SOLUTION: In a vehicle front wheel is 4m in circumference and rear wheel is 6m in circumference, After traveling few distance front wheel rotated 10 times than rear wheel. What is the dista

Question 1045132: In a vehicle front wheel is 4m in circumference and rear wheel is 6m in circumference, After traveling few distance front wheel rotated 10 times than rear wheel. What is the distance traveled by the vehicle? (please explain the method)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of turns for the rear wheel
Since the front wheel rotated 10 times more than the rear wheel,
= number of turns for the front wheel.
Since the circumference of the rear wheel, in meters, is ,
each turn of the rear wheel makes the vehicle advance meters.
So, = distance traveled by the vehicle, in meters.
Similarly, each turn of the from wheel corresponds to meters of distance traveled.
So, we can also say that
= distance traveled by the vehicle, in meters.
Because we are talking about the same distance
.
We just havwe to solve that equation to find ,
and then we can calculate = distance traveled by the vehicle, in meters.
To verify that we solved teh problem correctly, we can also calculate
= distance traveled by the vehicle, in meters,
and it should be the same distance.

So, the rear wheel turned times,
and the distance traveled by the vehicle, in meters, is
.

Verification:
If the rear wheel turned times,
the front wheel must have turned times.
with each turn of the front wheel corresponding to the vehicle advancing meters,
turns of the front wheel correspond to a distance traveled by the vehicle, in meters, of
.

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