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
madam [21]
3 years ago
7

Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the

eastbound cyclist. If after 6 hours they are 162 miles apart, how fast is each cyclist riding?
Mathematics
1 answer:
Bumek [7]3 years ago
8 0

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

<u>Solution:</u>

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

\text{Distance}=\text{Speed}\times\text{Time}

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

\Rightarrow6x+18+6x = 162

\Rightarrow12x=162-18

\Rightarrow x=\frac{144}{12}\rightarrow x=12

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be x+3=12+3=15 \text{ mph}

You might be interested in
what is the units digit of the sum of 1!+2!+3! ... n! when n=2019. Include an explanation and what a unit digit is.
horsena [70]

Hey!

Finding the factorial for the first few numbers, we have:

1!=1

2!=2

3!=6

4!=24

5!=120

6!=720

7!=720*7

8!=720*56

What we can see as a clear pattern from 5! and on is that our number ends with a 0, making the units digit 0. Therefore, when we add the units digit of 5! and on, we have a result of 0. So, we can simply add the units digits of 1!, 2!, 3!, and 4!, which is 1+2+6+4=13. Since the units digit is the last number, we can drop the tens place to get an answer of 3.


Feel free to ask further questions!

8 0
3 years ago
Tourists covered 640 km for a 4 hour ride by car and a 7 hour ride by train. What is the speed of the train, if it is 5 km/h gre
marissa [1.9K]
670 km i hoped that helped

4 0
3 years ago
Read 2 more answers
Martha works on a farm. She can pick 122 pounds of strawberries a day. She gets
olga55 [171]

Answer:

1464

Step-by-step explanation:

12x122=1464

6 0
2 years ago
what is the starting amount , the decay rate , and equation for this problem ? “you bought a video game for $50 dollars, but it
Aleks04 [339]

The starting amount is $50. The decay rate is 25%.The equation for this problem is f(x)=50(.25)^x

Also if you need the answer to the equation it is that the video game will be worth $0.

3 0
3 years ago
Can someone help me with this!!??
Xelga [282]

Answer:

16. Mst = 104°

17.  The value of mPL is 31°

18. 129°

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • I really need this plzzzzzz
    7·1 answer
  • Which property of equality would be used to solve the equation -3x = 252?
    14·2 answers
  • How would i rewrite this equation so it is not in fraction form<br><br><br>-5/(1-cos(-x))
    5·1 answer
  • There is a bag filled with 4 blue, 3 red and 5 green marbles.
    7·1 answer
  • 1. Give the rule for translating a point 4 units left and 8 units up.
    12·1 answer
  • 20 points PLEASE HELP IT'S DUE TODAY
    12·1 answer
  • Alisa, Mykia, and Martin decide to share the responsibility of walking their dog every day. There are 365 days in a year. How ma
    8·1 answer
  • GUYS, I KNOW THIS IS A LOT BUT BECAUSE I HAD NO ELECTRICITY I WAS UNABLE TO DO IT AND NOW I'M BEHIND. PLS HELP! I'M RUNNING OUT
    11·1 answer
  • FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) th
    15·2 answers
  • Evaluate the given functions at the indicated value and simplify.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!