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raketka [301]
3 years ago
11

A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If

all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

Answer:

Step-by-step explanation:

Let the speed of cyclist be C and bus be B.

Using the concept of relative speed:-

For incoming bus,speed = B + C

For overtaking bus,speed = B - C

Now,distance travelled b/w 2 incoming bus = (B + C)*4

Now,distance travelled b/w 2 overtaking bus = (B - C)*12

so,

(B + C)*4 = (B - C)*12

or, B=2C

Hence,distance b/w two buses in same direction,d=4*(3/2)B=6 B

Therefore, time gap=d/B=6 minutes

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Aneli [31]

We have to find the value of the expression i^{233}

We know that the below values.

i^2=-1\\i^4=1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4

i^{233}=(i^4)^{58}\cdot i

Now, we know that i^4=1

Hence, we have

i^{233}=(1)^{58}\cdot i

i^{233}=1\cdot i

i^{233}=i

C is the correct option.

5 0
3 years ago
Read 2 more answers
The Mayors of two small towns that adjoin a large community have engaged in an argument on which of their cities is safer, with
Lelu [443]

Answer:

1. City A: 150 violent crimes per 100,000 residents.

   City B: 161 violent crimes per 100,000 residents.

2. City A

Step-by-step explanation:

City A:

Population = 123,000

Violent crimes = 185

Violent crimes per 100,000 people:

V_{100k} = \frac{185*100,000}{123,000} \\V_{100k} = 150

City B:

Population = 84,000

Violent crimes = 135

Violent crimes per 100,000 people:

V_{100k} = \frac{135*100,000}{84,000} \\V_{100k} = 161

1. City A: 150 violent crimes per 100,000 residents.

   City B: 161 violent crimes per 100,000 residents.

2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.

5 0
3 years ago
Several psychology majors conducted an experiment around campus, asking students to count backwards from 40 to 0 as fast as poss
Dominik [7]

Answer:

Step-by-step explanation:

POINTS:

- Out of every 15 students, 6 were successful in the task.

- The professors' success rate is 140% of the students' success rate.

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3 years ago
According to the property √a/√b= √a/√b, which choice is equivalent to the quotient below?
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Answer:

B

Step-by-step explanation:

\frac{\sqrt{125} }{\sqrt{5}} =\frac{\sqrt{25.5} }{\sqrt{5} } =\frac{5\sqrt{5} }{\sqrt{5} } =5

If you don't understand, you can ask.

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3 years ago
Y=2x+9 what the answer
tekilochka [14]

Answer:

x=Y/2−9/2

Step-by-step explanation:

please mark brainliest :)

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