A car travels 60kilometer in 1 hour. At the same rate what distance will be covered by this car in y hour
Answers
Answer:
To approach this differently without finding the rate per unit time (in this case hours), we can just simply use a ratio.
You travel 60km per 90 minutes which is equivalent to 60km90min
This is by definition a rate (r=d/t). We want to know how long (time) it will take to travel 100km
So we are looking for 100kmt . Because the rates are the same, the two expressions are equal and thus can be set equal.
60km90min=100kmt
Cross multiply the denominator of t and 90min to the opposite sides.
60km⋅t=100km⋅90min
Finish solving for t
Divide by 60km on both sides.
t=100km⋅90min60km
Now simplify.
The km over km will cancel and we will be left with units of time in minutes. I will do the multiplication at this time as well.
t=900min60
Again, simplify by doing the division to arrive at
t=150min
If you want time in hours simply divide by 60 to get to 2.5 hours
Another way to look at this is after understanding the above process of using a proportion we can skip quite a few steps.
We are going 60km in 90 minutes. We want to scale up the distance (and time) to be 100km. We can multiply our original distance and time by the scale we want. We want to know the solution for 100km instead of 60. well 100km is 53 longer than 60km. I figured that our by saying 100km60km and simplifying to 53 . As such we can simply multiply our time by 53 since we already did it to the distance of 60km to get to 100km. So our 5⋅90min3=150min
Hopefully these work well for you. I use these types of proportions to do mental math very quickly in my head by simply using fractions to scale things - especially when it comes to distance/rate/time types of things.
Step-by-step explanation:
Answer:
60y km.
Step-by-step explanation:
speed = distance/time
speed = 60km/1hr
speed = 60 kmph.
Now, again speed = distance/time
distance=speed*time
distance=60 * y
distance = 60y km.