Question

A man driving scooter at 30 kilometre per hour reaches his destination at 7 minutes late to an appointment if he had drive at 40 kilometre per hour he would have reached his Destination 3 minutes before then is destination is

Answer 1

Answer:  The destination is 1200 km away.

Step-by-step explanation:  Given that a man driving scooter at 30 kilometer per hour reaches his destination at 7 minutes late to an appointment.

If he had drive at 40 kilometer per hour, he would have reached his destination 3 minutes before.

We are to find the destination of the man.

Let the man be x kilometers away from his destination and he takes t hours to reach his destination.

Then, according to the given information, we have

$30=\dfrac{x}{t+7}\\\\\Rightarrow x=30(t+7)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$40=\dfrac{x}{t-3}\\\\\Rightarrow x=40(t-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Comparing equations (i) and (ii), we get

$30(t+7)=40(t-3)\\\\\Rightarrow 3t+21=4t-12\\\\\Rightarrow 4t-3t=21+12\\\\\Rightarrow t=33.$

From equation (i), we get

$x=30(33+7)=30\times40=1200.$

Thus, the destination is 1200 km away.