If a car runs at 45km/hour it reaches its destination late by 10 minutes but if runs at 60km/hour it is late by 4 minutes what is correct time for journey
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the car runs correct jorney by18 minutes
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Answer: 24 minutes
Explanation:
Given,
A car runs at 45km/hr it reaches its destination late by 10 min but if runs at 60km/hr it is late by 4min
To Find,
The correct time of the journey.
Solution,
For car A
Speed = 45 km/hr
Time = 10 min = 10/60 = 1/6 hr
For car B
Speed = 60 km/hr
Time = 4/60 = 1/15 hr
Let us assume that the correct time is t hrs.
So,
For car A
Distance = speed *time = 45(t+1/6)
For car B
Distance = speed*time = 60(t+1/15)
Now, equating the distances as it will remain the same in both cases.
45( t + 1/6) = 60 ( t + 1/15)
45t + 7.2 = 60t + 3.6
45t - 60t = 7.2 - 3.6
15t = 3.6
t = 24 min
Hence, the correct time for the journey is 24 minutes.
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