The time required to travel a certain distance varies inversely with the speed of the car. If 8 hours are required to go from Mumbai to Kolhapur at 36 kms per hour, find the time required to travel the same distance at 60 Kms per hour?
Answers
Answer:
Step-by-step explanation:
How long will it take to travel the same distance is 4.8 hours
Using this formula
t=k/r
Where:
t represent Time
k represent the constant of variation
r represent speed
Let plug in the formula
Time=8hours×36 miles per hour/60 miles per hour
Time=288 miles/60 miles per hour
Time=4.8 hours
Inconclusion How long will it take to travel the same distance is 4.8 hours.
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Step-by-step explanation:
We are given that the time, t, varies inversely with the speed, r. Thus, we have that
t
=
k
r
, where k is the constant of variation. The problem states that it takes 12 hours to drive a certain distance at 60 miles per hour. Thus, we have that
12
=
k
60
. We can solve this equation for k to find our constant of variation.
12
=
k
60
Multiply both sides of the equation by 60.
720
=
k
We get that our constant of variation is k = 720. Plugging this into our inverse variation equation gives the following:
t
=
720
r
We can use this equation to solve the problem. We want to know the time it will take to drive the same distance if we are traveling at 85 miles per hour. Thus, we plug r = 85 into our inverse variation equation, and solve for t.
t
=
720
85
≈
8.47
We get that t ≈ 8.47, so it takes approximately 8.47 hours to cover the distance if we are traveling at 85 miles per hour