Answer:
Step-by-step explanation:
Given that :
Jack had 4 hours of school.
He spent 45 minutes in the library
1/2 hour on a science lecture and;
had a lunch break of 25 minutes
The objective is to determine how much time is left for the school to get over and we are to write the answer as a fraction.
In order to do that, we will have to convert the minutes into hours,
we all know that; 60 minutes = 1 hour.
Then,
45 minutes = (45/60)hour = 3/4 hour
25/60 minutes = 1/4 hour
Therefore, the amount of time left for the school to get over is:
= 
= 
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Answer:
The answer is below
Step-by-step explanation:
a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:
60 mi/h = d/x
d = 60x
When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:
40 mi/h = d/(x+1)
d = 40(x + 1) = 40x + 40
Equating both equations:
60x = 40x + 40
60x - 40x = 40
20x = 40
x = 40/20
x = 2 h
The time taken to drive there = x = 2 hours
b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours
c) The distance d = 60x = 60(2) = 120 miles
The total distance to and fro = 2d = 2(120) = 240 miles
The total time to and fro = 2 h + 3 h = 5 h
Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h
Answer:4200-600m=1800
Step-by-step explanation:
4200-600m=1800
Subtract 4200 from 1800
-600m=-3600
Divide both sides by -600
m=6
To solve this problem, we must recall that the formula
for velocity assuming linear motion:
v = d / t
Where,
v = velocity
d = distance
t = time
For condition 1: bus travelling on a level road
v1 = d1 / t1
<span>(v2 + 20) = (449 – d2) / 4 --->1</span>
For condition 2: bus travelling on a winding road
v2 = d2 / t2
<span>v2 = d2 / 5 --->2</span>
Combining equations 1 and 2:
(d2 / 5) + 20 = (449 – d2) / 4
0.8 d2 + 80 = 449 – d2
1.8 d2 = 369
d2 = 205 miles
Using equation 2, find for v2:
v2 = 205 / 5
v2 = 41 mph
Since v1 = v2 + 20
v1 = 41 + 20
v1 = 61 mph
Therefore
<span>the
average speed on the level road is 61 mph.</span>
Answer:
m= 3, -3
Step-by-step explanation:
Hope this helps!
