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Mathematics

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A car leaves ...

Question

A car leaves Agra at $11$ a.m traveling at $50 k m / h$ . How fast would a second car be traveling if it leaves Agra an hour later and overtakes the first car at $5$ p.m on the same day?

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Solution

Speed of first car $= 50 k m p h$
Time duration between 11 am and 5 pm $= 6 h o u r s$
Distance $= 50 \times 6 = 300 k m s$
Let speed of second car be 's' kmph
As second hour leaves one hour later, hence it will travel 300 kms in 5 hours
Speed $= \frac{300}{5} = 60 k m p h$
Hence speed of second car is 60 kmph.

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A car leaves Agra at 11 a.m traveling at 50km/h. How fast would a second car be traveling if it leaves Agra an hour later and overtakes the first car at 5 p.m on the same day?

Speed of first car =50kmphTime duration between 11 am and 5 pm =6 hoursDistance =50×6=300 kmsLet speed of second car be 's' kmphAs second hour leaves one hour later, hence it will travel 300 kms in 5 hoursSpeed =3005=60 kmphHence speed of second car is 60 kmph.

A car leaves Agra at $11$ a.m traveling at $50 k m / h$ . How fast would a second car be traveling if it leaves Agra an hour later and overtakes the first car at $5$ p.m on the same day?