Answer:
V1 = 60 km/h
V2 = 40 Km/h
Step-by-step explanation:
The speed of an object is defined as
Speed = distance / time
Let
V1 be the speed of the faster car
V2 be the speed of the other car
t1 the time it took for the first car to arrive
t2 the time it took for the second car to arrive
d1 the distance traveled by first car
d2 the distance traveled by second car
We know thanks to the problem that
V1 = V2 + 20 Km/h
t1 = t2 - 1 hour
d1 = d2 = 120 Km
d1 = V1 * t1
d2 = V2* t2
V1 * t1 = V2* t2
V1* t1 = (V1 -20)*(t1 +1)
The system of equations
(V1 -20)*(t1 +1) = 120
V1 * t1 = 120
120 + (120/t1) -20*t1 = 140
(120/t1) -20*t1 = 20
Which gives,
t1 = 2
This means
V1 = 60 km/h
V2 = V1 - 20 Km/h = 40 Km/h
Answer:
Step-by-step explanation:
Answer:
The length of metal band around the given clock is 50. 24 cm.
Step-by-step explanation:
Here, the diameter of given clock = 16 cm
Now, Diameter = 2 x Radius
So, Radius = D/2 = 16 cm/2 = 8 cm
⇒The radius of the clock = 8 cm
Now, The metal Band around it = The CIRCUMFERENCE of the watch
Circumference of the clock = 2 π r
= 2 x ( 3.14) x ( 8) = 50.24 cm
or, C = 50.24 cm
Hence, the length of metal band around the given clock is 50. 24 cm.
Answer: 0.3679
Step-by-step explanation:
The cumulative distribution function for exponential distribution is :-
, where 
is the mean of the distribution.
Given : A mean length of waiting time equal 
minutes
i.e. Mean number of calls answered in a minute 
Now, the proportion of callers is put on hold longer than 2.8 minutes is given by :_
Hence, the proportion of callers is put on hold longer than 2.8 minutes = 0.3679
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