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Step-by-step explanation:
Here,
Total distance travelled = 22 km
Let the distance travelled by car be x. So,
Distance travelled by motorcycle = 22-x
Total time = 1hr
Let the time taken to travel by the car be y. So,
Time taken to travel by the motorcycle = 1-y
Speed of the car = 30 km/hr
Speed of the motorcycle = 18 km/h
Now, Speed = distance / time.
So, for the car
30=x/y
x=30y ...(1)
For the motorcycle,
18=(22-x)/(1-y)
Using equation (1)
18=(22-30y)/(1-y)
18(1-y)=22-30y
18-18y=22-30y
y-18y+30y=22-18
12y=4
y=4/12
y=0.33
Substitute y = 0.33 in equation (1)
x=30y
x=30(1/3)
x=10
Therefore, distance travelled by the car is 10 km.
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RohitRajsinghania:
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