In covering a distance of $30$ km, Abhay takes $2$ hours more than Sameer. If Abhay doubles his speed, then he would take $1$ hour less than Sameer. What is Abhay's speed? (in km/hr)

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Solution

The correct option is C $5$
Let Abhay's speed be $x$ km/hr and Sameer's speed by $y$ km/hr
Then $\frac{30}{x} - \frac{30}{y} = 2$ ..... (i)
and $\frac{30}{y} - \frac{30}{2 x} = 1$ ......(ii)
Adding equation (i) and (ii), we get
$\frac{30}{x} - \frac{30}{2 x} = 3$
$\Rightarrow \frac{30}{2 x} = 3$
$\Rightarrow 2 x = 10$
$\Rightarrow x = 5$ km/hr

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In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. What is Abhay's speed? (in km/hr)

The correct option is C 5Let Abhay's speed be x km/hr and Sameer's speed by y km/hrThen 30x−30y=2 ..... (i)and 30y−302x=1 ......(ii)Adding equation (i) and (ii), we get 30x−302x=3⇒302x=3⇒2x=10⇒x=5 km/hr

In covering a distance of $30$ km, Abhay takes $2$ hours more than Sameer. If Abhay doubles his speed, then he would take $1$ hour less than Sameer. What is Abhay's speed? (in km/hr)