Answer: 12km/hr
Step-by-step explanation:
Let’s convert the watch into 24 hour format…
thus 2 p.m. will be 14…
assume that Sanjay started travelling at ‘x’ in the morning…
The distance to reach point A will be always constant and let’s assume it as ‘d’
thus from the first two conditions…
speed=distance/time;
10=d/(14-x) i.e. 10(14-x) = d this will be the first equation
and
15=d/(12-x) i.e. 15(12-x) = d this will be the second equation
thus by solving above equations… 10(14-x) = 15 (12-x)
we get x=8;
i.e. Sanjay started travelling at 8 a.m. in the morning…
Now let’s calculate the speed required if he want to reach A at 1 p.m. i.e. 13 in the noon according to our 24 hour format clock.
thus putting x=8 in first or second equation above,
10 (14 - 8) = d or 15 (12-8) = d
we get distance d=60 km
and the speed required to reach A at 1 p.m. will be:
speed=distance/time;
thus, speed=60/(13–8)
= 12 km/hr
with this speed Sanjay must travel to reach A at 1 p.m