am

Time at which the meet = 10:17:24 am

Kruka [31]3 years ago

3 0

Ivan DATA:
rate = 12 mph ; time = t hrs ; distance = 12t miles

Kate DATA:
rate = 16 mph ; time = t-(3/2) hrs ; distance = 16t - 24 miles

Equation:
12t + 16t-24 = 40 miles

28t = 64
time = 16/7 = 2hr 17 min
Ans: 8:00 + 2hr 17 min = 10:17AM

You might be interested in

4) A garden is in the shape of a square with a perimeter of

Leni [432]

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = $4 \times Side$

We are given that A garden is in the shape of a square with a perimeter of 56 feet.

So, $4 \times side = 56$

Side = $\frac{56}{4}=14 feet$

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = $4 \times side = 4 \times 18 = 72 feet$

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet = $56 \times 1.21=67.76$

Cost of fencing 72 feet = $72 \times 1.21=87.12$

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

7 0

3 years ago

There are 6 red marbles, 4 blue marbles and 15 green marbles in a jar. If you reach in and randomly draw one, what is the probab

valina [46]

The answer is 24% that you get a red marble

4 0

3 years ago

Please help meeeeeee

sasho [114]

Answer:

the answer is a 6x2-12x+4x-8

5 0

4 years ago

Solve for the problem 13^3x-1=91

gogolik [260]

Answer:

${13}^{3} x - 1 = 91 \\ {13}^{3}x = 91 - 1 \\ {13}^{3}x = 90 \\ 2,197x = 90 \\ \frac{2197x}{2197} = \frac{90}{2197} \\ x = 0.04$

7 0

4 years ago

Buy 20 ounces nuts puts equal amount of ounces in each of 3 bags. How many ounces nuts in each bag. Answer in whole number and a

satela [25.4K]

There will be 6 bags with a leftover of 2/3 ounces of nuts

7 0

3 years ago