Question 15.

Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour, is

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We can use the formula for when two people moving towards each other and meeting in a straight line. $t^2=t_1\times\ t_2$

Where $t$ is time taken for them to meet each other. $t_1$ is the time taken by person 1 to reach the destination after meeting and

$t_2$ is the time taken by person 2 to reach the destination after meeting

We are told they meet each other in 1 and a half hours, that is 90 minutes.

And if Sunil takes X minutes to reach A, Anil will take X+75 minutes

Since it is given that, Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A

$90^2=x\left(x+75\right)$

$8100=x^2+75x$

$x^2+75x-8100=0$

$\dfrac{\left(-75\pm\sqrt{5625+32400}\right)}{2}$

$\dfrac{\left(-75+195\right)}{2}$

$x=60$

Total time of travel of Anil is, $90\ \min\ +60\ \min\ +75\ \min$

Total of 225 minutes.

Time in hours will be 3.75 hours.

Speed is $\dfrac{45}{3.75}=12\ \dfrac{km}{hr}$

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Question 15.

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Question 15.

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