Question

A car passes a landmark on a highway traveling at a constant rate of
55
kilometers per hour. One hour later, a second car passes the same landmark traveling in the same direction at
63
kilometers per hour. How much time after the second car passes the landmark will it overtake the first car?
Do not do any rounding.

Answer 1

@sangya21 @kah.x @mathmath333 @mathstudent55 @uri PLEASE HELP

Answer 2

not sure but something like this
Let t = time for the 2nd car to catch the 1st
From the information given, we know that the first car is 55 km ahead of the 2nd car when it passes the marker.

write a distance equation, dist = speed * time
63t = 55t + 55
63t - 55t = 55
12t = 55
t = 55/12
t = 4.6 hrs or 4 hrs 36 min

Answer 3

What about this one Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels
16
miles per hour slower than the westbound train. If the two trains are
680
miles apart after
4
hours, what is the rate of the eastbound train?

Answer 4

D=RT
680=(X+X-16)*4
680=(2X-16)4
680=8X-64
8X=680+64
8X=744
X=93
X-16= 93-16
EASTBOUND TRAIN =77mph

Answer 5

Keith drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
9
hours. When Keith drove home, there was no traffic and the trip only took
4
hours. If his average rate was
40
miles per hour faster on the trip home, how far away does Keith live from the mountains?

Answer 6

do u kno this one @sangya21

Answer 7

9y = 4(y+40)
9y = 4y +160
5y = 160
y = 32 mph
y(return) = 32+40
y(return) = 72 mph

9*32 = 4*72
288=288

Answer 8

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at
105
miles per hour. The eastbound train travels at
95
miles per hour. How long will it take for the two trains to be
560
miles apart?
Do not do any rounding.

Answer 9

combined speed = 105+95 = 200mph
t = d/speed
t = 560/200
t = 2.8hrs = 2hrs 48 mins

Answer 10

this is my last one
Two cars leave towns
800
kilometers apart at the same time and travel toward each other. One car's rate is
16
kilometers per hour less than the other's. If they meet in
4
hours, what is the rate of the slower car?

Answer 11

@sangya21 do u kno

Answer 12

D=RT
800=[(R-16)+R]4
800=(2R-16)4
800=8R-64
8R=800+64
8R=864
R=864/8
R= 108 KMH IS THE SPEED OF THE FASTER CAR.
108-16=92KMH IS THE SPEED OF TH SLOWER CAR.
PROOF:
800=(108+92)4
800=200*4
800=880

Answer 13

thankkkk youuu soo muchh @sangya21

Answer 14

Anytime :)

Answer 15

i have two on inequalities... can u help? @sangya21

Answer 16

I will try.

Answer 17

At the state fair, admission at the gate is
$11
. In addition, the cost of each ride is
$3
. Suppose that Kala will go on
x
rides.
Kala wants the total number of dollars she spends on admission and rides to be at most
t
. Using the values and variables given, write an inequality describing this.

Answer 18

@sangya21

Answer 19

11+3x<=t (less than equal to )

Answer 20

Kira takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are
$98
per credit hour, and at Pinewood, class fees are
$115
per credit hour. Kira is taking a combined total of
19
credit hours at the two schools.
Suppose that she is taking
w
credit hours at Westside. Write an expression for the combined total dollar amount she paid for her class fees.

Answer 21

thank u ,:)

Answer 22

98w + 115(19-w)

we did this question

Answer 23

thank u , Alan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took
7
hours. When Alan drove home, there was no traffic and the trip only took
4
hours. If his average rate was
27
miles per hour faster on the trip home, how far away does Alan live from the mountains?

Answer 24

7y = 4(y+27)
solve for y.

Answer 25

Two trains leave stations
238
miles apart at the same time and travel toward each other. One train travels at
75
miles per hour while the other travels at
95
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answer 26

238 = (75+95)* t
find t

Answer 27

so 238 = (170)* t then what?

Answer 28

@sangya21 whats t

Answer 29

t = time

Answer 30

what i do next @sangya21

Answer 31

238/170 = t
t = 1.4
t = 1hr and (0.4*60) mins
t = 1 hr and 24 mins